3 years ago

What decimal equivalent of 5/6

Mathematics

1 answer:

BartSMP [9]3 years ago

6 0

Divide 5 by 6 to get0.8333 ( the 3 keeps repeating)

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jeyben [28]

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Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = 4 3 πr3 and its surface

Scrat [10]

Answer:

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

Step-by-step explanation:

The area of a sphere is given by the following formula:

$A = 4\pi r^{2}$

In which A is the area, measured in cm², and r is the radius, measured in cm.

Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.

This means that $\frac{dr}{dt} = 40$

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This is $\frac{dA}{dt}$ when $r = 20$ . So

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Applying implicit differentiation.

We have two variables, A and r, so:

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$\frac{dA}{dt} = 20106.19$

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

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