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3 years ago

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A storage container is rectangular and has a length of 15ft and a width of 4ft. It will hold 270 cubic feet of materials. What i

s the height of the storage container?
The height of the storage container is _______ feet.

1 answer:

KonstantinChe [14]3 years ago

5 0

Volume of a rectangular prism = l × w × h.

In this case,

V = 270 cubic feet

l = 15 feet

w = 4 ft

h = ?

Plug our values into the volume formula.

270 cubic feet = 15 feet × 4 feet × h.

Simplify the right side

270 = 60 × h.

Divide each side by 60.

4.5 = h

The height is 4.5 feet.

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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

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<h2>1.</h2>

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Answer with Step-by-step explanation:

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A damping force is numerically equal to 1/2 the instantaneous velocity

$\beta=\frac{1}{2}$

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Using this equation

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$\frac{1}{2}\frac{d^2x}{dt^2}+\frac{1}{2}\frac{dx}{dt}+6x=10cos(3t)$

$\frac{d^2x}{dt^2}+\frac{dx}{dt}+12x=20cos(3t)$

Auxillary equation

$m^2+m+12=0$

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$m_2=\frac{-1-i\sqrt{47}}{2}$

Complementary function

$e^{\frac{-t}{2}}(c_1cos\frac{\sqrt{47}}{2}+c_2sin\frac{\sqrt{47}}{2})$

To find the particular solution using undetermined coefficient method

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$x''_p(t)=-9Acos(3t)-9sin(3t)$

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Substitute the values then we get

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