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2 years ago

Area of a triangle using sine rule: workout area of ABCD please show working out

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

5 0

Answer:
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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

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,

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

$\frac{1}{48\pi}=\frac{dr}{dt}$

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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3 years ago

benny has a total of 64 quarters and pennies in his pocket. these coins total $4.00 how many pennies are in Benny's pocket

levacccp [35]

I think its 14 quarters and 50 pennies

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3 years ago

Please help me with 2 and 3.

Marianna [84]

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Step-by-step explanation:

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Paha777 [63]

I don’t know how to solve its very hard sorry I can’t even solve it ;(

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2 years ago

Martin knows that the relationship between the number of

sp2606 [1]

Answer:

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Step-by-step explanation:

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3 years ago