2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12

Mathematics

1 answer:

Schach [20]1 year ago

7 0

Step-by-step explanation:

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The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?

Maurinko [17]

By definition, the volume of a cone is given by:
$V = (1/3) * (\pi) * (r ^ 2) * (h)
$
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
$r = x / 2
$
The height is:
$h = x
$
Substituting values:
$V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)
$
Rewriting:
$V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)$
Answer:
An expression that represents the volume of the cone, in cubic units is:
$V = (1/12) * (\pi) * (x ^ 3)$

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2 years ago

Solve for y -5y+8=-3y+10 what is the answer

masha68 [24]

-5y + 8 = -3y + 10
We need to get y on one side.
Add 3y to both sides.
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We need to get 2y by itself.
Subtract 8 from both sides.
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I hope this helps!

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2 years ago

Read 2 more answers

Find the value of x.

OLEGan [10]

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm