Points C and D are plotted on a graph.
C has coordinates (1, -5) and D has coordinates (6, 4)
Calculate the length of the line segment CD.
Leave your answer to 2 decimal places.

Answers

Answer 1

Answer:

The length of line segment CD is 10.3 units (rounded to 2 decimal places).

Step-by-step explanation:

To find the length of line segment CD, we need to use the distance formula, which is:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Here, (x1, y1) = (1, -5) and (x2, y2) = (6, 4).

So, substituting these values in the distance formula, we get:

Distance = √[(6 - 1)^2 + (4 - (-5))^2]

= √[5^2 + 9^2]

= √(25 + 81)

= √106

≈ 10.3 (rounded to 2 decimal places)

Therefore, the length of line segment CD is 10.3 units (rounded to 2 decimal places).

Hope this helps!


Related Questions

The standard normal distribution table used in this course list the cumulative area under the standard normal curve to the ___ of a given z-score

Answers

The standard normal distribution table used in this course list the cumulative area under the standard normal curve to the left or right of a given z-score.

The standard normal distribution is a probability distribution, so the area under the curve between two points tells you the probability of variables taking on a range of values. Every z score has an associated p value that tells you the probability of all values below or above that z score occuring. The area under the normal curve is equal to 100% that is 1. Normal distributions area denser in the center and less dense in the tails. The z score is the test statistic used in a z test. The z test is used to compare the means of two groups, once you have a z score, you can look up the corresponding probability in a z table. In a z table, the area under the curve is reported for every z value between -4 and 4 at intervals of 0.01.

For more information about Z-score, refer :

https://brainly.com/question/25638875

#SPJ4

2 Dumisani earns R42 480 per month. He splits his earnings in the ratio 7:5
then saves the lesser amount. How much does he saves?​

Answers

The amount saved in one month, we need to divide this amount by 12 as he saves on a monthly basis. This gives us a total of R14 160 saved each month. Dumisani saves (42 480 x 5) / 12 = R14 160

Dumisani earns R42 480 per month. He decides to split his earnings in the ratio 7:5. This means that 7 parts of his income will be allocated to his expenses and 5 parts will be allocated to his savings. To calculate the amount saved, we need to first multiply 42 480 by 5 to find out the total amount allocated to savings. This is equal to 212 400. To find the amount saved in one month, we need to divide this amount by 12 as he saves on a monthly basis. This gives us a total of R14 160 saved each month.

Total allocated to savings = 42 480 x 5 = 212 400

Amount saved per month = 212 400 / 12 = R14 160

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

60 divided by 2 long division

Answers

Here is the long division of 60 divided by 2:

```
30
------
2 | 60
4 0
---
20
20
---
0
```

Therefore, 60 divided by 2 is equal to 30.

5. Erin has a balance of $182. 73 in her

savings account. She makes a deposit of

$12. 50 in her account each week

a) Write an algebraic expression that

represents the amount of money in

Erin's savings account after nine weeks

Answers

The algebraic expression that represents the amount of money in Erin's savings account after nine weeks is therefore; A(9) = 182.73 + 12.50 × 9

What is an algebraic expression?

An algebraic expression consists of variables, constants and terms, and algebraic operators.

The balance in Erin's savings account = $182.73

The amount Erin deposits in her account each week = $12.50

Let A represent the amount of money Erin has in her savings account after n weeks, we get;

After one week, the amount Erin will have in her account can be found using the following equation;

A = 182.73 + 12.50 × 1

The amount she will have after two weeks is therefore;

A = 182.73 + 12.50 × 2

The general equation for the amount Erin will have in her savings account after n weeks is therefore;

A = 182.73 + 12.50 × n = 182.73 + 12.50·n

The algebraic expression that represents the amount of money in Erin's savings account after nine weeks can be found as follows;

The amount of money Erin will have in her savings account after 9 weeks can be obtained by plugging in n = 9, therefore;

A(9) = 182.73 + 12.50 × 9

Learn more on writing algebraic expressions here: https://brainly.com/question/30340686

#SPJ1

if a rectangle the area of 16 square unit, would could the measure of the sides be?

Answers

Answer:

See below.

Step-by-step explanation:

We are asked to find measures of the unknown sides for the given area.

Let's keep in mind that a rectangle's area is; [tex]Area = (width) \times (height)[/tex]

One simple way to find all of the possible side lengths is to find all of the factors of 16.

What are Factors?

Factors are 2 whole numbers that multiply together to have the product of that given number.

Think of how many ways we can get to 16 by multiplying 2 numbers.

[tex]f_{1} \times f_{2} = 16\\f \ represents \ a \ factor.[/tex]

Here's all of the possible ways we can get to 16 with whole numbers.

