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2 years ago

Are the equations 3x=−9 and 4x=−12 equivalent? Explain. yes they are

Mathematics

1 answer:

My name is Ann [436]2 years ago

5 0

Step-by-step explanation:

Yes they are equivalent. You get -3 when you try solving the actual equation.

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I need help with this im currently brainded

makvit [3.9K]

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2 years ago

Read 2 more answers

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

Solve the following quadratic equation by factoring:<br> <img src="https://tex.z-dn.net/?f=y%5E%7B2%7D" id="TexFormula1" title="

Furkat [3]

Answer:

y = 8 or y = 0

Step-by-step explanation:

Solve for y over the real numbers:

y^2 - 8 y = 0

Factor y from the left hand side:

y (y - 8) = 0

Split into two equations:

y - 8 = 0 or y = 0

Add 8 to both sides:

Answer: y = 8 or y = 0

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3 years ago

rectangular piece of paper 4 cm wide length twice its width measuring 3 cm by 7 cm how many sq cm will be visible on top?

aalyn [17]

22 square centimeters

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3 years ago

4x-<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{3}" alt="\frac{1}{3}" align="absmid

Delvig [45]

The answer most likely is 9

6 0

3 years ago