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ella [17]
3 years ago
9

Help and show work for #9

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer: 11,304mi^2

We're finding area of a circle.

A = pi*r^2

A = pi*60^2

A = pi*3600

A = 11,304mi^2

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6 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
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Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

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h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

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Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

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\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
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