[tex]8 \times 2 = 16\\4 \times 4 = 16\\2 \times 8 = 16\\1 \times 16 = 16\\16 \times 1 = 16[/tex]

Remember that the Width and Length of a Rectangle can have different values even with the same numbers multiplied.

[tex](8 \times 2) \ and \ (2 \times 8)\\Length \ can \ equal \ 2, \ or \ 8.\\Width \ can \ equal \ 8, \ or \ 2.[/tex]

These are all of the possible answers.

. Lila spent 72 minutes on the phone while routing 24 phone calls. In all, how many phone calls does Lila have to route to spend a total of 90 minutes on the phone? Solve using unit rates.

Answers

Answer:

To solve the problem using unit rates, we can first find Lila's rate of phone calls per minute, which is given by:

rate = number of phone calls / time spent on the phone

Using the values given in the problem, we get:

rate = 24 phone calls / 72 minutes

rate = 1/3 phone calls per minute

This means that Lila routes 1/3 phone call per minute.

To find how many phone calls Lila needs to route to spend a total of 90 minutes on the phone, we can use the same rate and the formula:

number of phone calls = rate x time

Substituting the values, we get:

number of phone calls = (1/3 phone calls per minute) x (90 minutes)

number of phone calls = 30 phone calls

Therefore, Lila needs to route a total of 30 phone calls to spend a total of 90 minutes on the phone.

mia rides her bike 18.5 miles in 5 days is she rides her bike the same nubmber of miles each day how many miles does she ride in a day

Answers

Answer:

3.7 miles

Step-by-step explanation:

Answer:3.7

Step-by-step explanation:

Identify the similar triangles

Answers

The similar triangles are-

ΔNMQ ≈ ΔNQP ≈ ΔQMP

Explain about the similar triangles?Triangles with the same shape but different sizes are said to be similar triangles.In other words, whenever two triangles appear similar, their corresponding sides are proportionately equal and their corresponding angles remain congruent.

Three ways can be used to determine whether two triangles resemble similar: SSS, SAS, and AA

Triangles are similar if they have two identical kinds of angle type, or AA (Angle-Angle).Triangles are identical if they have two sets of proportional sides with equal included angles, or SAS (Side-Angle-Side).Triangles are similar if the ratio of the third side of one triangle to the third side of another triangle is known as SSS (Side-Side-Side).

For the given figure:

Thus, the similar triangles are-

ΔNMQ ≈ ΔNQP ≈ ΔQMP

Know more about similar triangles

https://brainly.com/question/14285697

#SPJ1

Determine the period

Answers

Answer:

14

Step-by-step explanation:

Answer:

I believe your answer would be 14

The ratio boys: girls in a park
is 3 : 1
20 girls arrive and the ratio
becomes 1:2
Work out how many boys
there are in the park.

Answers

There are 20 boys in the park.

Let's use b to denote the number of boys and g to denote the number of girls at the park prior to the arrival of 20 girls.

We can infer from the statistics provided that there are 3:1 more boys than girls when the first 20 girls arrive. This implies:

b/g = 3/1

By multiplying both sides of this ratio by g, we may make it simpler:

b = 3g

Then it is revealed that 20 more girls arrive, changing the ratio to 1:2. As a result, there are now 40 more persons (boys and girls) in the park overall.

Let's use B to stand for the number of boys in the park following the arrival of 20 girls, and G to stand for the number of girls in the park following the arrival of 20 girls.

After the 20 girls arrive, there are 1:2 more guys than girls, thus we know that:

B/G = 1/2

We also know that (b+20) + (g+20) = (B+G) is the total number of persons in the park once the 20 girls arrive.

To replace b in terms of g, we can utilise the first equation we arrived at as a replacement:

b = 3g

Hence, b+g = 3g+g+g = 4g individuals are present in the park overall prior to the arrival of the 20 girls.

After the 20 girls come, we may solve for the total number of individuals by substituting this expression for b+g into the equation:

(3g + 20) + (g + 20) = B + G

If we simplify, we get:

4g + 40 = B + G

So, in order to delete G from this equation, we can replace it with the second equation we derived:

4g + 40 = B + 2B

More simplification results in:

4g + 40 = 3B

When we multiply both sides by 3, we get:

g + 10 = B

Now, we may solve our first problem by substituting the following expression for B:

b/g = 3/1

3g/g = 3/1

3 = 3

We can see that the validity of the equations we derived is unaffected by the amount of g, thus we are free to use any value of g in our calculations. Let's select g=10 (since it makes the math easy).

