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

Math homework pls help!!!

Answers

Answer:

17.8

Step-by-step explanation:

The power ands the square root cancel out.

Find the value of d that makes line m ll n

Answers

Answer:

x = 45.

Step-by-step explanation:

The angle between the shorter line and line n is 90 degrees, so

2x must be 90 degrees for m and n to be parallel.

x = 45.

John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?

Answers

Answer:

20

Step-by-step explanation:

100/5=20

michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue

Answers

Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.

What is a proportion?

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

In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:

[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.

x hours - 1 way

Applying cross multiplication:

[tex]\frac{2}{3}x = \frac{7}{4}[/tex]

[tex]2x = \frac{21}{4}[/tex]

[tex]x = \frac{21}{8}[/tex]

x = 2.625.

It will take Michael 2.625 hours to drive to his mother's house.

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

Thomas lives more than 0. 55 km and less than 0. 75 km from his school.

Thomas lives from his school?

A. 0. 06 km

B 0. 50 km

c. 0. 60 km

D. 1. 30 km

Which choice could be the distance Thomas lives from school?

Answers

Answer:

D. answer po

Step-by-step explanation:

Tama yan na D

Name any two timber plans found in the Terai region of Nepal? Where is Red panda found? Why is it called an endangered bird?​

Answers

Step-by-step explanation:

red Panda is found in langtang national park and makalu-barun national park in Nepal .

timber planks for in the religion of Nepal sal, sissoo& Khair.

I'm injured birds are any bird fishing that is at risk of extinction because of a sudden rapid increase in population or a loss of its critical habitat .

Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?

Answers

Answer:

$64.89

Step-by-step explanation:

57.68 + 1.25 × 57.68

= 57.68 + 72.1

= 129.78

The original price was $129.78.

129.78 – 0.50 × 129.78

= 129.78 – 64.89

= 64.89

The discount price was $64.89.

Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?

Answers

Answer:

  6 games

Step-by-step explanation:

The number of games can be found by determining the number of groups of 10 Maria can make.

 62/10 = 6.2

Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.

Find the value of cos⁻¹ (cos7π/6).

Answers

Answer:

5π/6

Step-by-step explanation:

Given :

cos⁻¹ (cos7π/6)

Solving :

We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!

Answer:

5π Over 6

Step-by-step explanation:

You can write  7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6

Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 11)° = cos(–3x + 79)°

Answers

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

4x — 3 = 6х - 7
i need it now

Answers

Answer:

x = 2

Step-by-step explanation

4x - 3 = 6x - 7

     +7          +7      Adding seven so we can isolate on the Xs

4x + 4 = 6x

-4x         -4x             Once again, trying to isolate the X

4 = 2x

/2x                 Divide by 2

2 = x

I need actual help on this.

Answers

Answer:

the average rate of change is D. -4

It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?

Answers

Answer:

750 gallons per hour

Step-by-step explanation:

divide 18000 by 24 and you get 750

A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line

Answers

Ima say B a segment

Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?

Please help ASAP!!

Answers

Answer:C, 9 sheets

Step-by-step explanation:

Answer: It's true, it's 9.

Step-by-step explanation:

Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?

Answers

The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.

How to explain the square?

From the diagram, each side is called the side length. Therefore,

Side length of square 4 = a + bSide length of square 5 = a + b

If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.

Learn more about square on:

https://brainly.com/question/25092270

A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.

Answers

If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have  $35,517,190.20.

How much would the fund have after 16 years?

The formula that can be used to determine the value of the fund after 16 years is:

Initial value of the fund x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

(1.13^16 - 1) / 0.13 = 46.671735

46.671735 x $761,000.00 = $35,517,190.20

To learn more about how to calculate future value, please check: https://brainly.com/question/24108530

A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.

Answers

The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 2 units, 5 units, and 5.39 units.

The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be

[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]

Then the area of the circle will be

[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]

The area of the circle is 12 square units.

