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Mkey [24]
2 years ago
5

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
6 0

Answer:

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r=\frac{27}{2}=13.5 feet

Surrounding the pool is a  deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck =\pi R^2 -\pi r^2

Area of deck = 3.14(18.5^2-13.5^2)

Area of deck = 502.4 ft^2

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet = 502.4 \times 0.85=427.04

Perimeter of deck = 2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = 116.18 \times 8.25=958.485

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

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Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function? Determine whether 9 – 4(–x)2 is equiv
katovenus [111]

We have a property for odd functions, which is given below. Let f(x) be an odd function then it must satisfy the below - mentioned property.

f(-x)= -f(x)

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For this function to be odd, it must satisfy the above written property.

Replace x with -x, we get

f(-x)=9-4(-x)^2

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-f(x)=-(9-4x^2)

Hence, in order to the given function to be an odd function, we must determine whether 9-4(-x)^2 is equivalent to -(9-4x^2) or not.

Therefore, C is the correct option.

5 0
2 years ago
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On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R On a coordinate plane, a line goes thr
Nitella [24]

Answer:

x + 2y = 8.

Step-by-step explanation:

Line goes through (-4, 0) and (4, -4).

The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.

Since we are looking for the equation of the line parallel to that line, the slope will be the same.

We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.

3 = (-1/2) * 2 + b

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So, we have y = -1/2x + 4.

1/2x + y = 4

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Hope this helps!

8 0
2 years ago
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What is the following product? RootIndex 3 StartRoot 16 x Superscript 7 Baseline EndRoot times RootIndex 3 StartRoot 12 x Supers
Nadya [2.5K]

Answer:

4x^5\sqrt[3]{3x}

Step-by-step explanation:

I'm not sure I understand the problem, but I think it's this:

\sqrt[3]{16x^7} \times \sqrt[3]{12x^9} =

= \sqrt[3]{16 \times 12 \times x^{16}}

= \sqrt[3]{192 \times x^{15} \times x}

= \sqrt[3]{64 \times 3 \times (x^5)^3 \times x}

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= 4x^5\sqrt[3]{3x}

8 0
2 years ago
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