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2 years ago

What is the cause of tides on Earth?

Mathematics

1 answer:

svlad2 [7]2 years ago

3 0

The moon’s gravitational pull

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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.

7 0

2 years ago

A square mosaic is made of small glass squares. If there are 196 small squares in the mosaic, how many are along an edge?

alexandr402 [8]

There would be 14 small glass squares along the edges of the square mosaic.

This is because 14 * 14 = 196, which means that if each side length was 14 squares, that the area of the square would contain 196 squares.

5 0

3 years ago

There is a 5% sales tax on clothing at your favorite store you've gone shopping 4 times how much tax did you pay each time ?

salantis [7]

All you have to do is the amount she bought divided by 0.05 and then add the answer you get to the amount she bought each time

8 0

2 years ago

What is the midpoint of (1,-1) and (4,-6)

Andreas93 [3]

Answer:

(5/2, -7/2)

Step-by-step explanation:

The midpoint is the average value of each coordinate

(1+4)/2 , (-1-6)/2

3 0

2 years ago

A boat goes 3/4 hours with a speed of 8mph and 1/3 hours with a speed of 12mph. What distance did the boat cover in all this tim

Ludmilka [50]

Answer:

10 miles

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

d = $\frac{3}{4}$ (8) + $\frac{1}{3}$ (12) = 6 + 4 = 10 miles

4 0

2 years ago