All categories

3 years ago

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

You might be interested in

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.

7 0

3 years ago

Solve the screenshot

lara [203]

Answer:

its to blurry

Step-by-step explanation:

3 0

3 years ago

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

Murrr4er [49]

Answer:

R(-3, 8)

Step-by-step explanation:

R = 2Q -P

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

R = (-3, 8)

_____

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

Q = (R + P)/2

R = 2Q - P . . . . . . multiply by 2 and subtract P

3 0

3 years ago

Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..

ivanzaharov [21]

The 35th term is -146 :)

3 0

3 years ago

Very important!!! someone please help, it's not hard

Softa [21]

Answer:1.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers