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3 years ago

Are the ratios 2.5:3.5 and 5:7 proportional? explain

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

$\frac{2.5}{3.5}=\frac{2.5 \times 2}{3.5 \times 2}=\frac{5}{7}$

They are the same fraction, so they are proportional.

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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

Find the equation of the linear function represented by the table below in slope-

pav-90 [236]

Answer: $y=-3x-2$

Step-by-step explanation:

Using the values $x=-2, y=4$ and $x=1, y=-5$ , the slope is $\frac{-5-4}{1-(-2)}=-3$ .

So, the equation is:

$y-4=-3(x+2)\\\\y-4=-3x-6\\\\y=-3x-2$

3 0

1 year ago

Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the

Arada [10]

Answer:

th answer i think is thirty

Step-by-step explanation:

30 + 10 = 40 and it said at most $50

tell me if i'm wrong

3 0

3 years ago

Read 2 more answers

Heidi takes 45 minutes to cover a distance of 5.4 miles on a treadmill. Find the average distance covered by Heidi in one minute

Natali5045456 [20]

Heidi goes 0.12 miles a minute

5 0

3 years ago

You spend $55 on sneakers, receive $30 for

Pavel [41]

Answer:

$149

Step-by-step explanation:

He spent 55 on sneakers at first, then he recieved 30 more, and gave 20 to the mom, which i added to the equation, and what he has left i also added.

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3 years ago