Solve for h.........

Mathematics

1 answer:

Musya8 [376]2 years ago

8 0

Answer:

Step-by-step explanation:

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Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig

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Answer:

The equation is $9x(x+2)=1,080.$

The solution of the equation is x=10.

Step-by-step explanation:

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Let x ft be the widht of the stall, then the length of the stall is x+2 ft. If each stall must be 9 ft high, then the volume of the stall is $V=x\cdot (x+2)\cdot 9=9x(x+2)\ ft^3.$

The volume of each stall is $1,080\ ft^3,$ then

$9x(x+2)=1,080,\\ \\x(x+2)=120,\\ \\x^2+2x-120=0,\\ \\D=2^2-4\cdot (-120)=4+480=484=22^2,\\ \\x_{1,2}=\dfrac{-2\pm 22}{2}=-12,\ 10.$

The width cannot be negative, thus, $x=10.$

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3 years ago

Hi please help asap..

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A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the g

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To calculate the cost of the fence, we have to find the length of the semi-circle. The cost of fencing the garden would be $328.52 approximately

<h3>Circumference of a Circle</h3>

To find the length of the fence, we have to calculate the circumference of the semi-circle and divide it by 2

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