Find the scale factor of Figure A to Figure B. A 36 25.2 B 14 20

Answers

Answer 1

The scale factor of Figure A to Figure B is; 5/9

How to find the Scale Factor?

The scale factor of the figure A to the Figure B, will be given by the ratio of the side of the figure A to the given corresponding side of the Figure B.

Now, we see that the corresponding longest sides of the Figures A and B are given as 36 and 20 respectively

The corresponding shortest sides of the Figures A and B are given as 25.2 and 14 respectively

Therefore, we can conclude that the scale factor of the Figure A to the Figure B = 20/36 = 14/25.2 = 5/9

Finally, in order to get the dimension of Figure 'B' we multiply the dimension of Figure 'A' by 5/9

The  scale factor of Figure A to Figure B = 5/9

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Find The Scale Factor Of Figure A To Figure B. A 36 25.2 B 14 20

Related Questions

complete the table based on the pattern you see

Answers

The figures to complete the table, based on the pattern, would be 6. 20, 7.00.

How to complete the table ?

To complete the table, you need to find the common difference between the values in B which is :

= 4. 6 - 3. 8                                         = 5. 4 - 4. 6

= 0. 80                                                   = 0. 80

The next two values would therefore be :

= 5. 4 + 0. 80                                        = 6. 20 + 0. 80

= 6. 20                                                  = 7. 00

The complete table then is :

A -  5,    6,   7,      8,       9

B- 3.8, 4.6, 5.4, 6. 20, 7. 00

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The full question is:

Complete the table based on the pattern you see:

A- 5, 6, 7, 8, 9

B- 3.8, 4.6, 5.4, ____, ____,

if n square- 1 over m is equal to 4
Express n in terms of m
find n when m is 12​

Answers

Answer:

n=√(4m+1) , 7

Step-by-step explanation:

According to statement

 ( n²-1 )÷m=4

∴n²-1=4m

⇒n²=4m+1

⇒n=√(4m+1)… … … … 1

If m=12

put the value of m in 1 equation

n=√(4×12+1)

  =√49=7

Help please !!
The volume of a fixed amount of a gas varies directly as the temperature 7 and inversely as the pressure P. Suppose that I'-70 cm³ when 7-420 kelvin
kg
kg
and P-18-
Find the temperature when
is 60 cm and P-7
X

Answers

Answer:

First question:

We can start by setting up the formula that relates the volume V, temperature T, and pressure P:

V = k * (T/P)

where k is a constant of proportionality. We can solve for k by plugging in the given values for V, T, and P:

70 = k * (420/18)

Simplifying the right side of the equation, we get:

70 = k * 23.3333

Dividing both sides by 23.3333, we get:

k = 3

Now we can use this value of k to find the temperature T when V is 60 cm and P is 7:

60 = 3 * (T/7)

Simplifying the equation, we get:

T/7 = 20

Multiplying both sides by 7, we get:

T = 140

Therefore, the temperature when V is 60 cm and P is 7 is 140 kelvin.

Second question: We can start by using the formula that relates the time (T), distance (D), and speed (S):

D = S * T

Since the distance between the two cities is constant, we can set the distances for the two cars to be equal:

35 * 9 = 21 * T

Simplifying the right side of the equation, we get:

315 = 21T

Dividing both sides by 21, we get:

T = 15

Therefore, the trip takes 15 hours for a car moving at 21 mph.

Hopefully this helps you! I'm sorry if it wrong. If you need more help, ask me! :]

Suppose the demand and supply of tea are modeled by the two following functions:

Q = 34P + 53

Q = -25P + 177

What is the equilibrium price of tea? Round your answer to two places after the decimal point (0.01).

Answers

Answering the question, we may state that So the equilibrium price of equation tea is $2.10 per unit.

What is equation?

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.  

To find the equilibrium price of tea, we need to set the quantity demanded equal to the quantity supplied:

[tex]34P + 53 = -25P + 177\\59P + 53 = 177\\59P = 124\\P = 2.10[/tex]

So the equilibrium price of tea is $2.10 per unit.

