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

According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?

Answers

Answer:

i need more info

Step-by-step explanation:

Help please due in an 1 hour!!

Answers

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

f(x) = x + 4 g(x) = 3x ^ 2 - 7 Find (fg)(x) .

Answers

Answer:

Step-by-step explanation:

(fg)(x) )

[tex](x+4)*(3x^{2} -7)[/tex]=[tex]3x^{3} -7x+12x^{2} -28[/tex] = [tex]3x^{3} +12x^{2} -7x-28[/tex]

Composite functions are functions that are gotten from combining multiple functions.

The value of the composite function (f o g)(x) is 3x^2 -3.

The functions are given as:

[tex]f(x) = x + 4[/tex]

[tex]g(x) = 3x^2 - 7[/tex]

To calculate the composite function (f o g)(x), we make use of:

[tex](f\ o\ g)(x) = f(g(x))[/tex]

We have:

[tex]f(x) = x + 4[/tex]

Substitute g(x) for x

[tex]f(g(x)) = g(x) + 4[/tex]

Substitute [tex]g(x) = 3x^2 - 7[/tex]

[tex]f(g(x)) = 3x^2 - 7 + 4[/tex]

[tex]f(g(x)) = 3x^2 -3[/tex]

Recall that:

[tex](f\ o\ g)(x) = f(g(x))[/tex]

So, we have:

[tex](f\ o\ g)(x) = 3x^2 -3[/tex]

Hence, the value of the composite function (f o g)(x) is 3x^2 -3.

Read more about composite functions at:

https://brainly.com/question/10687170

please helpppppp ! i’m stuck :(

Answers

Answer:

b

Step-by-step explanation:

Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)

Answers

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

some one please help, lots of points granted !!!!!​

Answers

1) y=-2x+5
2)y=-1/3x
3)y=-2x+4
4)y=-1/3x+1

What is the best estimate for the percent equivalent to 3/8?

Answers

37.5% i believe! i’m not reallt sure if this is correct; but i believe it is. hope this helps!

Answer:

To find this out, turn 3/8 into decimal form, (0.375).

Now, turn each percent into standard form. (Also decimal form)

26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.

The decimal closest to 0.375 is 37%.

Step-by-step explanation:

David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?

Answers

Answer:195000

Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales

Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?

Answers

Hello!

[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]

-3(x - 14) + 9x = 6x + 42

Distribute the coefficient of the parenthesis:

-3(x) - 3(-14) + 9x = 6x + 42

-3x + 42 + 9x = 6x + 42

Combine like terms:

6x + 42 = 6x + 42

Both sides of the equation are the same, therefore:

There are infinitely many solutions.

AnswEr :

⠀⠀⠀⠀

Equation have Infinitely many Solutions

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

How to solve ?

⠀⠀⠀⠀

For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

SolutiOn :

➠ - 3 ( x - 14 ) + 9x = 6x + 42

➠ -3x + 42 + 9x = 6x + 42

Now, we will bring the variable on left hand side and constants on right hand side

➠ -3x + 9x - 6x = 42 - 42

➠ -9x + 9x = 42 - 42

➠ 0 = 42 - 42

➠ 0 = 0

As we can see the equation have end with a zero the equation have indefinitely many solutions

Indefinity many solutions

━━━━━━━━━━━━━━━━━

Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30

Answers

Answer:

x = 8

Step-by-step explanation:

Let there are x friends.

The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.

Total cost = $83.30

We need to solve for x. The equation for the scenario is given by :

$2.50x + $4.85x + $24.50 = $83.30

Taking like terms together

$2.50x + $4.85x = $83.30-$24.50

7.35 x = 58.8

x = 8

So, there are 8 friends.

Find the sum of — 6x2 – 1 and x + 9.

Answers

The first answer: -6 x 2 - 1 is -13
The second answer: Cancels out there really is no answer for that unless you wanna put 9x and I doubt that’s right! Hope this helps!

suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.

Answers

The round of the nearest tenth is 128

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function f(x)?

F(x) 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).

Answers

Answer:

the answer is d just took the test

Step-by-step explanation:

Answer:

i think its D

Step-by-step explanation:

how many vertices ate there in a square​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there are 4 vertices in a square

Enter the values for the variables that give the
correct simplified expressions, x => 0.
V
50x2 = V25-2-x2 = 5x]
b =
32x = V16-2 - x = cv 2x
C
18n
9.2.n=ev
e2n
e =
72x2 - V36-2- x2 = gx_3
g=

Answers

9514 1404 393

Answer:

  b = 2

  c = 4

  e = 3

  g = 6

Step-by-step explanation:

b) The number remaining under the radical is what's left after the perfect squares 25 and x² are removed. That is b = 2.

