In a circle, a 225° sector has area 250pi in^2. What is the radius of the circle?

Answers

Answer 1

Answer:

r = 200

Step-by-step explanation:

[tex]Area of sector = (\frac{225}{360})[/tex]×πr² = [tex](\frac{5}{8})[/tex] ×πr²

[tex](\frac{5}{8})[/tex] ×πr² = 250π

[tex](\frac{5}{8})[/tex] ×r²   = 250

       r²   = [tex](\frac{8}{5})[/tex] × 250

       r²   = 400

       r    = 200 (r is a length so, it's positive)


Related Questions

Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.

Answers

Answer:

A: 45 5/16

B: The present of the area as 83%

Step-by-step explanation:

(a)

35= 3+3+3.2x+3.2x+3.2x+3.2x

35= 6 + 12.8

29/12.8 +12.8x/12.8

X=2.265625 = 2/12/64

1x = 2 17/64 * 4 + 9 1/16

P = 45 5/16

(b)

The present of the area as 83%

35 – the bases or 6 = 29

29/35 + 0.82857142857

0.82857142857 * 100 = 82.8571428571

Rounded to the nearest whole number is 83%

can y’all please helpppp , i’ll give brainliest

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0

In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x

that is :

[tex]\qquad \sf  \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]

Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7ft to 1in. The dimensions of the deck are 28ft by 17.5ft. What are the dimensions of the deck in the drawing? show your work.

Answers

Answer:

4 inches by 2.5 inches

Step-by-step explanation:

The scale factor is 7 feet/1 inch.

This can be written as  7'/1" or as 1"/7'

28 feet converts to (28')*(1"/7') = 4"

17.5 feet converts to (17.5)*(1"/7') = 2.5"

The drawing dimensions are 4 inches by 2.5 inches.

Answer:

Step-by-step explanation:

p-p-p-q-q-q =?
its urgent

Answers

Hey there!

Let's combine like terms:

p-p-p-q-q-q

p-p-p=-p

-p-p-q-q-q

-p-3q

Remember,  like terms are from the same "family"

So p's are from the p family, and q's are from the q family.

Hope everything is clear.

Let me know if you have any questions.

#LearningDoesn'tEnd


What is the area and perimeter for this ?

Answers

area : 282.8 perimeter : 68.4 if not then i might have done sum wrong

Answer:

Step-by-step explanation:

The area of a parralelogram is B*H

Base is 20.2

Hight is 12

20.2*12=242.4

Perimeter is the sum of all sides

20.2*2+12*2=64.4

Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.

Answers

The probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]

Hence the probability that the number selected is the square of a natural number will be  [tex]\frac{1}{5}[/tex].

To learn more about the probability link is given below.

https://brainly.com/question/795909

Answer:

Option D is the correct answer

Step-by-step explanation:

D. [tex]\frac{1}{5}[/tex]

PLEASE HURRY NEEDED ASAP

Answers

Answer:

1: Is a function

2: Isnt a function

3: Is a function

4: Isnt a function

Reminder: Functions CAN"T have the same x values but different y values!!!!

Have a great day!!

Please rate and mark brainliest!!

Answer:

Sorry, all I know is the first one is a function.

Step-by-step explanation:

It's linear, and passing the vertical line test because it only has a point on each part of the x-axis, if you were to graph it.

How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.

Answers

Answer:

1 min- 60 secs

2 mins- 120 secs

3 mins- 180 secs

Step-by-step explanation:

If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.

1x60=60

2x60=120

3x60=180

Are my answers correct?

Answers

Answer:

Yes they are both correct.

Step-by-step explanation:

yes they are both correct.

What is the value of the expression shown?
3
(1)

Answers

(1/3)³ = 1³ / 3³ = 1/27

1/27

kgfgkjhgbkjyhgbjtg

ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help

Answers

Answer:

I think it might be 30pi m or 94.2 m.

Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do  C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.

please solve this
with each step​

Answers

Step-by-step explanation:

please mark me as brainlest

Find the surface area

Answers

Answer:

B.

Step-by-step explanation:

6x3=18

18x4=72

3x3=9

9x2=18

72=18=90

PLEASE HELP ASAP 30 POINTS!!!!!!!!!

