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FrozenT [24]
3 years ago
11

TIMED TEST PLEASE HELP ME!!!!

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

16 cm^2

Step-by-step explanation:

Hope this helps

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

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Solve the screenshot
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Step-by-step explanation:

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If q is the midpoint of segment PR, find the coordinates of R if P (11,-2) and Q (4,3) ​
Murrr4er [49]

Answer:

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Step-by-step explanation:

R = 2Q -P

R = 2(4, 3) -(11, -2) = (8-11, 6+2)

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_____

You can derive the formula for the endpoint from the formula for the midpoint:

  Q = (R + P)/2

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Step-by-step explanation:

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