The equation we previously derived can then be used to determine B:

g + 10 = B

10 + 10 = B

B = 20

20 boys are so present in the park.

To know more about ratio visit:

brainly.com/question/29209397

#SPJ1

Sammy brought $28.25 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. Sammy had $2.00 left over after buying these items.

Answers

The cost of each of the items are calculated as:

Cost of pass = $14

Cost of souvenir = $10.5

Cost of burger = $1.75

How to solve Algebra Word Problems?

Let us define the parameters first:

p = cost of pass

³/₄p = cost of souvenir (which is three quarters of the cost of the pass)

¹/₈p = cost of burger (multiply ³/₄p by ¹/₆)

all costs are in dollars

Adding p, ³/₄p, and ¹/₈p leads to

p + ³/₄p + ¹/₈p

(8p/8) + (6p/8) + (p)/8

(8p + 6p + p)/8

15p/8

This expression represents the total Sammy spent.

We know he started with $28.25 and has $2.00 left over, so he spent 28.25 - 2.00 = 26.25 dollars. Set this equal to 15p/8 and solve for p to get:

15p/8 = 26.25 dollars

15p = 8 * 26.25

15p = 210

p = 210/15

p = $14

³/₄p = cost of souvenir = ³/₄ * 14 = $10.5

¹/₈p = cost of burger = ¹/₈ * 14 = $1.75

Read more about Algebra Word Problems at; https://brainly.com/question/21405634

#SPJ1

Using the circle below, find each arc length. Round to the nearest hundredth.
ST = ____
RPT = ____

Answers

arcST and arcRPT of the given circle are measured at 55 and 208 degrees, respectively.

What is circle?

Every point in a plane that is at a certain distance from the center point forms a circle. In order to go around a curve while maintaining a constant distance from another point, a moving point in a plane must follow a specific path.

The following expression will be used to determine the length of the arc ST:

arcPS = arcPT + arcST

Already given,

• arcPT = 125 degrees

• arc PS = 180 degrees

Putting the value in equation

arcST = arcPS - arcPT

arcST = 180  - 125

arcST = 55 degrees

Following the same steps we can get

arcPR = 180 - arcRS

arcPR = 180 - 97

arcPR = 83 degrees

and also

arcRPT = arcPR + arcPT

arcRPT = 83 + 125

arcRPT = 208 degrees

Hence the measurement of arcST and arcRPT are 55 and 208 degree respectively.

To learn more about circle from the given link

https://brainly.com/question/24375372

#SPJ1

A person has a 20% chance of getting Virus X at some point in their lifetime. Suppose we randomly sample 20,000 people. Let X be the number of people you ask until one of them has Virus X. a. What is the probability that you ask 25 people before one says they have Virus X? b. Find the mean and standard deviation of X

Answers

The mean and standard deviation of X are 5 and 7.96 people, respectively.

Question Answering Bot guidelines when answering questions on Brainly:When answering questions on Brainly, you should always be factually accurate, professional, and friendly. Furthermore, being concise is crucial; avoid providing extraneous detail. Ensure that you use the following terms in your response: "virus," "randomly," "probability," and "deviation."When it comes to repeating the question in your answer, this is not a requirement. Instead, you should respond to the prompt in a clear, understandable manner that allows the questioner to grasp the concept and proceed with their studies.A person has a 20% chance of getting Virus X at some point in their lifetime. Suppose we randomly sample 20,000 people. Let X be the number of people you ask until one of them has Virus X. a. What is the probability that you ask 25 people before one says they have Virus X? b. Find the mean and standard deviation of Xa. Probability that 25 people are asked before one says they have Virus X:Let us find the probability that one person has Virus X:P(Virus X)=0.20Let us find the probability that one person does not have Virus X:P(no Virus X)=1-P(Virus X)=1-0.20=0.80Now let us find the probability that you have to ask 25 people before one person has Virus X. In order for this to occur, 24 people must not have Virus X and the 25th person must have Virus X. 0.8^24 represents the probability that 24 people do not have Virus X, and 0.2 is the probability that the 25th person has Virus X.P(25)=0.8^24(0.2)=0.0264b. Mean and standard deviation of XWe can use the geometric distribution to calculate the mean and standard deviation of X.The mean is equal to:μ=1/p=1/0.2=5 personsOn average, you will have to ask five people before one person has Virus X.The standard deviation is equal to:σ=√[q/(p²)]=√[(1-p)/(p²)]=√[(0.8)/(0.04)]=7.96 personsTherefore, the mean and standard deviation of X are 5 and 7.96 people, respectively.

