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timama [110]
4 years ago
7

Use the information provided to calculate the different parts of the proposal: The lazy river is basically a large circle that w

ill need to be filled with water. The radius of the outer perimeter is 30 yards. The river is 4 feet deep and it's width is 5 feet. First compute the river's volume in cubic feet and then calculate how many gallons of water it will hold. Remember 1 cubic foot = 7.48 gallons.
Mathematics
1 answer:
Step2247 [10]4 years ago
4 0

Answer:

10,995.6 ft^3.

2300.3 gallons.

(both to the nearest tenth).

Step-by-step explanation:

Area of the surface of the river =  area of the  outer circle - area of the inner circle.

Radius of the outer circle  = 30 *3 = 90 feet.

So the surface area of the river = π(90)^2 - π(85)^2

= 875π ft^2

Also the volume of the river = surface area * depth = 875π*4 = 3500π ft^3

= 10,995.6 ft^3.

Number of gallons of water it will hold = 10,995.6 /  4.78

= 2300.3 gallons.

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A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
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The equation to model the above scenario is x^{2} +22x - 23 = 0

The perimeter of the expanded rectangle is 48 units

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with its 4 angles 90°

Analysis:

First rectangle:

length = 10 + x

width = x

Second rectangle:

length = x + 14

width = x + 8

Area of expanded rectangle = 135 square unit

(x+8)(x+14) = 135

x^{2} + 8x + 14x + 112 = 135

x^{2} + 8x + 14x -23 = 0

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Therefore x = 1

Expanded length = 1+14 = 15

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Perimeter = 2(9+15) = 48 units

Learn more about Rectangles: brainly.com/question/25292087

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