Use the Pythagorean Theory and the following information to determine the length of the third side of a right triangle which has a hypotenuse of 30 and leg “a” equal 18

Answers

Answer 1
the third side is 24

18^2 =324

30^2 = 900

missing side is b

324 + b = 900

900 - 324 = 576

Square root 576 the answer is 24

Related Questions

Subtract the equation
-7 - 12 =

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

0.16
As a repeating fraction

Answers

Answer:

0.16161616161616161616161616161616161616161616161616

Step-by-step explanation:

just keep adding whats repeating or put a bar on top of the 16

find x (x+y) 30 24 2x​

Answers

Answer:

vfvgyfygj

Step-by-step explanation:

gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah

Yousef typed a 36-word paragraph in 23 minute. What is his typing speed, in words per minute?

Answers

Answer:

1.5652173913 words per minute.

Step-by-step explanation:

When you divide 36 words/ 23 minutes, you get 1.5652173913.

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

What are the slopes of the perpendicular lines?

1: y=-5/2x-8
2: y=5x
3: y=3x-8

Answers

Answer:

1. 2/5

2. -1/5

3. -1/3

Step-by-step explanation:

the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign

-5/2  --->    2/5

+5/1  --->    -1/5

+3/1  --->    -1/3

Answer:
1. 2/5
2. -1/5
3. -1/3

Explanation:
There are two key concepts that we have to understand in order to answer this question:

1) The given equations are organized in slope-intercept form: y=mx+b. Here’s what the variables mean:

Y= the y coordinate
M=the slope
X= the coordinate
B= the y intercept

From the given equations we can now identify the slopes as -5/2, 5 and 3.

2) Perpendicular lines have slopes that are NEGATIVE RECIPROCALS of each other.

Example: Line A has the slope 8. A line that is perpendicular to line A would have a slope of -1/8.

Example #2: Line B has the slope -2/3. A line that is perpendicular to line B would have a slope of 3/2 (two negatives make a positive).

Now that we understand these two concepts, we need to look at the slopes of the given lines and determine their negative reciprocals to find the slopes of their perpendicular lines.

1. y=-5/2x-8
We can see that -5/2 is in the place of “m” in y=mx+b. The negative reciprocal of -5/2 is 2/5, so therefore, the slope of the line perpendicular to y=-5/2x-8 is 2/5.

2. y=5x
There is no “b” value in this equation, but we can still identify 5 as “m”. The negative reciprocal of 5 is -1/5, so therefore, the slope of the line perpendicular to y=5c is -1/5.

3. y=3x-8
The negative reciprocal of 3 is -1/3, so therefore, the slope of the line perpendicular to line y=3x-8 is -1/3.

I hope this helps! Please comment if you have any questions.

Solve the following step by step

Answers

Answer:

12

by-step explanation:

Multiply both sides by 3. 9x + 21 = 2x + 13
Take away 2x from both sides to get 7x + 21 = 13
Take away 21 from both sides to get 7x = 8
Now divide both sides by 7.
X must be 1 1/7

Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?

Answers

Answer:

Step-by-step explanation:

4+2=5

-2323

asdasd

She has 31.5 inches remaining.

Which measurement statement is correct?

Answers

Answer:

What do you need help with?

If the quarter note equals one beat, how many beats would this note be worth?

Answers

Answer:

4 beats

Step-by-step explanation:

that is a whole note and 4 quarters are equal to one whole

What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?


A. y = −43 − 20
A. , y = −43 − 20

B. y = 43 − 12
B. , y = 43 − 12

C. y = −0.75 − 13
C. , y = −0.75 − 13

D. y = 0.75x +5
D. , y = 0.75x +5

Answers

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

[tex]x = -12[/tex], and[tex]y = -4[/tex].

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Last week, Tanya had $43 in her checking
account. She deposited $50 and wrote a check
for $92. How much money is left in her account?

Answers

Answer:

She would have $1 left in her account.

Step-by-step explanation:

43 + 50 = 93

93 - 92 = 1

Hope this helps..?

Answer:

$1

Step-by-step explanation:

We start off with $43.

Tanya deposits $50 to her account.

50+43=93.

She has $93 now.

She writes a check for $92.

93-92=1.

Man, Tanya is broke no cap.

A submarine started at a depth of 150 below sea level and descended 355 feet what is the new depth of the submarine?

A. 370 ft
B. 205 ft
C. 0 ft
D. 505 ft


Plz answer ASAP got test

Answers

Its 205 I did a test

The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

Rosita is making pizzas for a party. Each pizza requires 1 cups of sauce and 1 cups
of cheese. How many whole pizzas can Rosita make if she only has 8 cups of sauce
and 132 cups of cheese?

Answers

Answer:

8 pizzas

Step-by-step explanation:

I cAn Do mAtH!!

Answer:

She can only make 8 pizzas.

Step-by-step explanation:

She only needs 1 cup of sauce and 1 cup of cheese. She has 8 cups of sauce, so she can only make 8 pizzas. What can she do with all the cheese in her refrigerator? Hmmmmm...

If we double the sum of the numbers x and -21, we get the number -100. What is x?​

Answers

Step-by-step explanation:

2{x + (-21) }= –100

= 2x – 42 = –100

= 2x= –100 + 42

= 2x= –58

= x = –58/2

x= –29

Given g(x) = –2x – 1, find g(1).

Answers

Answer:

-3

Step-by-step explanation:

g(1)=-2-1

g(1)=-3

Brainliest appreciated!

How do you do these questions and explanations please?

Answers

Step-by-step explanation:

1. Standard error is SE = σ / √n.  As n increases, SE decreases.

2. Degrees of freedom is d = n − 1.  As n increases, d increases.

3. The t statistic is t = (x − μ) / SE.  As SE decreases, t increases.

4. As n increases, t* decreases and approaches z*.

5. As the t statistic increases, the P-value decreases.

6. Margin of error is t* times SE.  As n increases, MoE decreases.

7. The width of the confidence interval is 2 MoE.  As MoE decreases, the width of the confidence interval decreases.

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Answers

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

-5 is a rational number and an integer yes or no

Answers

Answer:

Yes

Step-by-step explanation:

Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers

Which 2 subjects are 2 unit apart

Answers

Answer:

I believe that your answer is C and Moon.

Find the length of the side x in simplest radical form with a rational denominator.

Answers

Answer:

2.449489743

Step-by-step explanation:

Which of the pairs of events below is mutually exclusive?

Select the correct answer below:



drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards


drawing a 2 and drawing a 4 with replacement from a standard deck of cards



drawing a heart and then drawing a spade without replacement from a standard deck of cards


drawing a jack and then drawing a 7 without replacement from a standard deck of cards

Answers

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

PLEASE HELP!!! i’ll give brainliest

Answers

Answer:

x = [tex]\sqrt{164[/tex]

Step-by-step explanation:

In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].

Graph the line y=-1/3x+3

Answers

nah i’m is not brown in the most popular vote white vote in the senate vote white vote vote white voters vote white vote vote white voters vote vote white ballots in a vote vote white vote vote white voters

Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin

Answers

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest

Answers

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

An airplane is flying overhead at a constant elevation of 4090 ft. A person is viewing the plane from a position 3010 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 700 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower

Answers

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

If 12 roses cost 30.4 how much will 18 roses cost?

Answers

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Megan deposits 4300 into an account that pays simple interest when she withdraws her money 6 months later she receives $4,536.50 what rate of interest did the account pay round to the nearest whole percent ​

Answers

Answer:

4500

Step-by-step explanation:

because if you round 4,536.50 you will get 4500 since 36 is before 50+

Answer:4500

Step-by-step explanation:

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