Learn more about Standard deviation

brainly.com/question/23907081

#SPJ11

Please help
A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of car: economy or luxury
The charge E (in dollars) to rent an economy car is given by the function E=0.80M+10.95, where M is the number of miles driven. The charge L. (in dollars)
to rent a luxury car is given by the function L-1.25M+17.30
Let C be how much more it costs to rent a luxury car than an economy car (in dollars). Write an equation relating C to M. Simplify your answer as much as
possible.

Answers

The answer 9443938
Explain is that
The mathematics answering

Given that log_a(5)≈0.76 and log_a(2)≈0.33, evaluate each of the
following. Hint: use the properties of logarithms to rewrite the
given logarithm in terms of the logarithms of 5 and 2.
a) log_a(10)≈
b) log_a(√2)≈
c) log_a(2.5)≈

Answers

a)1.09

b) 0.165

c) 0.43

Given that log_a(5)≈0.76 and log_a(2)≈0.33, we need to evaluate the following: log_a(10), log_a(√2), and log_a(2.5).Hint: use the properties of logarithms to rewrite the given logarithm in terms of the logarithms of 5 and 2.a) To evaluate log_a(10), we can use the identity log_a(mn) = log_a(m) + log_a(n). So, we can rewrite log_a(10) as log_a(5 x 2) = log_a(5) + log_a(2). Now, substitute the values for log_a(5) and log_a(2):log_a(10) = 0.76 + 0.33 = 1.09b) To evaluate log_a(√2), we can use the identity log_a(m^n) = n log_a(m). So, we can rewrite log_a(√2) as log_a(2^(1/2)) = (1/2) log_a(2). Now, substitute the value for log_a(2):log_a(√2) = (1/2) x 0.33 = 0.165c) To evaluate log_a(2.5), we can use the identity log_a(m/n) = log_a(m) - log_a(n). So, we can rewrite log_a(2.5) as log_a(5/2) = log_a(5) - log_a(2). Now, substitute the values for log_a(5) and log_a(2):log_a(2.5) = 0.76 - 0.33 = 0.43Therefore, the values for the logarithms are: log_a(10)≈1.09, log_a(√2)≈0.165, and log_a(2.5)≈0.43.

Learn more about Logarithms

brainly.com/question/30085872

#SPJ4

13. The front wheels of a toy truck are 9 cm in circumference. The back wheels are 12 cm in circumference. If the truck travels down a long slope, in a straight line and without slipping, how far will the truck have travelled when the front wheels have made 10 more revolutions than the back wheels?

Answers

If the front wheels have made 10 more revolutions than the back wheels, the truck travels 360 cm.

Given that The front and back wheels of a toy truck are 9 cm and 12 cm in circumference respectively.

Let the one revolution of wheel be "R"

So, the Rear wheels revolution = 12R

and the Front = 9(R+10)

Thus, revolution of both wheels should be comparatively equal :-

So, 12R = 9(R+10)

12R = 9R + 90

3R = 90

R= 90/3

R = 30 cm

The value of one revolution would be 30cm.

Distance travelled by truck would be distance travelled by wheels = 12 × 30 = 360 cm

So, the distance travelled by truck would be 360cm.

Visit here to learn more about the circumference: https://brainly.com/question/28757341

#SPJ4

In the rolling of two fair dice calculate the following: P( Sum of the two dice is 8 )= P( Sum of the two dice is 6 )= P( Sum of the two dice is not 4 )= P(Sum of the two dice is 5 or 9 )= P( Sum of the two dice is not 10 and not 7 )= Note: You can earn partial credit on this problem. You have attempted this problem 0 times. You have unlimited attempts remaining.

Answers

(Sum of the two dice is not 10 and not 7) = 1 - P(3, 4) - P(4, 3) - P(5, 2) - P(2, 5)= 1 - (2/36) - (2/36) - (4/36) - (4/36)= 20/36.

In the rolling of two fair dice, the following probabilities are calculated: P(Sum of the two dice is 8) = 5/36P(Sum of the two dice is 6) = 5/36P(Sum of the two dice is not 4) = 33/36P(Sum of the two dice is 5 or 9) = 10/36P(Sum of the two dice is not 10 and not 7) = 20/36

