Q. A circular pie has an area of 706.5 cm? What is the radius of the pie?
answer choices

A. 225 cm
B. 30 cm
C. 15 cm
D. 112.5 cm

Answers

Answer 1

Answer:

C. 15 cm

Step-by-step explanation:

The formula to find the area of a circle is: π × r²

But since we need to solve for the radius, we use the formula:

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

r = radius

A = area

π = 3.14

Now we substitute the information given in the text into the equation

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

Substitute values into the equation

[tex]r = \sqrt{ \dfrac{ 706.5 }{ 3.14 } \phantom{\tiny{!}}}[/tex]

Divide 706.5 by 3.14

[tex]r = \sqrt{ 225 }[/tex]

Take the square root of 225

[tex]r = {15 }[/tex]

So, the radius of the pie is 15 cm


Related Questions

What is the area of triangle ABC?

Answers

Answer:

Step-by-step explanation:

What is the angle of rotation for point G mapped to point H?

90° clockwise
72° clockwise
72° counterclockwise
90° counterclockwise

Answers

The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

How to determine the rotation rule?

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

Read more about rotation at:

https://brainly.com/question/4289712

Answer:

72° clockwise

Step-by-step explanation:

The area of a square is (9a2 − 24a + 16) square units. determine the length of each side of the square by factoring the area expression completely. show your work.

Answers

The will be 3x+4 I hope this help you

9 markers cost $7. 50. How much would 7 markers cost

Answers

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

Find the value of each variable. 22, 30, x.
x=
y=
(Simplify your answers. Type exact answers, using radicals as needed. ​
please hurry for fifty points!

Answers

Answer:

11 and 11 root 3

This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.

Answer:

x = 11, y = 19.05

Step-by-step explanation:

sin 30 = x/22
22*sin 30 = x

22*0.5 = x
11 = x

tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05

Hope this helps :)

Please help I'm extremely confused.

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )​

Answers

Answer:

8.4 is the correct answer on acellus

Hello people ~
factorise↷
x^2 + 4x –21​

Answers

Let's see

[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]

[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]

[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]

[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]

if 192 students are in 4 buses how many students are in each bus?

Answers

Answer:

48

Step-by-step explanation:

192/4=48

Hope this helps!!!

Answer:

48 students

Step-by-step explanation:

Given that:

192 student are in 4 buses

To Find:

How many students are in each bus

Solution:
To find how many students are in each bus we have to divide. 192 by 4.

192 ÷ 4  which given us 48.

Therefore, there are 48 students in each bus.

~lenvy~

Find the surface area of the prism shown below.

Answers

The answer is 2 to the surface area of the prism

thankyou for all the help

Answers

Answer:

1. x + y = 180

2. x = 50 y= 130

Step-by-step explanation:

They're parallel.

We can label the unamed angle z.

So z = y

and 50 = x

There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.

x=50

so 50 + 50 = 100.

360 - 100 = 260

so 260 ÷ 2 = 130

y = 130 because y and z are equal so they're the same number

Step-by-step explanation:

1. x+y=180

hope that helps

What is X?
(x+22) 2x
(Need help)

Answers

Answer:

nasa pic yung sagot

hope its help

The photo is shown below, please help!

Answers

Answer/Explanation:

The formula for a rectangular prism is Length x Width x Height

With this information we can multiply 6x8x2 and get 96 ft³.

This is the volume of the original prism.

Doubling the dimensions means multiplying each side by 2.

The new dimensions would be a.16 b.4 c.12

Use the formula to find volume. 12x16x4=768

The volume of the enlarged prism is 768 feet³

For bonus question, divide 768 by 96.

The scale factor is 8.

Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?

Answers

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

What is the pattern;
1=4
2=4
3=64
4= ?

Answers

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

solve pls brainliest

Answers

Answers:
1. No
2. No
3. No
4. Yes
5. Yes

Answer:

No, no, no, yes, yes.

