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3 years ago

Use the Pythagorean Theorem to find the distance between points A and D.

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

Answer:

The answer is C

Step-by-step explanation:

i did the test

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The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

3 years ago

HURRY PLZ Graph a line that passes through the coordinates and tell me the answer plzzz

viva [34]

Answer:

I used the graph shown below.

Step-by-step explanation:

The equation of the line is y = x - 4

6 0

4 years ago

Simplify the following expressions:<br><br> (25)6

N76 [4]

1073741824 that is the answer

3 0

3 years ago

Read 2 more answers

5 x + 5 = -5 <br>what is x?

romanna [79]

Answer:

x=-2

Step-by-step explanation:

6 0

3 years ago

Vincent put 4 marigolds in one vase. He filled 6 vases with the same number of marigolds.

Aleks [24]

Answer:

D, 6*4

Step-by-step explanation : You have to understand that there are 4 marigolds in one vase and there are 6 vases so you multiply because all the marigolds together would be the answer of 6*4.

Also the answer would be 6+6+6+6 or 4+4+4+4+4+4

7 0

3 years ago