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2074 Set B Q.No. 17 The compound interest on a certain sum at a certain rate is Rs. 204 in 2 years and simple interest at the same rate is Rs. 300 in 3 years. Find the sum and the rate of interest.​

Answers

Answer:

Answer equals 2500 according to the question

a) Copy and complete the table below for the graph of y = 2x.
21=33 9 1 2
1-4-2 A
b) The lines y = x and y = 2x are shown on the axis below.
Write down one similarity and one difference between these lines.
f y-20 У=2
5-
4-
3-
1-
654-32-18 1 23 45 6*
1-2
--3・
-4・
-5
-6-

Answers

a) Here is the completed table for y = 2x:

x y
0 0
1 2
2 4
3 6
4 8
5 10
b) One similarity between the lines y = x and y = 2x is that they both pass through the origin (0,0). This means that when x = 0, y = 0 for both lines.

One difference between the lines is their steepness or slope. The slope of y = x is 1, which means that for every 1 unit increase in x, there is a 1 unit increase in y. The slope of y = 2x is 2, which means that for every 1 unit increase in x, there is a 2 unit increase in y. This means that the line y = 2x is steeper than the line y = x.

A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.

42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches

Answers

The height of the cylinder is approximately 42/11 inches. The answer is option C.

What is the formula for the volume of the cylinder?

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:

1 and one-third = 4/3

V = π(1/3)²h = 4/3

Simplifying the equation, we get:

h = (4/3) / (π(1/3)²) = (4/3) / (π/9) = (4/3) * (9/π) = 12/π

Approximating π as 22/7, we get:

h ≈ (12/π) ≈ (12/(22/7)) = 42/11 inches

Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.

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thier sum is -7 thier diffrence is 14


HELP

Answers

Using algebraic expressions, x = 7/2 and y = -21/2.

An algebraic expression might be made up of a single word or a group of words.

An algebraic expression can be any number, variable, or set of operations, whereas an equation is two different algebraic expressions connected together with an equal sign.

x = 7/2 and y = -21/2

Let x and y be those numbers.

In response to your query

x + y = -7

x - y =14

both equations added

2x = 7

or x = 7/2

the equivalent x value in either equation

y = -21/2

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Complete question -

What are the two numbers if their sum is −7 and their difference is 14?

In how many ways can the letters A, B, C, D, E, F, G, H be arranged?

Answers

Answer:

40,320

Step-by-step explanation:

There are 8 letters in total:

So, in the first place we can put all 8 letters

In the 2nd place we can put 7 (all except the letter in the first place and so on...)

Let's multiply the options (the order is important):

8! or 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320 (8 places for letters in total)

I need help with this please

Answers

Answer:

First statement is true.

Second statement is false--there are some 3d shapes that unit cubes cannot be used to find the volume of. Examples are cylinders and cones.

Find the area of this composite shape. 10 cm, 5 cm, 8 cm, and 4 cm.

Answers

Answer: 59cm^2

Explanation:

We can split up the shape into a rectangle and a triangle.

Let’s find the area of both

Area of rectangle: 10 * 5 = 50cm^2

Area of triangle:
First we have to find the measures of the triangle.

To find the leg of the triangle we can simply do 10 - 4 which would give us 6.

To find the other leg, we can do 8 - 5 which is 3.

Now that we have all the sides let’s find the area.

3 * 6 * 1/2 = 9cm^2

So to find the area of the whole shape we now gotta add it up.

9 + 50 = 59cm^2

So the area of the composite shape is 59cm^2

Draw a dialation with center at the Irgun of the triangle with the vertices (2,0) ,(4-4), (6,2) scale factor of k =1.5

Answers

The sides of the dilated triangle are parallel to the sides of the original triangle, but their lengths are multiplied by the scale factor k.

What is triangle?

A triangle is a closed two-dimensional figure with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many different areas of mathematics, science, and everyday life. A triangle is defined by its three vertices (or corners), which are the points where the sides of the triangle intersect. The three sides of the triangle are the line segments connecting the vertices. The three angles of the triangle are the angles formed by the intersection of two sides.