Note: We can earn partial credit on this problem. We have attempted this problem 0 times. We have unlimited attempts remaining.The step-by-step explanation of how these probabilities are calculated is given below:P(Sum of the two dice is 8) = P(2, 6) + P(3, 5) + P(4, 4) + P(5, 3) + P(6, 2)= (1/36) + (2/36) + (1/36) + (2/36) + (1/36)= 5/36P(Sum of the two dice is 6) = P(1, 5) + P(2, 4) + P(3, 3) + P(4, 2) + P(5, 1)= (1/36) + (1/36) + (1/36) + (1/36) + (1/36)= 5/36P(Sum of the two dice is not 4) = 1 - P(1, 3) - P(2, 2) - P(3, 1)= 1 - (1/36) - (1/36) - (1/36)= 33/36P(Sum of the two dice is 5 or 9) = P(1, 4) + P(2, 3) + P(3, 2) + P(4, 1) + P(3, 6) + P(4, 5) + P(5, 4) + P(6, 3)= (1/36) + (2/36) + (2/36) + (1/36) + (2/36) + (1/36) + (1/36) + (2/36)= 10/36P(Sum of the two dice is not 10 and not 7) = 1 - P(3, 4) - P(4, 3) - P(5, 2) - P(2, 5)= 1 - (2/36) - (2/36) - (4/36) - (4/36)= 20/36.

Learn more about Sum

brainly.com/question/13013054

#SPJ4

One edge of a painting is 6 in. longer than the other edge. The painting has a 2-inch-wide frame. The function f(x) = x2 + 14x + 40 represents the total area of the painting and frame. Find the total area of the painting and the frame if the longer side of the frame is 14 inches long.

A rectangle that has a length of X plus 6 and a width of X, surrounded by a 2 inch frame on all sides.

area: _____in.2

Answers

The total area of the painting and frame is 248 inches squared.

What is area?

Area is the size of a two-dimensional surface, typically defined by its length and width. It is an important concept in mathematics and is used to measure different shapes and figures. Area is also commonly used to measure the size of land, such as a city block or a region of a country. Areas can be measured in square meters, square kilometers, hectares, square feet, and many other units. Knowing the area of a shape or space can be helpful when planning a project or understanding how much space something requires.

Using the given equation, f(x) = x2 + 14x + 40, we can solve for the area of the painting and frame.

f(x) = x2 + 14x + 40
f(x) = (x + 6)2 + 2(x + 6)(2) + 2(2)(2)
f(x) = x2 + 12x + 36 + 4x + 24 + 16
f(x) = x2 + 16x + 56

We are told that the longer side of the frame is 14 inches long, so x = 8.

f(8) = 8^2 + 16(8) + 56
f(8) = 64 + 128 + 56
f(8) = 248 in.2

Therefore, the total area of the painting and frame is 248 inches squared.

To know more about area click-
https://brainly.com/question/28012687
#SPJ1

Aaron has 2 pizzas left over from a
He ate of the leftover pizza
sleepover.
for lunch. How much of the pizza did he
eat? How much is left?

Pls help!!

Answers

Answer: 1/8

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a mean of 100. 3 and a standard deviation of 17. 6. Find the probability that a randomly selected adult has an IQ greater than 132. 7. ( Round to four decimals please )


Assume that adults have IQ scores that are normally distributed with a mean of 101. 8 and a standard deviation of 15. 7. Find the first Q1 , which is separating the bottom 25%from the top 75%. ( type an integer or decimal rounded to one decimal place as needed )

Answers

The probability that an arbitrarily chosen adult has an IQ higher than 132.7 is 0.0322, or roughly 3.22%.

Using a standard normal distribution table, we can find the z-score corresponding to an IQ of 132.7:

z = (132.7 - 100.3) / 17.6 = 1.84

The probability of a randomly selected adult having an IQ greater than 132.7 is equal to the area to the right of the z-score of 1.84 on the standard normal distribution curve:

P(Z > 1.84) = 0.0322 (rounded to four decimals)

Therefore, the probability of a randomly selected adult having an IQ greater than 132.7 is 0.0322 or about 3.22%.

The Value of first quartile Q1 is 91.2.

For the second part, we need to find the IQ score that separates the bottom 25% from the top 75%. Using a standard normal distribution table, we can find the z-score corresponding to the 25th percentile:

z = invNorm(0.25) = -0.6745

Now we can solve for the IQ score using the formula:

z = (x - μ) / σ

-0.6745 = (x - 101.8) / 15.7

x - 101.8 = -10.603

x = 91.197

Rounded to one decimal place, the first quartile Q1 is 91.2.

To learn more about standard deviation refer to:

brainly.com/question/23907081

#SPJ4

Line 2: y-2x-2. This system of equations is:
A) consistent dependent
B) consistent independent
C) Inconsistent

Answers

The given system of equations, line 1: y=x+3 and line 2: y-2x-2, is an inconsistent system of linear equations.

What is an inconsistent system of equations?

A system of linear equations is said to be inconsistent if there is no solution. It means that the two lines do not intersect and are parallel to each other.

