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bezimeni [28]
3 years ago
12

The length of the top of a computer desk is 2 1/4 feet longer than it's width. If it's width measures y feet, express its length

as an algebraic expression in y
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

Step-by-step explanation:

The top of the computer desk is rectangular in shape.

Let y represent the width of the rectangle.

The length of the top of the computer desk is 2 1/4 feet longer than its width. Converting 2 1/4 feet to improper fraction, it becomes 9/4 feet. Therefore, the algebraic expression of the length of the of the top of the computer desk in terms of y would be

Length = y + 9/4

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Step-by-step explanation:

Given:

\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}

Find \frac{dr}{dt} when diameter D = 20 cm.

We know that the volume of a sphere is given by

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Taking the time derivative of V, we get

\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}

Solving for \frac{dr}{dt}, we get

\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})

\:\:\:\:\:\:\:= 0.08\:\text{cm/min}

3 0
3 years ago
Solve for a. 3a/2&lt;24<br><br> 1)a=16<br> 2)a&gt;16<br> 3)a&lt;16<br> 4)a&gt;-16
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Answer:

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Step-by-step explanation:

4 0
2 years ago
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if the kinetic energy of an aeroplane moving at a velocity of 100m/s is 200j ,what is the mass of the aeroplane
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Answer:

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Step-by-step explanation:

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