Here,

To dilate a triangle with a center at the origin, we need to multiply the coordinates of each vertex by the scale factor k. However, in this case, the center of dilation is not at the origin, but at the point Irgun. To perform the dilation, we can follow these steps:

Plot the original triangle with vertices (2,0), (4,-4), and (6,2).

Draw a line segment from the center of dilation Irgun to each vertex of the triangle.

Measure the distance from Irgun to each vertex, and multiply it by the scale factor k = 1.5 to find the new distance.

Use the new distances to construct the dilated triangle by drawing line segments from Irgun to points that are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

The resulting dilation of the triangle with center at Irgun and scale factor k = 1.5 is shown below:

In this image, the original triangle is shown in black, and the dilated triangle is shown in blue. The center of dilation Irgun is marked with a red dot. Note that the new vertices of the dilated triangle are (0.5,0), (3,-6), and (7.5,3), which are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16

What is Linear equation ?

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a variable raised to the first power, also called a linear term.

A linear equation can be written in the form of:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope or gradient of the line, and b is the y-intercept (the point where the line crosses the y-axis).

The equations that are true for x = -2 and x = 2 are:

[tex]x^{2}[/tex] - 4 = 0, which is true for x = -2 but not for x = 2

4[tex]x^{2}[/tex] = 16, which is true for x = 2 but not for x = -2

Therefore, the correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16

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Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation f(x)=(x-3)(5x+2) feet. What is the area of Philip and Laura’s pool? You must show your work and include your units.

Answers

Answer:

      5x^2 - 19x + 15

Step-by-step explanation:

We must multiply the pool's length and width to determine its area. We can factor the equation f(x)=(x-3)(5x+2) to determine the length and width:

f(x) = (x-3)(5x+2)

f(x) = 5x^2 - 13x - 6

One of the parameters is the pool's length (x-3), while the other is its breadth (5x+2). We multiply these two elements to determine the area:

Area is length times width (x-3)

(5x+2)

By extending this statement using FOIL (First, Outer, Inner, Last), we may make it simpler:

Area is equal to  5x^2 - 13x - 6x + 15

Area: 5x^2 - 19x + 15

The pool at Philip and Laura's home is therefore  5x^2 - 19x + 15 square feet in size. We are unable to establish the precise square footage of the pool because we were not given a specific figure for x.

Quadrilateral ABCD is shown.
-5
A
3
N
6
2
5-
3-
2-
1-
10
-1-
-24
-3-
-4-
-5-
A
B
(a) Work out the coordinates of C when ABCD is
Rotated 900 clockwise about 0
then
translated by
1 2
3
D
с
4
5
[2 marks]

Answers

Answer:

  C'(-5, -2)

Step-by-step explanation:

You want the coordinates of point C(4, 1) after rotation 90° CW about the origin and translation by (-6, 2).

Rotation

The transformation accomplished by rotation 90° clockwise is ...

  (x, y) ⇒ (y, -x)

Translation

The translation by (-6, 2) adds those values to the coordinates:

  (x, y) ⇒ (x -6, y +2)

Both transformations

Combined, the transformations give you ...

  (x, y) ⇒ (y -6, -x +2)

  C(4, 1) ⇒ C'(1 -6, -4 +2) = C'(-5, -2)

The coordinates of C after the transformation(s) are (-5, -2).

When $0.58 tax was added to the price of a book, the total bill came to $7.05. What was the price of the book?
Step 1 of 2: Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity

Answers

Answer:

Let's use "x" to represent the price of the book before tax.

After the tax is added, the total price becomes:

x + 0.58

We know that the total bill came to $7.05, so we can set up an equation:

x + 0.58 = 7.05

This equation represents the situation described.

