what is the ratio of the area of circle C to circle E, as shown below .

a) 16/3
b) 16/9
c) 8/6
d) 4/3

What Is The Ratio Of The Area Of Circle C To Circle E, As Shown Below . A) 16/3b) 16/9 C) 8/6d) 4/3

Answers

Answer 1

Answer: 16/9

Step-by-step explanation:

Area of circle = pi * r^2

Circle C = 16pi

Circle E = 9pi

Ratio of C to E = C/E

16pi/9pi = 16/9

Answer 2

The ratio of the area of circle C to circle E is 16/9.

Hence, option B is the right choice.

How is the area of a circle determined?

The area of a circle is the product of π, a constant, and the square of its radius (r). The radius of the circle is any line connecting the center of the circle to any point on its circumference (boundary).

Therefore, the area of a circle = πr².

How to solve the question?

In the question, we are asked to determine the ratio of the area of circle C to circle E, from the given diagram.

In the diagram, for circle C,

The center is at the point (-3, 1).

For radius, we choose the point (1, 1) on the circumference.

Therefore, radius = √((1 - (-3))² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(4)² = √16 = 4.

Therefore, area = πr² = π4² = 16π.

In the diagram, for circle E,

The center is at the point (4, 9).

For radius, we choose the point (1, 9) on the circumference.

Therefore, radius = √((1 - 4)² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(-3)² = √9 = 3.

Therefore, area = πr² = π3² = 9π.

Therefore, the ratio of the area of circle C to circle E = 16π/9π = 16/9.

Hence, option B is the right choice.

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Related Questions

Calculate the area of triangle WXY with altitude YZ, given W(2, −1), X(6, 3), Y(7, 0), and Z(5, 2). (6 points) 8 square units 9.4 square units 7.7 square units 12 square units

Answers

The area of triangle WXY with altitude YZ is: 8 square units.

Area of a Triangle

Area = 1/2(base × height)

Altitude = height.

Given:

Base = WX = distance between W(2, −1) and X(6, 3):

Using distance formula, [tex]WX = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]:

[tex]WX = \sqrt{(3 - (-1))^2 + (6 - 2)^2}\\\\\mathbf{WX = 5.7 $ units}[/tex]

Altitude/height = YZ = distance between Y(7, 0), and Z(5, 2):

[tex]YZ = \sqrt{(0 - 2)^2 + (7 - 5)^2}\\\\\mathbf{YZ = 2.8 $ units}[/tex]

Area of triangle WXY = 1/2(WX × YZ)

Area of triangle WXY = 1/2(5.7 × 2.8) = 7.98

Area = 8 square units.

Learn more about area of triangle on:

https://brainly.com/question/9030437

Answer:8

Step-by-step explanation: test

A map has a scale of 1: 1250000. On a map, The cave of truth is 1.9cm away from the waterfall of dreams. How far away are they in real life?

Answers

Answer:

2,375,000

Step-by-step explanation:

From the question,

A map has a scale of 1: 1250000.

We are told that:

On a map, The cave of truth is 1.9cm away from the waterfall of dreams.

How far away are they in real life?

This is calculated as:

1 = 1250000

1.9 = x

Cross Multiply

x = 1.9 × 1250000

x = 2,375,000

Therefore, there distance in real life = 2,375,000

Jill's weight is 92 kg 250 g. Jill's sister's weight is 8 kg 600 g less than Jill's weight. How much does the sister weigh?

Answers

Answer:

S = 83 g and 650 kg.

Step-by-step explanation:

Gram (g)= 1000 kilograms (kg).

Jill (J)= 92000 + 250 kg.

J = 92250 kg

Sister (S) = J - (8000 + 600 kg)

S = 92250 - 8600 kg

S = 83650 kg.

S = 83 g and 650 kg.

A printer can print 12 pages in 9 seconds. what is the closest estimate of the number of pages it can print in one minute?

a.100
b.45
c.120
d.72​

Answers

Answer:

D.72

Step-by-step explanation:

[tex](-3x^2y)^{4}[/tex]


PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER

Answers

Answer:

errr polynomials ahaha

so basically we can multiply the power outside of the parantheses with the exponents on the inside:

so

[tex]-3x^{2*4} y^{1*4}[/tex]

this will give us:

-3x^8y^4

we also unfortunately, have to use the power on the coefficient -3 as well  and we cant just MULTIPLY -3 by 4, we are going to have to multiply -3 with -3 4 TIMES(anytime we see a coefficient we MUST multiply the coefficient by itself according to the number outside of the parantheses)

so:

-3*-3*-3*-3=81

final expression

[tex]81x^{8}y^{4}[/tex]

When you have an power outside of a bracket, you have to multiply all the powers inside by the one outside...