Step-by-step explanation:

A integer is a whole number, 1, 2, 3, etc.

can someone please help me

Answers

40 dollars is the setup so it happens only once. It is a fixed cost.
10 dollars is for each shirt so it is a variable cost. Happens for every shirt.

Y is total cost:

Y= 40 + 10x

For one shirt:
Y=40+10(1)
Y=50

For five shirts:
Y=40+10(5)
Y= 90

For ten shirts:
Y=40+10(10)
Y=140

For fifty shirts:
Y=40+10(50)
Y= 540



A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS

Answers

Earnings last year=xMore earnings percentage=25%

More earnings:-

25% of x0.25x

Total earnings this year

x+0.25x(1+0.25)x$1.25x

Answer:

[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]

Step-by-step explanation:

Given:

Last year: $x

Determining the money earned for this year:

This year = 25%   more than       last year

               = $25x/100   +                    $x

               = $x/4           +                 $4x/4

The expression that represents the money earned this year is $x/4 + $4x/4.

PLS HELP ME FRENDS I NEED HELP HELP THIS IS MY LAST CHANCE What is the area of the real object that the scale drawing models? ​

Answers

Answer:

D. 16 square cm

Step-by-step explanation:

To solve this problem, we will have to look at the Scale factor.

1 : 8 =  1 cm (in the scale drawing) = 8cm (in the real object)

Since the area of the scale drawing is 2 cm, the equation will be 2 x 8 = 16.

Therefore, 16 will be the area of the real object.

-kiniwih426

32+4 X (16 X ) -2 show your work

Answers

Answer:

32+4x(16x)-12=

32+64x-12=

64x-12+32=64x+20

64×÷64÷=20÷64=

x=0.3125

The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$

Answers

Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.

Which other point must lie on the graph?

If a function has a line of symmetry at x = x₀, then we know that:

f(x₀ + x) = f(x₀ - x).

So we have symmetry around that line.

Then, if the line of symmetry is at x = 5 and we know that:

f(8) = f(5 + 3) = -7

We also must have:

f(2) = f(5 - 3) = -7

Then the point (2, - 7) must be on the graph.

If you want to learn more about symmetry you can read:

https://brainly.com/question/11408596

A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. the number of bikes rented per day can be modeled by the linear function n(p)=300−10p. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.

Answers

Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.

In this problem, the number of bikes rented per day is given by:

n(p) = 300 - 10p.

Hence, the revenue function is given by:

R(n) = p x n(p)

R(n) = 300p - 10p².

Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:

[tex]x_v = -\frac{300}{-20} = 15[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

WHOEVER RESPONDS FIRST WILL GET MARKED BEST.
A circle has a diameter of 14.5 inches. Using 3.14 for 1, what is the circumference of the circles, rounded to the nearest hundredth of an inch?
22.77 inches
45.53 inches
91.06 inches 165.05 inches

Answers

[tex]c = 2 \pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 14.5[/tex]

[tex]c = 91.06[/tex]

Answer:

2nd option - 45.53 inches

Step-by-step explanation:

Circumference of a circle when given the diameter is given by the formula :

[tex]\pi d[/tex]

Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:

3.14 × 14.5 in  =

45.53 inches

Therefore our answer is 43.53 inches (the 2nd option)

The mayor of a city believes a large park in the city is becoming more popular and wants to expand nature programs at the park. A random sample of 30 summer days are selected and the number of park visitors is determined for each of those days. From this sample, the mean number of visitors was X(xbar) = 98.3 with a standard deviation of Sx = 11.2. Calculate a 99% confidence interval for the true mean number of visitors on summer days. Assume the conditions for inference are met.
a. 95.192 to 101.410 visitors
b. 34.123 to 162.480 visitors
c. 92.664 to 103.940 visitors
d. None of these is correct.

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 99% confidence interval for the true mean number of visitors on summer days is given by:

c. 92.664 to 103.940 visitors

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 30 - 1 = 29 df, is t = 2.756.

