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Nata [24]
4 years ago
8

write an algebraic expression that can be used to find the area of a triangle that has a base of 5 units and a height of x units

.
Mathematics
1 answer:
Musya8 [376]4 years ago
8 0
V=1/3 x 3.14 x r^2 x H 
v=1/3 x 3.14 x 2.5^2 x H
v=1/3 x 3.14 x 6.25 x H
v=1/3 x 19.625 x H
1 x 19.625= 19.625   x   58.875  divide 58.875 by 3 = 19.625
                            1                3     
19.625 = Height
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Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

V = \frac{4\pi r^3}{3}

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that \frac{dr}{dt} = 4

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is \frac{dV}{dt} when r = \frac{d}{2} = \frac{60}{2} = 30. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

\frac{dV}{dt} = 4\pi*(30)^2*4

\frac{dV}{dt} = 1508

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

7 0
3 years ago
A company ordered paper supplies. They bought five times white
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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