So you would get x^2 x ^4 which is x^8

And y x ^4 which would be y^4

Therefore the answer will be -3x^8y^4

Hope this helps! Any questions let me know :)

use the distributive property to simplify (b+13-m) (5)

Answers

Answer:

5b-5m+65

Step-by-step explanation:

HELP PLEEEAAASSSE ILL GIVE BRAINLYEST

Answers

Answer:

2

Step-by-step explanation:

Answer:

2x + 19.

Step-by-step explanation:

The reasoning behind this is that one must find the disparity between the first and second expressions - 9x+14 and 7x-5.  To do this, one subtracts 7x-5 from 9x+14.  Set this up as though it were a normal subtraction problem - 9x+14 over 7x-5 with the little subtraction symbol to the left.  When subtracting the negative five from fourteen, one adds the five to the fourteen due to the fact that the five was already negative and as such the negatives cancel out.  The 7x is simply subtracted from the 9x, resulting in 2x.  This leads to 2x + 19.

(What number makes the equation true? Enter the answer )4=20 divided by

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We can divide 20 by 4 to find the other number that 20 is divisible by. 20 divided by 4 is 5. So, 20 divided by 5 is 4.

In which branch of statistics would a researcher acquire twenty-five 2000 Toyota Celicas, drive them until they had a major mechanical failure, record the final mileage, and then write a report for Car and Driver?

Answers

Answer:

The answer is "descriptive statistics".

Step-by-step explanation:

Descriptive statistics are short descriptive factors that add up a production set, that can be either a reflection of a whole or a sample population. It is broken down into cumulative frequency measurements and variance measurements. The study uses descriptive statistics to explain the profile of the respondents. People give simple summaries about the sample as well as the actions.

HELP PLEASE
what is the length of BC

Answers

Answer: b

Step-by-step explanation:

The graph of g(x) = (x + 2)2 is a translation of the
graph of f(x)
V
by
units.
[It’s left by 2 units l! No ads :)]

Answers

Answer is 763 units thanks

A. 6
B. ⟌50
C. ⟌34
D. 4

Which one?

Answers

Answer:

C

Step-by-step explanation:

3^2 + 5^2 = x^2

9 + 25 = x^2

x^2 = 34

x = sqrt(34)

so the answer is C

95 km = ___ cm

show work please I want to learn how its done

Answers

9500000 centimetres because each cm is 100000

HELP PLZZZzZZZZZZZ ASAP !!

Answers

Answer:

1 8/25

Step-by-step explanation:

1 32/100 = 1 8/25

(−2x^2−8x+3)+(−9x^2+x+3)

Answers

Answer:

7x^2 - 7x + 6

Step-by-step explanation:

Rearrange equation so its easier

-2x^2 + 9x^2 - 8x + x +3 + 3

Then simplify

7x^2 - 7x + 6

George is going on holiday to Poland George changes £120 into Zloty. The exchange rate is £1 = 5 Zloty Work out how many Zloty George gets for £120.Required to answer. Single line text.

help please​

Answers

Answer:

George gets 600 Zloty in return of £120

is this function linear or nonlinear?​

Answers

Answer:

the answer is linear

Step-by-step explanation:

Linear is a line while non linear is not.

answer is linear !!!!!!

Select the correct answer.
The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t=√2d/a
Which equation expresses d in terms of t and a?

A. d=2at^2
B. d=√2t/a
C. d=at^2/2
D. √a/2t

Answers

Answer:

(A)

Step-by-step explanation:

Option A. d=2at^2

720

Plato.

t=√2d/a

12=√2d/10

12²=(√2d/10)²

144=2d/10

2d=(144)(10)

d=1440/2

=720

Can an object accelerate if it's moving with constant speed?

Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.