Step-by-step explanation:

Answer:

I believe the answer would be $6.47

Step-by-step explanation:

Factorise 3-6x I don’t know how to do it

Answers

Answer:

Step-by-step explanation:

-3(2x-1)

Answer is 3 ( 1 -2x )

Step by step

3 - 6x is your expression

You want to factor out any number or variable that can be divided into any number or variable in the term

3 is divisible by 3 and 6 is divisible by 3 so 3 goes outside the parentheses

x is NOT divisible in 3 although it is in 6x
It has to work with every part of the term so x cannot be factored out

3 ( )

Now divide the two parts of your term by 3 and put your answer in the parentheses

3/3 - 6x/3

3 ( 1 - 2x )

You can check your work by distribution

3 ( 1 - 2x )

3 - 6x
This was your original expression! Problem solved


Solve g−17≥17 . Graph the solution.

Answers

The inequality expression g - 17 ≥ 17 when solved has a solution of g ≥ 34

How to solve the given inequality

Given the inequality expression

g - 17 ≥ 17

To solve the inequality g - 17 ≥ 17, we need to isolate the variable g on one side of the inequality.

We can do this by adding 17 to both sides of the inequality:

g - 17 + 17 ≥ 17 + 17

Simplifying, we get:

g ≥ 34

So the solution to the inequality is all values of g that are greater than or equal to 34.

We can graph this solution on a number line by placing a closed circle at 34 and shading to the right, to indicate that any value greater than or equal to 34 satisfies the inequality.

The graph looks like this the attached figure

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Roberto bought a $340,000 house, paying 20% down, and financing the rest at 5% interest for 30 years. Her
monthly payments are $1460.15. How much will he really pay for her $340,000 house?
Roberto will pay a total of $
for the house.

Answers

Answer:

Therefore, Roberto will pay a total of $593,654 for his $340,000 house, including $253,654 in interest over the 30-year period.

Step-by-step explanation:

Roberto paid 20% down on a $340,000 house, which is 0.20 x $340,000 = $68,000.

So, the amount he financed is $340,000 - $68,000 = $272,000.

Roberto financed the $272,000 at 5% interest for 30 years, making monthly payments of $1460.15.

To find the total amount he will pay for the house, we need to calculate the total amount he will pay over the 30-year period.

First, we can calculate the total number of payments he will make over the 30 years by multiplying the number of years by the number of payments per year:

30 years x 12 months/year = 360 payments

The total amount Roberto will pay is the sum of all the monthly payments he makes over the 30 years:

Total amount = 360 x $1460.15 = $525,654

However, this includes both the principal amount of $272,000 and the interest he will pay over the 30 years. To find out how much he will pay in interest, we can subtract the principal from the total amount:

Total interest = $525,654 - $272,000 = $253,654

Therefore, Roberto will pay a total of $593,654 for his $340,000 house, including $253,654 in interest over the 30-year period.

if you borrow $2,500 when you open up account the loan was for 2 years and the amount of the loan interest was $155 what were you charge when you open up the account for the loan​

Answers

Answer:

the charge for opening up the account was $155.

Step-by-step explanation:

To find the charge for opening up the account, we need to subtract the interest from the total amount borrowed.

The total amount repaid at the end of the loan period is the sum of the amount borrowed and the interest charged. In this case, the total amount repaid is:

$2,500 + $155 = $2,655

The interest charged on the loan is the difference between the total amount repaid and the amount borrowed. Therefore, the amount charged for opening up the account is:

$2,655 - $2,500 = $155

So the charge for opening up the account was $155.

A local bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20.
a. What percentage of its customers has daily balances of more than $275?
b. What percentage of its customers has daily balances less than $243?
c. What percentage of its customers' balances is between $241 and $301.60?

Answers

Answer:

Step-by-step explanation:

Need a z-score with all of these, which essentially makes the table needed a standard normal table with mean 0 and sd 1

z=(x-mean)/sd

a. (275-280)/20=-0.25

want the probability of z <-0.25, and that is 0.4013 or 40.13%

b.(243-280)/20=-1.85, and probability of z < -1.85 is 0.0322 or 3.22%

c. this is z of -39/20 or -1.95 and z of 21.60/20 or 1.08. This has a probability of 0.8343 or 83.43%

Use 2nd VARS 2 for normal cdf and put in the numbers, with at least -6 or +6 for minus or plus infinity. 1E99 is fine but isn't really necessary.

