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quester [9]
3 years ago
14

The length, width, and height of a right rectangular prism are multiplied by 2/3. What will be the effect on the volume of the p

rism?
Mathematics
1 answer:
miskamm [114]3 years ago
6 0
V initial = l*w*h;
V final = (2/3)l*(2/3)w*(2/3)h = (l*w*h)*(8/9) = V initial * (8/9) ;

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What is the slope of the line NP
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Step-by-step explanation:

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In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = \frac{1-8}{-2-3}

∴ m(MN) = \frac{-7}{-5}

∴ m(MN) = \frac{7}{5}

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∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = \frac{-5}{7}

∴ The slope of NP is \frac{-5}{7}

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