Learn more about the constant speed at

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Find two numbers whose product is -2, and whose sum is -1.​

Answers

Answer:

[tex]x=-2 \ \ \ and \ \ \ y=1[/tex]

Step-by-step explanation:

Suppose numbers are x and y

Product of x and y is -2

[tex]xy=-2[/tex]

And sum of x and y is -1

[tex]x+y=-1[/tex]

[tex]x=-2 \ \ \ and \ \ \ y=1[/tex]

Identify the slope: 7x + 3y = -21

Answers

Answer:

7/3

Step-by-step explanation:

7/3

Evaluate the expression.​

Answers

Answer:

150

Step-by-step explanation:

z=5

x=9

y=3

plug the numbers into a calculator

(9-3)=6

5^2=25

25*6=150

Step-by-step explanation: To handle these evaluation problems, you must be able to deal with positives and negatives, and you must know your order of operations. In addition, it's a good idea to get into the habit of using parenthses when substituting numbers in for variables.

Notice that we have a set of parenthses in our problem and remember that we use parenthses when substituting our numbers into the problem.

To avoid the confusion of having too many sets of parenthses,

let's change the parenthses in the original problem to brackets.

Now let's substitute using parenthses.

So we have (5)² · [(9) - (3)].

Since the parenthses were in the original problem were replaced

by brackets and parenthses come first in your order of operations,

in our problem the brackets are going to come first.

So first simplify 9 - 3 which is 6.

So we have (5)² [(6)].

Exponents come next so we square the 5 to get 25

and that gives us (25) [(6)] which is 150.

A bag contains 2 white balls 4 green balls. 2 balls are drawn from the bag without replacement. use a tree diagram to find the probability that the balls are white colors

Answers

Answer: 1 in 3rd chance

Step-by-step explanation:

The are 6 balls and 4 are green and the other 2 are white so if you but it in fraction form it would be 2 over 6 with simply to 1 over 3

3=e/2 what is e then?

Answers

Answer:

e=6

3=6/2

Step-by-step explanation:

              May I have brainiest I'm trying to level up!

                      </3 PureBeauty

Find the value of x.

Answers

Answer:

The value of x is 120°

Step-by-step explanation:

We should draw a line parallel to the given parallel lines and passes through the vertex of the measure x and divides it into two angles of measures x1 and x2, look at the attached figure

In the given figure

∵ The dashed line is parallel to the given line up

∴ The angle of the measure 70° and the angle x1 are alternate angles

∵ The alternate angles are equal in measures

x1 = 70°

∵ The dashed line is parallel to the given line down

∴ The angle of the measure 50° and the angle x2 are alternate angles

∵ The alternate angles are equal in measures

x2 = 50°

x = x1 + x2

∴ x = 70 + 50

∴ x = 120°

The value of x is 120°

Answer:

x= 120

Step-by-step explanation:

Alternated angles  are 50 and 70

Angles of a triangle sum 180

y+x (linear pair)

How many 5/16's are in 1 1/17? help pls

Answers

Answer:

2 and 1

Step-by-step explanation:

5 could only go in 16 2 Times and 11 could only go in 17 1 time

Solve its easy first one to answer get brainiest

Answers

Answer:

$1.53

Step-by-step explanation:

Answer:

1.53

Step-by-step explanation:

Which is an equation for the line that contains (-2, 5) and has a slope of -7 ?

Answers

Hii..

Let (-2 , 5) be (x1 , y1) Slope (m) = -7Using this : (y - y1) = m(x - x1) , find the equation of line..

Have a nice time..!

Answer:

One equation could be y = -7x

Step-by-step explanation:

It could simply be y = 7x because -7 is the slope.

Help on both questions plz

Answers

Answer:

1. 109.5 .   2.  3.75

Step-by-step explanation:

1. 30% of 365 = 109.5

365-109.5 = $255.5

2. 15% of 25 = 3.75

can someone please explain to me how to calculate this?
specifically how the residual of 115 changes the expected fare from 427.50 to 542.50
I don't understand how I am suppose to incorporate the residual into the problem.

Answers

Answer: you have to add 427.50+115 and that would give you your answer of 542.50

Step-by-step explanation:

The difference between the solutions of the equation 5x^2 -x-k=0 is 1.8. Find the solutions.

Answers

Answer:

0,8

Step-by-step explanation:

Answer:

x=4; x1=1; x2=-0.8

Step-by-step explanation:

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