Four identical cubes are joined to make a new shape.

What is the new shape’s surface area?

Answers

The surface area of the shape which was formed when four identical cubes were joined, is 882 yd ².

How to find the surface area ?

The surface area of a cube can be found by the formula :

= Number of faces x Length of a side ²

When four identical cubes were joined, this leads to the creation of 18 faces which means that the surface area of the cube would then be :

= 18 x 7 x 7

= 18 x 49

= 882 yd ²

In conclusion, the area is 882 yd ².

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what is a bisection ​

Answers

Answer:

this is the intersecting of lines

Answer:

gogel chrome. will answer faster than this app

The ratio of men to women at the picnic is 4:5,if there are 819 people, how many men are there in the picnic​

Answers

Answer:

819/5 is the correct answer that I think

A loan of $12,000 with interest at 14% compounded annually is to be amortized by equal payments at the end of each year for six years. What will the balance outstanding be after second year?

Answers

To calculate the balance outstanding after the second year of equal payments, we can use the formula for the future value of an annuity:

FV = PMT x [(1 + r)^n - 1] / r

Where:
FV = future value of the annuity
PMT = the equal payment amount
r = the interest rate per period (in this case, the annual interest rate divided by the number of payment periods per year)
n = the total number of payment periods

In this case, we have:
PMT = the equal payment amount
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 6 years
We need to first calculate the PMT using the formula for the present value of an annuity:

PMT = PV x [r / (1 - (1 + r)^(-n))]

Where:
PV = present value of the annuity

To find PV, we can use the formula for the present value of a lump sum:

PV = FV / (1 + r)^n

Where:
FV = the total loan amount
r = 14% per year
n = 6 years

Plugging in the values, we get:

PV = $12,000 / (1 + 0.14)^6
PV = $5,070.33

Now we can calculate PMT using the present value:

PMT = $5,070.33 x [0.14 / (1 - (1 + 0.14)^(-6))]
PMT = $2,360.63

Therefore, the equal payment amount is $2,360.63 per year.

To calculate the balance outstanding after the second year of payments, we can use the formula for the future value of an annuity with two years of payments:

FV = PMT x [(1 + r)^n - 1] / r

Where:
FV = the future value of the annuity after two years of payments
PMT = $2,360.63
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 2 years

Plugging in the values, we get:

FV = $2,360.63 x [(1 + 0.14)^2 - 1] / 0.14
FV = $4,950.53

Therefore, the balance outstanding after the second year of payments is $4,950.53.

Find exact values for the following:

Answers

Answer:

-sqrt(2)
-sqrt(2)
1
1

Step-by-step explanation:

Please Help

20 Points
Show you're work please..

Answers

Answer:

(a) 512 ft² , (b) 720 ft²

Step-by-step explanation:

the area of a rectangle is calculated as

area = length × width

(a)

area of pool = 32 × 16 = 512 ft²

(b)

the area of the deck is calculated as

area of outer rectangle - area of pool

area of outer rectangle = 44 × 28 = 1232 ft²

area of deck = 1232 - 512 = 720 ft²

conaider a regular 96-sided polygon exlain how to found your anser in orlder to get full credit

Answers

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

How to create a regular polygon with 96 sides?

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

360° / 96 = 3.75

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

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Helppp ! , Use substitution to solve each system of equation and must show checks !!!

Answers

5x - 2x = 9

Collect terms

3x = 9

Divide by 3

X= 3


____________________


Plug 3 for x


Y= 2•3

Y= 6

——————————————

Check:


{ 6 = 2•3
{ 5•3-6 = 9


{ 6 = 6
{ 9 = 9


Solution:


( X, Y ) = ( 3, 6 )

If sin 0 = -2/3which of the following are possible?