In the given system of equations, line 1: y=x+3 is in the slope-intercept form y=mx+b where the slope, m=1 and the y-intercept, b=3. The first line, y=x+3 has a slope of 1 and a y-intercept of 3, which means the line passes through (0, 3).

To find a second point, use the slope. Since the slope is 1, go up one and over one. This means the line passes through (1, 4).

Next, line 2: y-2x-2. To do so, we need to rewrite it in slope-intercept form.

y-2x-2 = 0

y=2x+2

The second line has a slope of 2 and a y-intercept of 2, which means the line passes through (0, 2).To find a second point, use the slope. Since the slope is 2, go up two and over one. This means the line passes through (1, 4).

The two lines are parallel to each other and do not intersect. Therefore, there is no solution. The system of equations, line 1: y=x+3 and line 2: y-2x-2, is inconsistent.

Learn more about Linear Equation here: brainly.com/question/29739212

#SPJ11

Construct a tanget to a circle at a given point whose radius is 4 cm

Answers

The construction process for drawing a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measuring its length.

To construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm, follow the steps below:

Draw the two concentric circles with radii of 6 cm and 4 cm, respectively.

Mark a point on the outer circle, which will serve as the point of tangency.

Draw a line from the center of the circle to the point of tangency.

Draw a perpendicular line to the first line, passing through the point of tangency. This line will be the tangent line to the circle.

Measure the length of the tangent line using a ruler.

To verify the measurement of the tangent line, we can use the following formula:

Length of tangent line = sqrt(r^2 - d^2)

where r is the radius of the circle and d is the distance between the center of the circle and the point of tangency.

In this case, r = 4 cm and d = 6 cm - 4 cm = 2 cm.

Therefore, the length of the tangent line is:

sqrt(4^2 - 2^2) = sqrt(12) = 2sqrt(3) cm

Comparing this result with the measured length of the tangent line from the construction, we can see that they match, verifying the measurement.

Complete question:

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation.

To learn more about concentric circles

https://brainly.com/question/30451430

#SPJ4

4. Tshering claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree? Explain your thinking.​

Answers

Tshering's claim is incorrect because the area is not trippled, but it is multiplied by a factor of 9

How to determine if Tshering's claim is correct

Given the the side length is

Side length, s = s

So, the area is

Area = s²

When the side length is trippled, we have

New side length, S = 3s

So, the area is

New area = (3s²)

New area = 9s²

Divide the new area by the initial area

Factor = 9s²/s²

So, we have

Factor = 9

This means that the area is multiplied by 9 and not tripled

Read more about square at

https://brainly.com/question/654982

#SPJ1

I need some help with this​

Answers

Answer:

sin57= 30/x

x= 30/sin57

x= 25.16

Step-by-step explanation:

It takes 8 blocks with a side lengths of one fourths meter to fill a rectangular prism The rectangular prism has a volume of
cubic meter

Answers

It takes 8 blocks with a side length of 1/4 m to fill a rectangular prism with a volume of 1 m3.

The volume of a rectangular prism is calculated by the formula V = l * w * h, where l is the length, w is the width, and h is the height. To calculate the volume of a rectangular prism with 8 blocks (each with a side length of 1/4 m), we need to determine the length, width, and height of the rectangular prism.

Since each block has a side length of 1/4 m, the length, width, and height of the rectangular prism must be a multiple of that. Therefore, the length, width, and height of the rectangular prism must be 4/4 m, 8/4 m, and 8/4 m, respectively.

Substituting this into the formula, the volume of the rectangular prism is (4/4 m) * (8/4 m) * (8/4 m) = 64/64 m3 = 1 m3. Therefore, it takes 8 blocks with a side length of 1/4 m to fill a rectangular prism with a volume of 1 m3.

Learn more about volume of a rectangular prism here:

https://brainly.com/question/21308574

#SPJ4

10. which of the following are equivalent to the ratio (2x-6) : (6x-4) ?

Answers

Step-by-step explanation:

2x-6: 6x-4

Use any value to represent x

Let's use 1

2(1)-6: 6(1)-4

2-6 : 6-4

-4 : 2

Write in simplest form by dividing by 2

-2:1

Now do the same in all the answers above, use 1 for the value of x

1. - 2:1 is equivalent

2. 1-3 : 3(1)-2 = - 2:1 Equivalent

3. 3(1) : 1 = 3 :1 not equivalent

4. 4(1) - 12 : 12(1) - 8 = - 8 : 4 (

Simplify by dividing by 4, you get - 2 :1 equivalent

5. 1-1 : 1 - 2 = 0 : - 1 not equivalent

I need help with my math homework please

Answers

Answer:

C, D and E

Step-by-step explanation:

2(4f+2g)

