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bazaltina [42]
3 years ago
5

A circular plot with a 160 foot diameter is watered by a spray irrigation system. To the nearest square foot, what is the area t

hat is watered as the sprinkler rotates through a semicircle?
The area watered is ≈ _____ ft2.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.

Area of a circle: A = pi x r^2

r = 160 / 2 = 80

A = pi x 80^2

A = 6400pi / 2 = 3200pi

3200pi = 10053.0965

The area water is approximately 10,053 ft^2.

Hope this helps!! :)

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NEED THIS ASAP Solve each absolute value by expression <br><br> 1) [x+8]=16
IgorLugansk [536]

x +  8= 16

\rightarrow \: x = 16 - 8

\rightarrow \: x = 8

5 0
2 years ago
Given the function f(x) = The quantity of 2x minus 5, divided by 3 , which of the below expressions is correct? (1 point) f−1(x)
Anuta_ua [19.1K]

Answer:

f^{-1}(x)=the quantity of 3x plus 5 divided by 2

Step-by-step explanation:

We are given that a function f(x)=\frac{2x-5}{3}

We have to find the correct expression

Suppose y=\frac{2x-5}{3}

3y=2x-5

3y+5=2x

x=\frac{3y+5}{2}

Therefore, f^{-1}(x)=\frac{3x+5}{2}

Answer:f^{-1}(x)=the quantity of 3x plus 5 divided by 2

8 0
3 years ago
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i
mars1129 [50]

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

l =24in --- length

w = 15in --- width

h =12in --- height

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Required

The absolute change in the height of the water

First, calculate the base area (b):

b = l * w

b =24in * 15in

b =360in^2

The height of the water that was removed is:

<em />H = \frac{V_1}{b}<em> i.e. the volume of the water removed divided by the base area</em>

H = \frac{900in^3}{360in^2}

H = \frac{900in}{360}

H = 2.5in

The absolute change in height is:

\triangle H = |h - H|

\triangle H = |12in - 2.5in|

\triangle H = |9.5in|

\triangle H = 9.5in

8 0
2 years ago
6. It took Todd 9 hours to paint 4 rooms.
Afina-wow [57]

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

3 0
3 years ago
You pay 1.5% interest on your credit card bill every month. This month your
IrinaVladis [17]

Answer:

Step-by-step explanation:

Bill=3475

Interest=1.5%

Total payment made=3475+3475x1.5/100

=3475x101.5/100

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4 0
3 years ago
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