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Triss [41]
3 years ago
6

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

Mathematics
1 answer:
PilotLPTM [1.2K]3 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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6 0
2 years ago
Which of the following shows the Commutative Property of Addition? (4 + 3) + x = (3 + 4) + x ab = ba r + (s + t) = (r + s) + t n
Novosadov [1.4K]
Commutative says you can add or multiply in any order

basically goes like this
a+b=b+a or
ab=ba

so what we need is something where the order change, nothing else
first one: (4+3)+x=(3+4)+x, the order changed, correct

2nd
ab=ba, this is not addition

3rd
r+(s+t)=(r+s)+t this is associative property

4th
n+0=n
this is zero addition property



answer is first one
8 0
3 years ago
How to solve it with walk through steps
mario62 [17]
You can say

x+y=5
x=5-y

You know the value of x, put it into the next equation.

3(5-y)-7y=19
15-3y-7y=19
15-19 = 10y
-4=10y
-4/10=y
-2/5=y

Put y value back into either equation to find value of x.

x+y=5
x-2/5=5
x=5+2/5
x=27/5

Therefore, x,y = (27/5, -2/5)

Hope I helped :)
6 0
3 years ago
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