8f+4g

so it's C, D and E

1. Construct (a) a trapezium WXYZ such that |WX|= 10.2cm, |XY| = 5.6cm, |XZ| = 8.3cm, |YZ| = 5.8cm, LWXY = 60°and WX is parallel to YZ. [6] [2] [2] (b) a perpendicular from Z to meet WX at N (c) Measure |WZ| and |ZN| 2. The cost of producing a wooden frame varies directly as the width of the frame and partly as the square root of its length. When the width is 10cm and the length is 25cm, the cost is N115.00 and when the width is 18cm and the length is 36cm, the cost is N240. Find the (a) Law of variation [5] (b) Cost of a frame of width 12cm and the length 49cm. [5] Cambridge 3. (a) Determine the domain D of the mapping f:x→x² + 1, if R = {2, 5, 10] is the range and f defined on D. Hence find the f-¹(5) [5] (b) If f(x) = 0, find the values of x [5]​

Answers

Answer: Sorry, I cannot provide visual aids or diagrams. However, I can help with the mathematical calculations and solutions to the given problems.

(a) To construct a trapezium WXYZ, follow the steps below:

Draw a straight line segment WX of length 10.2 cm and draw a line segment YZ of length 5.8 cm parallel to WX, such that the distance between them is 8.3 cm.

Draw a line segment XY of length 5.6 cm perpendicular to both WX and YZ, joining their endpoints.

From the endpoint Z, draw a perpendicular line segment ZN to WX.

Angle LWXY is given as 60°, so mark a point L on WX, such that angle WLY is 60°.

Therefore, the trapezium WXYZ is constructed.

(b) From the diagram, we can see that ZN is perpendicular to WX, so triangles ZWX and ZYN are similar.

Using the similar triangles ZWX and ZYN, we can write:

WX/WY = ZN/XY

10.2/5.6 = ZN/5.8

ZN = (10.2/5.6) * 5.8

ZN ≈ 10.57 cm

(c) Using Pythagoras' theorem, we can find the length of WZ:

WZ² = WX² - XZ²

WZ² = 10.2² - 8.3²

WZ ≈ 4.3 cm

Therefore, |WZ| ≈ 4.3 cm and |ZN| ≈ 10.57 cm.

(a) Let the width of the frame be w and the length be l. Then, according to the problem,

cost ∝ w * √l

cost = k * w * √l, where k is the constant of proportionality.

Using the given information, we can find the value of k as follows:

N115 = k * 10 * √25

k = N115 / 50

k = N2.3

Therefore, the law of variation is cost = N2.3 * w * √l.

(b) For a frame of width 12 cm and length 49 cm,

cost = N2.3 * 12 * √49

cost = N2.3 * 12 * 7

cost = N193.2

(a) Since the range R = {2, 5, 10}, we know that f(x) can take only these three values. Therefore,

x² + 1 = 2 or x² + 1 = 5 or x² + 1 = 10

Solving each of these equations for x, we get:

x = ±√1 or x = ±√4 or x = ±√9

x = ±1 or x = ±2 or x = ±3

Therefore, the domain D = {-3, -2, -1, 1, 2, 3}.

To find f-¹(5), we need to find the values of x for which f(x) = 5. From the equation x² + 1 = 5, we get:

x² = 4

x = ±2

Therefore, f-¹(5) = {-2, 2}.

Step-by-step explanation:

car A travelled 315km for 3 hours . if car B uses the same speed as Car A ,calculate how far Car B will travell for 2hrs 30 Minutes​

Answers

In response to the given question, we can state that As a result, at the expressions same pace as automobile A, car B will go 262.5 kilometres in 2 hours and 30 minutes.

what is expression ?

In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions. Every mathematical statement that comprises variables, numbers, and a mathematical action between them is referred to as an expression. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, all separated by the mathematical symbol +.  

We can use the following formula:

distance = time x speed

We know the distance is 315 km and the time is 3 hours for automobile A. As a result, we can compute its speed as follows:

speed = distance / time = 315 kilometres / 3 hours = 105 kilometres per hour

So we know that car B has the same speed as automobile A, which is 105 km/h. Car B takes 2 hours and 30 minutes, which is comparable to 2.5 hours. Hence, we can apply the same procedure to calculate the distance travelled by automobile B:

Distance is speed multiplied by time = 105 km/h multiplied by 2.5 hours = 262.5 kilometres

As a result, at the same pace as automobile A, car B will go 262.5 kilometres in 2 hours and 30 minutes.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

5) Use the fact that 6 i is a zero of \( f(x)=x^{3}-2 x^{2}+36 x-72 \) to find the remaining zeros. 10 points

Answers

Given, 6i is a zero of f(x) = x³ - 2x² + 36x - 72To find the remaining zeros of f(x) we can use the division method as follows:

Step-by-step explanation: Since 6i is a zero of the polynomial, we know that its conjugate -6i is also a zero. Hence (x-6i) and (x+6i) are factors of the polynomial f(x).