Answers

Answer:

$11.25

Step-by-step explanation:

multiply 15 by 25% which is .25

15 * 0.25 = 3.75

minus 3.75 from 15

15 - 3.75 = 11.25

Arnav is also selling boxes of cookies he sells each box for 3.75 his goal to make more than 30 how many boxes of cookies could he sell to reach his goal

Answers

30/3.75=8 but he wants to make more than 30 so he should sell 9

A computer valued at $6500 depreciates at a rate of 14
.3% per year. Determine the value of the computer
after 5 years.

Answers

Answer:

A depreciation of 14.3% leaves you with 85.7%, right? Each year's value is 85.7% of the tear before.

So, 6500(0.857)3 = $4091.25

Question
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Round to the nearest ten dollars if necessary.

Answers

The cost to cover the cirular region with mud is about $2940

How to calculate area?

The circumference of the circular region is about 157 feet. Hence:

circumference = 2π * radius

157 = 2π * radius

Radius = 78.5 / π

The area is given as:

Area = π * radius² = π(78.5 / π)² = 1961.5 ft²

Cost = $1.5 * 1961.5 = $2940

The cost to cover the cirular region with mud is about $2940

Find out more on area at: https://brainly.com/question/25292087

Mar 31, 2:56:59 PM
Ryan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.75 hours and charged him $192 for parts.
The total was $398.25. Which equation could be used to represent
the context if x represents the cost of labor per hour?

Answers

3.75x+192=398.25 is how much the technician earns

Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi

Answers

Answer:

314

Step-by-step explanation:

This is because the area is r^2*3.14

last year there were c pies baked for the bake sale this year there were 229 pies baked using c write an expression for the total number of pies baked in the two years

Answers

Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue

Answers

Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:

20 - 45

n - 2000

Applying cross multiplication:

45n = 20 x 2000

n = (20 x 2000)/45

n = 889.

889 students would be expected to prefer painting over scultuprue.

More can be learned about proportions at https://brainly.com/question/24372153

AYUDA ES PARA HOY ayudaaaaaaaaaa

Answers

La respuesta seria -4

Answer:

The answer is 12

Step-by-step explanation:

What is the period of the cosecant function graphed below?
A) pi/2
B) pi
C) 3pi/2
D) 2pi

Answers

Step-by-step explanation: The cosecant function is graphed in the given figure. we are to find the period of the function.
The period of a function is the distance travelled by the curve of the function in one complete revolution.
We can see that in the given figure, the distance between two consecutive points is given by

Therefore, the period of the cosecant function is
Thus, the correct option is (B) \pi.

Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now?

Answers

The new value of the stock after the percentage decrease and increase is  $3666.60.

What is the new value of the stock?

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

To learn more about percentages, please check: https://brainly.com/question/25764815

What strategies can I use to help me understand and represent real situations involving linear relationships?

Answers

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:

Find the height of a triangular pyramid with a volume of 13 m and a base area of 7 m

Answers

Answer:

h = 0.79591836734694 m

Step-by-step explanation:

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ? ​

Answers

Answer:

13

Step-by-step explanation:

The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.

The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?

Answers

Your missing the diagram. Thus, I will try my best to help

Answer/Step-by-step explanation:

Given;

The diagram below shows how much time Antoine spends doing different activities each day.

How many hours does Antoine sleep in a day?

Solve;

To find how many hours does Antoine sleep in a day;

24 hour × percent of hour sleep = Hours sleep in a day

The sleeping hours = 24h × % = Hour

If you still do not understand please shown the diagram!

~Learn with Lenvy~

The price of gas increased from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

The percent increase would be about 55%

A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?

Answers

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

This is a pythagorean theory question

If this is a right triangle (meaning one of the angles in the triangle is 90 degrees) then the lengths of the sides should make the formula true.

a^2 + b^2 = c^2 (c being the longest side or hypotenuse)

so plug in the lengths and prove or disprove the statement.

(63)^2 + (64)^2 = (85)^2

3969 + 4096 = 7225

8065 = 7225 false

The answer is NO it is not a right triangle.

I hope this helps and is the BRAINLIEST!

Good luck with your studies!
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