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3 years ago

14

The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimension

s of the rectangle? If x = the width of the rectangle, which of the following equations is used in the process of solving this problem?

1 answer:

Alenkinab [10]3 years ago

8 0

The equation is x(2x+3), and the dimensions are 7 and 17.

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3 years ago

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2 years ago

Read 2 more answers

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

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3 years ago

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Answer:

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