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vivado [14]
3 years ago
13

The sum of two integers is 10. Their difference is 4. What are the two integers?

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

answer = 7&3

step by step solution

let's take X and Y two intigers

X+Y=10

X-Y=4

adding both equation

X=7

Y=3

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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
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If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

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wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

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  • V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;
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If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

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Then

\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.

Answer 2: correct choice is D.


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