The other parameters are given as follows:

[tex]\overline{x} = 98.3, s = 11.2, n = 30[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 98.3 - 2.756\frac{11.2}{\sqrt{30}} = 92.664[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 98.3 + 2.756\frac{11.2}{\sqrt{30}} = 103.94[/tex]

Hence option c is correct.

More can be learned about the t-distribution at https://brainly.com/question/16162795

pls help!! 15 points!

A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m2. The surface area of the image is 315 m². The height of the pre-image is 5.8 m. What is the height of the image? Enter your answer as a decimal in the box m​

Answers

When trapezoidal prism undergoes a dilation, the size of the prism changes

The height of the image is 52.2 meters

How to determine the height of the image?

The given parameters are:

A1 = 35 m²

A2 = 315 m²

H1 = 5.8 m

To calculate the height of the image, we make use of the following equivalent ratio

A1 : H1 = A2 : H2

So, we have:

35 : 5.8 = 315 : H

Express as fractions

35/5.8 = 315/H

Make H the subject

H = 315 * 5.8/35

Evaluate the product

H = 52.2

Hence, the height of the image is 52.2 meters

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

17.4

Step-by-step explanation:

learn.flvs.net/educator/student/examform.cgi?eprice34 annсait*sit=bNTabyUk8FP9A*4870*0017
Lessons
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$ Tools -
Question 4(Multiple Choice Worth 1 points)
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Simplify 972-317 + V8 - 28
011/2-5/7
0 1184 – 5/14
065
be
C 6/9
Question 5 Multiple Choice Worth 1 points)
(03.01 LC

Answers

Answer:

The choice A.

Step-by-step explanation:

[tex]9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} [/tex]

The simplified value of in radical form is 11√2 - 5√7.

What is Radical?

In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.

We have 9√2 - 3√7 + √8 - √28

First, solve the radical as possible

√8= 2√2

and, √28= 2√7

So, 9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2- 2√7

= 9√2 + 2√2- 3√7- 2√7

= 11√2 - 5√7

Learn more about Radical here:

https://brainly.com/question/1369233

#SPJ7

If it is now two o'clock, how many hours later will be the first hour between the arrows of the clock is 90 degrees

Answers

Answer: 4 o clock

Step-by-step explanation:

Answer:

5 o' clock

Step-by-step explanation:

The angle between the hands of a clock on an hourly basis is 30°

thus for the hands to be 90° apart would be 3 hours

then 2 o' clock + 3 hours = 5 o' clock

(PLS Need Help ASAP) Don't answer if you don't know pls.

Answers

Answer:

y = - x + - 2

Step-by-step explanation:

Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph).  The slope, m, is the rise over the run from point A to point B.  The rise is -5 and the run is 5.  [tex]\frac{-5}{5}[/tex] = -1.  The y-intercept, b, is the point the graph passes through the y-axis.  The b is -2 so y = -x+-2.

Answer:
y=-x+-2

Step-by-step explanation:
Slope Intercept Form= Y=mX+b
with b as the slope and b as the y-intercept
also the graph has a negative slope

the slope is -x
the y-intercept is -2

Donna bought 5 bags of dog treats for 12.55. What is the cost per bag

Answers

Answer:

$2.51

Step-by-step explanation:

12.55/5= 2.51

a bag of dog treats is 2.51 per bag

Do number 17 please.

Answers

Answer:

667.2

Step-by-step explanation:

aP/2 apothem is 13.9, perimeter is 16(6)= 96

multiply apothem and perimeter then divide by 2.

Use the multiplier method to increase £56 by 14% you must show your working out

Answers

Answer:

Step-by-step explanation:

First, we have to find 14% of 56

14% of 56 is = 56 x 14/100

                  = 7.84

Now we have to increase the number 56 by 14%, which means we have to add 14% of 56 (7.84) to the given number (56)  

56 + (14% of 56)

= 56 + 7.84

= £63.84

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