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2 years ago

0.297 x 7.1 = 297 + 20790 / 21.087 is it true or false

Mathematics

1 answer:

NeTakaya2 years ago

6 0

Answer:

false

Step-by-step explanation:

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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

45 – 15 – 15 = <br> A. 15. <br> B. 0. <br> C. 1. <br> D. 30

Hatshy [7]

45 - 15 - 15 = 45 - 30

45 - 30 = (15)

7 0

2 years ago

Read 2 more answers

Explain how you use a net to find the surface area of a prism.

weeeeeb [17]

Answer:

Hello, Here is your answer.

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.

5 0

3 years ago

Please help and thannks

blsea [12.9K]

Answer:

745

Step-by-step explanation:

3 0

3 years ago

when u do a problem like this- 9+(-8) -does the -8 change to a positive 8 and does it become subtraction bc of the double negati

tekilochka [14]

Changes to a positive