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3 years ago

Can a triangle be formed with the side lengths of 2.9 in, 4.8 in, and 7.4 in?

Mathematics

1 answer:

ddd [48]3 years ago

6 0

Answer: Yes

Step-by-step explanation: A triangle can be formed because A+B>C

A and B are 2.9 and 4.8

Since those numbers have the least value

I added both and found that A and B are equal to 7.7

7.7>7.4

These sides could form a triangle

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Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

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

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

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The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

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Answer:

Step-by-step explanation:

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