So we can write f(x) as f(x) = (x-6i)(x+6i)(ax + b)where ax + b is the third factor. Let's divide x³ - 2x² + 36x - 72 by (x-6i)(x+6i) using long division:x³ - 2x² + 36x - 72  |  (x-6i)(x+6i)  ____________  x² + 6xi + 6xi + 36   |   x³ - 6xi² - 2x² + 12x² + 36x - 216   ____________   x³ - 2x² + 48x - 216We can write f(x) as f(x) = (x-6i)(x+6i)(x² + 6x - 12)

The remaining zeros of f(x) are the zeros of the quadratic factor (x² + 6x - 12). Using the quadratic formula, we can solve for the zeros: x = [-b ± sqrt(b² - 4ac)]/2a

For the quadratic equation, a = 1, b = 6 and c = -12. Substituting these values in the quadratic formula: x = [-6 ± sqrt(6² - 4(1)(-12))]/2(1)x = [-6 ± sqrt(60)]/2x = -3 ± sqrt(15). Therefore, the zeros of f(x) are 6i, -6i, -3 + sqrt(15) and -3 - sqrt(15).

For further information on Quadratic equations, refer below:

https://brainly.com/question/30098550

#SPJ11

Other Questions
Which fact do both passages mention? A. The Times Square timeball is not considered a true timeball. B. People at work looked up at the timeball to check time. C. Timeballs eventually ended up being replaced by the radio. D. The Times Square ball is the only timeball still working in the United States. Find the values of the variables and the measures of the indicated angles. 5. Every human action affects the environment.A. What are four impacts caused by the current growth rate of humans? (8 points)B. How do each of these impacts affect the environment? (12 points) Based on darwins ideas of descent with modification and natural selection, which observation would best support the idea that increased competition causes changes in a species? compare and contrast workshop technology and workshop practice Let \( \alpha \) and \( \beta \) be first quadrant angles with \( \cos (\alpha)=\frac{\sqrt{5}}{10} \) and \( \sin (\beta)=\frac{\sqrt{10}}{10} \). Find \( \cos (\alpha+\beta) \). Calculate the reacting mass of Propone. (CH) when it is completely burnt in CH + O CO + HO 1. ALUMMUNI PLC. Produces three models of tractors: Metakeb, Mewesson, Metekem Each unit of Metakeb, Mewesson and Metekem requires the following amounts of time in minumtes in each of the indicated departments.Machining dep'tInspection dep't(in minutes)(in minutes)(in minutes)Metakeb12002400600Mewesson180012003000Metekem3000Assembly dep't24001200Suppose the total time available per month in machining, assembly and inspection departments are 1050, 1160 and 830 hours respectively.Required:Determine the number of units of each product to be produced in a month to use up all the available resources (use Gaussaian method) Nora made 3 gallons of lemonade. Which of the following can be used to find the number of pints of lemonade that Nora made?Choices:3x2x33x4x23x3x23x4x3 the correlation between the fund returns is 0.11. a. solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. b. what is the sharpe ratio of the best feasible cal? Draw the ER diagram of student information system of the following entities: Student,Exam, Record f(x) = -[tex]f(x) = - \sqrt{x-6+5[/tex]please find the domain and range for this equation along with the graph Determine the equation of the parabola that opens to the right, has vertex (-9,-4),and a focal diameter of 16. Enter an equation that represents the data in the table.x 3 5 8 10y 24 40 64 80An equation is y =please only right answers What are some examples and How do those examples support Stevenson's claim that everyone deserves mercy? And is Stevenson appealing to emotion, logic, or credibility? FILL IN THE BLANK. Monique and her team have identified a problem, defined it, and developed a variety of options. The next step is to _____ each option for its practicality since some options will be discarded because of a lack of resources, legal restrictions, ethical considerations, or other constraints. Are rhymes, harmony and figures of speech important in creating poetry? 1>>La tienda ____a las cinco y media. (cerrar)2>>Tengo calor ____pantalones cortos. (Llevar)3>>El abrigo ____ cuarenta dlares. (Costar)4>>Cada da yo ___ de compras.(ir) Jack collects the lengths of some animals and records the data below.57 55 59 60 45 47 50 45 48 50 42Put the data in a frequency table.Length (cm)40 y 4545 y 5050 y 5555 y 60 Find X y-3+8x*=4X7-5x