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Triss [41]
4 years ago
6

Can someone find the expression for h in terms of x.

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
7 0
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x² 
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder 
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have 
9x²×pi×h=45×pi×x³
simplified h=5x
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If h(x) = -5x -10 find (h-2)
gizmo_the_mogwai [7]
H(x) = -5x - 10
h(-2) = -5(-2) - 10
h(-2) = 10 - 10
h(-2) = 0
8 0
3 years ago
Chris has finished 30% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate,
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Using V =iwh what is an expression for the volume of the following prism​
vampirchik [111]

Answer:

we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=\frac{d-2}{3d-9}=\frac{d-2}{3(d-3)}

W=\frac{4}{d-4}

H=\frac{2d-6}{2d-4}=\frac{2(d-3)}{2(d-2)}=\frac{(d-3)}{(d-2)}

Substitute the values in the formula

V=\frac{d-2}{3(d-3)}*\frac{4}{d-4}*\frac{(d-3)}{(d-2)}=\frac{4}{3(d-4)}=\frac{4}{3d-12}

therefore

the answer is the option

4/3d-12

Step-by-step explanation:

7 0
3 years ago
Can someone help me please ?!!! 15 points please
ASHA 777 [7]

Answer: c.+dhf+2-4= 6)

Step-by-step explanation: Hope this helps!

7 0
3 years ago
As a result of the installation of a muffler, the noise level of an engine was reduced from 89 to 72 decibels. Find the percent
Jobisdone [24]

Answer:

Step-by-step explanation:

Using the formula

Initial -final/initial =%/100

89-72/89 =%/100

17/89 =%/100

Making %subject of the formula

% =17*100/89

So % =1700/89

%= 19.101

Therefore rounding off the answer we have

X=19%

4 0
3 years ago
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