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attashe74 [19]
3 years ago
7

14. It costs a pool cover manufacturer $0.15 per square foot for the material they use to make pool covers. If a certain circula

r pool requires a cover with a 24-foot diameter, find the cost for the material
Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

$2.83

Step-by-step explanation:

Diameter of the pool = 24ft

Cost of 1 ft² = $0.15

Area of the pool=?

But the pool is a circular pool,

Area of a circle = Πr² or πd²/4

π = 3.142

Area of the pool = (π * 24) / 4

Area = (3.142 * 24) / 4

Area = 18.85ft²

If 1ft² = $0.15

18.85 = $x

x = (18.85 * 0.15) / 1

x = $2.8275 = $2.83

The cost of the pool is $2.83

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Solve for x 2x^2 = 128<br><br> Answers <br> -6 and 6 <br> -8 and 8<br> -32 and 32 <br> -64 and 64
uysha [10]

Divide both sides by 2

x^2 = 128/2

Simplify 128/2 to 64

x^2 = 64

Take the square root of both sides;

x = √64

Since 8 * 8 = 64, the square root of 64 is 8

<em>x = -8 and 8</em>

<u>Answer: B -8 and 8</u>

8 0
3 years ago
Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
Evaluate the exponent using the power to a power rule.<br><br> (2²a4b7)^3
slega [8]
The answer is 64a^12b^21
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3 years ago
PLEASE HELP MEEEEEEEEEEEEEEEEEE
DerKrebs [107]

Perimeter of the carpet = 21.8 m

Area of the carpet = 29.4 $ m^{2}

<u>Given</u>:

<em>Dimension of the living room:</em>

<em />l = 4.9 $ m\\w = 6 $ m

<em>A. </em><em>Perimeter </em><em>of the carpet = perimeter of a </em><em>rectangle</em>

Perimeter = 2(l + w)

Substitute

Perimeter = 2(4.9 + 6)\\= 21.8 $ m

Perimeter of the carpet = 21.8 m (The digits here are significant)

<em>B. </em><em>Area </em><em>of the carper = </em><em>area </em><em>of a </em><em>rectangle </em>

Area = l \times w

Substitute

Area = 4.9 \times 6\\= 29.4 $ m^{2}

Area of the carpet = 29.4 $ m^{2} (the digits here are significant)

Therefore, considering the rules of significant digits:

Perimeter of the carpet = 21.8 m

Area of the carpet = 29.4 $ m^{2}

Learn more here:

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3 years ago
ryan is making small meat loaves. each small meat loaf uses three fourths pound of meat. how much meat does ryan need to make ei
Tema [17]
You do three fourths times eight and that equals six.
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4 years ago
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