The floor of a new planetarium is a circle with a 13-yard diameter.A stage will occupy a quarter circle section of the floor.The material for the stage will cost $31.47 per square yard. If no material is wasted when making the stage,how could you find how much the stage will cost? Use 3.14

Answers

Answer 1

Answer:

$1,043.74

Step-by-step explanation:

Area of the circular floor = πr²

Since the stage only occupies a quarter circle section of the floor, then;

Area of the stage = πr²/4

Given

diameter of the floor = 13yd

radius = 13/2 = 6.5yd

Find the area of the stage;

Area of the stage = π(6.5)²/4

Area of the stage = 3.14(42.25)/4

Area of the stage = 33.16625yd²

If the material for the stage will cost $31.47 per square yard, this means;

1yd² = $31.47

33.16625yd² = x

Cross multiply

x = 33.16625*31.47

x = 1,043.74

Hence the stage will cost $1,043.74


Related Questions

find the value for x!

Answers

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.

HELP ME PLEASEEEE!!!

Answers

Answer: Sitting fee - 32$

Step-by-step explanation:

This is a system of equations(let x represent the sitting fee)

x+6y=50

x+11y=65

You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y

Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65

Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3

Now that y = 3 input this into any equation I choose the 1st one.

x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)

x = 32

Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True


Which statement below best describes what a ratio is.
A . A comparison
B. A comparison of many things
C.A number
D. A comparison of two quantities using diwasion

Answers

A. A ratio is a comparison

What is the area of a rectangle with a length of 3 ft and a width of 16.1 ft? 48.3 ft2 38.2 ft2 24.15 ft2 19.1 ft2

Answers

Vent fmtsmstjqrjatjwtnatnatn

Two spheres have a scale factor of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.

Answers

Answer:

48ft^2

Step-by-step explanation:

Given that:

Small and large Spheres have a scale factor of 1 : 3

Hence,

Smaller sphere = 1

Larger sphere = 3

Surface area of smaller sphere = 16ft^2

Hence,

Surface area of larger sphere = (3 * 16ft^2) = 48ft^2

Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2

PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)

Answers

It’s H F And A Thats is the thing you need to put but if you think I’m wrong then ok

which number line shows the solutions to n > 0

Answers

It can be any number from 1 and up. So it’s the first one

The third line shows the solutions to n > 0.

The correct option is third line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

brainly.com/question/24644930

#SPJ5

Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.

Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?

A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05

Answers

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

SOMEONE PLEASE HELP!!!!

Answers

Answer: it’s C

T r u s t M e ;)

The GFC is 3a^2b^2
The second response

b -2 = 9/b-2
Answer ?

Answers

Step-by-step explanation:

I don't know if it's correct

b-2=9/b-2 (b isn’t equal of 0)
b=9/b-2+2
b=9/b
b^2=9
b=3 or b=-3

If bc+ad=b solve for a

Answers

Answer:

a = (b - bc)/d

Answer:

ad=b-bc

a=b-bc/d or  a=b-bc

                        --------

                            d

*everything is divided by d on the other side...so b-bc is all divided by d

help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters

Answers

Answer:

The cost of the new item is $72

Step-by-step explanation:

You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25

Now multiply 0.25 by the original cost of the item which is 96.

If you think about 0.25 as 1/4, because 25 is 1/4 of 100.

You will get 24, this is how much money is taken off of the original price.

So some easy subtraction: 96-24=72.

Now you have the new cost of the item

In a shopping district with a variety of stores, 9 of the stores sell jewelry. The jewelry stores make up only 3% of the shopping district. How many stores are in the shopping district?

Answers

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch ​

Answers

graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5

graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2

graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4

graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3

I don't know if it's right tho :C

Answer:

The amount of fruit syrup Rex added is: 3 liters

and the amount of water he added is: 4 liters.

Step-by-step explanation:

3y = 2x + 6

x + y = 7

y = 7 - x

3(7 - x) = 2x + 6

21 - 3x = 2x + 6

21 - 6 = 2x + 3x

15 = 5x

15/5 = x

3 = x

x + y = 7

3 + y = 7

y = 7 - 3

y = 4

Solution is (3,4)

gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car

Answers

33.44/2.09 = 16
He puts 16 gallons

Answer:

16 gallons

Step-by-step explanation:

33.44 divided by 2.09 is 16, so he put 16 gallons in his car.

Multiple Choice
What is the domain of the function below?

{(0, 2), (3, 1), (5,2), (8,4)}?

A. {1, 2, 4}
B. {0, 3, 5, 8}
C. {0, 1, 2, 3, 4, 5, 8}
D. {(0, 2), (3, 1), (5,2), (8,4)}

Answers

Domain is the x values.

The x values in the given function are: 0,3,5,8

The answer would be B. {0,3,5,8}

Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?

Answers

Answer: Because people talk about important information

Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.

−3x^ 2 +6x+9=
factor

Answers

Answer:

the answer in factor form would be

-3(

Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.

Answers

Answer:

1) 90+30+x=180

x= 60

2) 2x+90=180

x= 45

3) angle SPQ

90+55+ SPQ=180

SPQ= 35

Therefore as op=os=radii= isosceles triangle

angles OPS=OSP

SPQ +QPO=OSP

35 + x = 55

x=20

4)110+ 90+90 +x=360

x=70

5)90 +90 +45+x=360

x=135

hope it helped.

Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?

A.) 34 = 5 + e

B.) 34 = e - 5

C.) 34 = 5 - e

D.) 34 = 5e

Thank you for your time!~
Lots of love for you~ <3

Answers

Answer:

The answer would be c

Step-by-step explanation:

Help Me Find The Inequality of the graph ​

Answers

Hope this help Can ask any doubt

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

PLEASE HELP! 5TH GRADE MATH! Select the best estimate of the product of Select the best estimate of the product of 52 x 89 = ____

Answers

Answer:

400

Step-by-step explanation:

50x80=400, you just ignore the ones digits so its easy to solve. (5x8x100)

III
Knowledge Check
Rewrite the equation below so that it does not have fractions.
2
3
x + 4 =
4
Do not use decimals in your answer.
Х
+
5
?

Answers

Answer:

[tex]9x- 60=10[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]

Required

Rewrite to remove fractions

The denominators in the above expression are 4 and 6.

So, first we take the LCM of 4 and 6

[tex]LCM = 12[/tex]

Next, multiply both sides of the equation by this LCM (12)

[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]

[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]

[tex]3 * 3x- 60=5 * 2[/tex]

[tex]9x- 60=10[/tex]

Hector has 10 cups of flour. Which equation shows how to determine the number of Two-fifths of a cup servings there are in the 10 cups of flour?

Answers

Answer:

10 divided by two fifths = 25

What is the slope of this line?

y= -5/3x + 5

Answers

Answer:

-5/3

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

y=mx+b

m is the slope

so its -5/3

Hope this helps plz hit the crown :D

Whats the reciprocal for -4

Answers

Answer:

It is n-1. Does this help any or not?

Answer:

1/4

Step-by-step explanation:

so -4 is basically -4/1, you flip that and change the negative symbol to positive, making it 1/4.

I need help ASAP plz

Answers

Answer:

With what?

Step-by-step explanation:

Answer:

cant help uoi b1t ch

Step-by-step explanation:

needing help asap for anyone that knows!!

Answers

AC/DF= BC/EF is the correct answer! :)

Answer:the forth answer is correct

Step-by-step explanation:

What is a graphical word that means the same as the letter "a" in
exponential functions?​

Answers

Answer:

Base of the function. Starting value

Step-by-step explanation:

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