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Aleks [24]
4 years ago
14

An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units.

Mathematics
2 answers:
Effectus [21]4 years ago
4 0
Volume = <span>πr^2h
1176</span><span>π = </span><span>π(14/2)^2x
1176 = 49x
x = 1176/49 = 24 units
</span>
wolverine [178]4 years ago
3 0

we know that

volume of the cylinder =\pi *r^{2} *h

in this problem

diameter=14 units\\\\ r=\frac{14}{2} \\\\ r=7 units


Volume=1,176\piunits³

solve for h

h=V/(\pi *r^{2} )\\ h=1,176\pi  /(\pi *7^{2} )\\ h=24 units

therefore


the answer is

the height of the cylinder is 24 units

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Answer:  

<em>a.  The system of equations that models the situation is....</em>

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<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

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Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

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and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

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0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

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[Edit:}

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