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3 years ago

What is the equation of the line that has a slope of 14

Mathematics

1 answer:

sammy [17]3 years ago

5 0

Answer:

y=1/4x+1

please mark as brainliest

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

3 years ago

Eli had $10, but he lost some of it. His mom doubled the money he had left. Eli wrote the expression 2(10 – k) to show how much

Juli2301 [7.4K]

Answer:

Equation 1

In the story it said Eli's mom doubled the money he left, that is what the two represents. 10 is the original amount he had. -k is the money he lost.

Equation 2

20 is the the result of the original 10 being multiplied. -2k, now the 2 is still the amount that the mom doubled his amount by, and the k is how much money Eli lost.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)}

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Domain is the x-coordinate and the range is the y-coordinate.

B. Domain: {7}

Range: {-4, -2, 1, 4, 6}

6 0