__

c) The number outside the radical is the root of the perfect square constant inside the radical: √16 = c = 4.

__

e) As with c, √9 = e = 3.

__

g) As with c, √36 = g = 6.

Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?

Answers

Answer:

$187.5

Step-by-step explanation:

25% of $750 = $187.5!

All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.

ANSWER FOR BRAINLIEST


A unit rate is a rate in which the unit in the denominator is :

A) 1
B) 3
C) 2

Answers

I believe it would be A. 1

Find all values of x such that 6=35/x -49/x^2

Answers

I have this same question can U let me know when someone answers
Answer:

X1= 7/3, X2= 7/2.

If 8 is added to a number and the sum is divided by 3, the result is 12, find the number. (a) 28 (b) 38 (c) 20 (d) 10

Answers

Answer:

a(28)

Step-by-step explanation:

28+8=36

36/3=12

Answer:

a) 28

Step-by-step explanation:

28+8=36

36/3=12

Use the table to write the rule (equation) for the relationship between x
and y.
х
<
ا
0
-3
1
1
2
5

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

The values in the x column increase by 1 each time.

The values in the y column increase by 4 each time.

Therefore, the slope of your equation should be 4.

The y-intercept is -3 when x = 0.

The final equation would be:

y = 4x - 3

The figure shows the graph of y = -x² + bx + c. Find the values of b and c.​

Answers

Answer:

b = 2, c = 3

Step-by-step explanation:

The zeros are x = - 1 and x = 3

Substitute the zeros into the equation and let y = 0

- (- 1)² - b + c = 0

- 1 - b + c = 0 → (1)

- 3² + 3b + c = 0

- 9 + 3b + c = 0 → (2)

Subtract (1) from (2) term by term, that is

- 8 + 4b = 0 ( add 8 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Substitute b = 2 into either of the 2 equations and solve for c

Substituting into (1)

- 1 - 2 + c = 0

- 3 + c = 0 ( add 3 to both sides )

c = 3

what is the total surface area of three of these ice cubes (pic attached)​

Answers

Answer:

9ft2

Step-by-step explanation:

Answer:

18 ft

Step-by-step explanation:

What is the value of n that would make the following radical expression true?

[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]

n=?

Answers

Answer: 3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

dont remember exactly how we did it in class but went through this question

HURRRY FIRST GETS BRAINLIESTTTT

Answers

Answer:

5

Step-by-step explanation:

because others are already there

Answer:5

Step-by-step explanation:

A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer​. Ill give brainliest and such this is also worth some good points

Answers

Answer:

Distance around the stadium is 75.16 monger than the field

Step-by-step explanation:

From the graph attached,

Coordinates of A → (-10, 60)

Coordinates of B → (60, -10)

Coordinates of C → (10, -60)

Coordinates of D → (-60, 10)

Perimeter of field = AB + BC + CD + DA

Since field is in the shape of a rectangle,

AB = CD and BC = DA

Therefore, perimeter of the rectangle = 2(AB + BC)

Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]

                      = [tex]\sqrt{2(70)^{2} }[/tex]

                      = [tex]70\sqrt{2}[/tex] m

Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]

                      = [tex]50\sqrt{2}[/tex] m

Perimeter of ABCD = 2(70√2 + 50√2)

                                = 240√2 m

                                = 339.41 m

Perimeter of stadium = 2πr      [Here, r = radius of the circle]

                                   = 2π(120)

                                   = 753.98 m

To run around the field twice, distance covered by the players = 2(339.41)

= 678.82 m

Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82

                            = 75.16 m

Answer:

The distance around the stadium is longer than about 75

Step-by-step explanation:

Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 144 okra seeds, how many grew into plants?
A.
69
B.
84
C.
139
D.
247

Answers

Answer:

If Dana planted 144 okra seeds, 84 of those seeds grew into plants.

Explanation:

Image below.

There are okra plants grown from 84 seeds, which is the correct answer would be option (B).

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.

For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.

Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.

Therefore, 84 okra seeds grew into plants.

To learn more about the Ratio click here:

brainly.com/question/1504221

#SPJ2

There are 4 consecutive integers with a sum of 298. What is the value of the least integer?

Answers


Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76

Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________

Answers

Answer:

1. 423     2. 71.25

Step-by-step explanation:

450.00-6%=423

75.00-5%= 71.25

HELPPPPPPP plesssss two part question. the question is on the picture

Answers

A) 6x^3-13x^2-28x
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter

y=

A.39
B.51
C.37

Find what y is through the photo​

Answers

Answer: A, 39

Explained: tan(x) 8/10 = 38.7 which is then rounded to 39
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