Answers

Is sin (θ) = - 2/ 3, the options that are possible include:

A) sec(θ) = -3/2 and tan(θ) = 2/√5C) cos(θ) = -(√5)/3 and tan(θ) = 2/√5

How to find the possible expressions?

Since sec(θ) is negative, cos(θ) is also negative (sec(θ) = 1/cos(θ)). This means θ is in the second or third quadrant, but since sin(θ) is negative, θ must be in the third quadrant. Now let's check if the given tan(θ) value is correct:

tan(θ) = sin(θ)/cos(θ)

Since we already know that cos(θ) is negative, we have cos(θ) = -(√5)/3.

Now calculate tan(θ):

tan(θ) = (-2/3) / (-(√5)/3) = 2/√5

The given values in option A are correct.

cos(θ) = -(√5)/3 and tan(θ) = 2/√5

These are the same as in option A. So, this option is also possible.

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Identify the region on the temporal bone that forms much of the zygomatic arch FILL IN THE BLANK. Kyrin is the information technology director for the police department in Newburgh, Indiana. She is responsible for purchasing and maintaining all technology-related equipment and services for the department including computers, printers, body cameras, in-car video devices, servers, and networking equipment. She often buys from CDW, a technology-related firm, and appreciates the opportunity to work with dedicated account executives who are experienced in assisting _______ accounts like the police department. 4. A certain radioactive material is known to decay at a rate proportional to the amount present. A block of this material originally having a mass of Qograms is observed, after 24hrs, to have experienced a reduction in mass of 10%. Find an expression for the mass of the block at any time. I need help with this demon! Need help asap!Solve the following system of equations and show all work. y = x2 + 4 y = 2x + 1 25 Cards are drawn from a standard deck of 52 cards, what is theprobability of getting 2 kings? someone please help :,)) (picture attached) click question to see photo What is the relationship between expertise and persuasion? Expertise has no effect on persuasion.Nonexperts tend to be the most persuasive.Greater expertise leads to greater persuasion.Communicators with moderate expertise are the most persuasive.Communicators with approximately the same expertise as the audience are the mostpersuasive. Whats the correct answer answer asap for brainlist Two radar stations have been positioned 6 miles apart at points A and B. Point D is located exactly 3 miles from point A. A plane is flying overhead at point C such that the radar stations and the plane are all equidistant. What should be the vertical distance from the plane to point D? Round the answer to the nearest tenth of a mile. miles a six sided cube with the letters s,o,l,v,e,d is rolled twice. what is the probability of rolling two consonants? express as a fraction in simplest form. Which of the following could be the measure of the angle below?On a coordinate plane, a horizontal straight line is on the x-axis from negative 4 to positive 4.180120140510 Describe the economic climate of the 1920s. What part did credit play? Evaluate the function f(x) = 4x-6 at the given values of the independent variable and simplify You participate in a 5K competitive race. Which Z-score would you prefer to have compared to your competitors for the time it took you to complete the race? An article suggests the uniform distribution on the interval (6.5, 21) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. (a) What are the mean and variance of depth? (Round your variance to two decimal places.) mean variance (b) What is the cdf of depth? F(x) = {0 x < 6.5 6.5 lessthanorequalto x < 21 1 21 lessthanorequalto x (c) What is the probability that observed depth is at most 10? (Round your answer to four decimal places.) What is the probability that observed depth is between 10 and 15? (Round your answer to four decimal places.) (d) What is the probability that the observed depth is within 1 standard deviation of the mean value? (Round your answer to four decimal places.) What is the probability that the observed depth is within 2 standard deviations of the mean value? A container with a height of 7.7 inches with an open top has a 5.6 inch diameter and is open to the atmosphere. The container is filled with water. The bottom of the container has a 0.87 inch diameter hole. Calculate gh at the top of the container if the datum is set at the bottom of the container. What is the equation of the line that passes through the point (-3, 4) and has aslope of 2/3? If the y intercept is 4, the x coordinate is 4 and the y coordinate is 12, what is the gradient is sodium carbonate aqueous