More about the circle link is given below.

https://brainly.com/question/11833983

If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!

Answers

Answer:

3. 3(x+y)(x-y)

4. (y²+4)(y+2)(y-2)

5. 2(3x+1)(x+2)

Step-by-Step:

3. 3(x²-y²) = 3(x+y)(x-y)

4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)

5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)

PLEASE RATE!!! I hope this helps!!!

If you have any question comment below

(I have verified my answers on an online calculator)

A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.

1. Write an equation to represent the area of the pool and deck combined.

2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?

Answers

Answer:

1)   area = (x + 3)(2x + 3) ft²

2)   299 ft²

Step-by-step explanation:

Question 1

Area of a rectangle = width x length

Given:

width = x + 3length = 2x + 3

⇒ area = (x + 3)(2x + 3) ft²

Question 2

If x = 10:

⇒ area = (10 + 3)(2(10) + 3)

            = 13 · 23

            = 299 ft²

#1

New dimensions=x+3 and 2x+3ft

So

Area:-

Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2

#2

Put x=10

2(10)^2+9(10)+92(100)+90+9200+99299ft^2

How much is 75% of 10 liter of milk?

Answers

Answer:

7.5 liters of milk

Step-by-step explanation:

Multiply 10 by 0.75

Hope that helps!

Figure ABCDEF is a regular polygon. What is the measure of cdq?

Answers

Answer: 60

Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .

What is x in this equation -3x+7 = 1

Answers

the answer is x=2 because you have to subtract 7 on both sides so you get -3x=-6 then to get x alone you have to divide by -3 because a negative and a negative divided together makes a positive so you divide -3 to both sides and you get x=2

Complete the table.
Milkshakes Cost

Answers

Answer:

3 milkshakes will cost 0.75 cents

4 milkshakes will cost $1.00

Step-by-step explanation:

3 x 0.25 = 0.75

4 x 0.25 = 1.00

Have an amazing day!!

Please rate and mark brainliest!!

classify these polynomials based on the degree and number terms 3x^2

Answers

Answer:

3x² is "monomial" according to the number of term(s) and "Quadratic" based on degree

What value completes this expression?

4m + ____m = 4m (1 + 6)

Answers

Answer:

24

Step-by-step explanation:

4(1)m + 4(6)m

= 4m + 24m

Option a to buy a house has a monthly cost of 618 dollars, up-front cost of 24,000 dollars, and advantages of a home equity and a yard for a pet. option b to rent close to work has a monthly cost of 950 dollars, up-front cost of 1,900, and advantages of convenient location, garage, and pool. option c to rent further out has a monthly cost of 600 dollars, up-front cost of 1,200, and advantages of 2 bedrooms, light-rail, and pool. which housing choice fits within your recommended monthly budget of $650-780? which option requires you to have at least $24,000 saved?

Answers

Option c is the best option that can be recommended since it has the least total cost for a year.

What is the up-front cost?

An upfront cost is an initial sum of money owed in a purchase or business venture.

Option a:

Monthly cost = $618

Up-front cost = $24000

Total cost for a year= 618*12+24000 = $31416

Option b:

Monthly cost = $950

Up-front cost = $1900

Total cost for a year= 950*12+1900= $13300

Option c:

Monthly cost = $600

Up-front cost = $1200

Total cost for a year= 600*12+1200= $8400

Therefore, option c is the best option that can be recommended since it has the least total cost for a year.

To get more about upfront costs visit:

https://brainly.com/question/1803016

Answer:

1st question is A and C only, 2nd question is A only

Step-by-step explanation:

Got it right on edge. Have a great day :)

8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5

Answers

Answer:

A 0.5 = 0.50

Step-by-step explanation:

The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5

These two are equal.

In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease

is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.​

Answers

Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?

b) How many minutes did she practiced in those 12 days?

Answers

Answer:

9 hours, 540 minutes

Step-by-step explanation:

12 x 0.75 = 9

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