What is the quotient of 3,968 ÷ 32

Mathematics

2 answers:

Lady_Fox [76]3 years ago

5 0

Answer:

124

Step-by-step explanation:

When you find the "quotient" of something, you just use division.

Image provided below as proof.

<u>Hope this helps and have a nice day!</u>

Arisa [49]3 years ago

3 0

Answer:

124

Step-by-step explanation:

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What is the slope of the line passing through the points (−3, 4) and (4, −1)?

Igoryamba

Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The two given points are (-3,4) and (4,-1). Therefore the slope is
$m= \frac{-1-4}{4-(-3)} = \frac{-5}{7}$

Answer: $- \frac{5}{7}$

3 0

3 years ago

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