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3 years ago

Can someone explain how to solve for x?

Mathematics

1 answer:

alina1380 [7]3 years ago

8 0

Answer:

x=11

Step-by-step explanation:

Notice that the first diagram is similar with the second diagram with ratio 1:2

Ex: Side length of JK is 6 and NP being 12, 6:12→1:2

You can conclude that x:22 needs to follow the ratio of 1:2

Thus, x=11

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The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface

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Answer:

$2\sqrt{2}\ ft\ longer$

Step-by-step explanation:

Suppose a cube with side length s, the area of one side is

$A_s=s^2$

Since the cube has 6 sides, the total area is

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$\displaystyle s=\sqrt{\frac{A}{6}}$

We have two different cubes with areas 1,200 square inches and 768 square inches. Let's compute their side lengths

$\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}$

$\displaystyle s_1=10\sqrt{2}\ ft$

$\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}$

$\displaystyle s_2=8\sqrt{2} ft$

The difference between them is

$10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft$

The side of the cube with area 1,200 square inches is $2\sqrt{2}\ ft$ longer then the side of the cube with area 768 square inches

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3 years ago

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1 year ago

Can someone explain how to solve for x?​

Can someone explain how to solve for x?