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1 year ago

A stack of 6 gift boxes is 12.36 inches high. What is the height of 32 gift boxes?

Mathematics

1 answer:

Rom4ik [11]1 year ago

3 0

Answer:

Step-by-step explanation:

Discussion

6 gift boxes are 12.36 inches high

32 gift box are x inches high

This is a proportion question. A proportion is made of 2 equal ratios. If you know 3 parts of the proportion, you can solve for the 4th,

6/32 = 12.36/x Cross multiply

6x = 12.36 * 32 Combine the right.

6x = 395.52 Divide by 6

6x/6 = 395.52/6

x = 65.92

Answer: 65.92

Note

Using a proportion saves you the trouble of finding 1 box and multiplying whatever number you get by 32

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Triangle JKL has vertices J(−2, 2) , K(−3, −4) , and L(1, −2) . Write the coordinate notation for a translation of 8 units right

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2 years ago

Find the approximate difference in the area of the two circles shown below. Use 3.14 for pi.

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Step-by-step explanation:

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2 years ago

What is the answer to this?

Keith_Richards [23]

Answer:

Y = 28.31

Z = 13.29

Angle A = 28

Step-by-step explanation:

For Angle A:

Remember a triangle has a total of 180 degree angles. So set up your formula as

180 - 62 -90 = Angle A

For Y:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin (B) = opp/hyp or b/c or (y)

sinB = 62

b = 25

Rewrite as c=b/2SinB -> c=25/sin62 -> Y = 28.31

For Z:

Use the Pythagorean theorem to find the unknown side.

$z^{2} = 28.31^{2} - 25^{2}$

z = 13.29

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2 years ago