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3 years ago

Will a 11.5-inch x 18-inch rectangular tray fit in the box shown? Explain.

Mathematics

1 answer:

pychu [463]3 years ago

3 0

Answer:

Option D

Step-by-step explanation:

From the picture attached,

In the parallelogram ABCD,

Length of diagonals AC and BD are equal.

By the property,

"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".

Therefore ABCD is a rectangle.

That means all interior angles of the given rectangle will be 90°.

Now we apply Pythagoras theorem in right triangle ΔABC,

AC² = AB² + BC²

(22)² = (12)² + (BC)²

484 - 144 = (BC)²

BC = √340

BC = 18.44 inches

Dimensions of the given box are 12 inches by 18.44 inches.

Dimensions of the rectangular tray is 11.5 inches by 18 inches.

Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.

Therefore, Option D will be the answer.

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FinnZ [79.3K]

Answer:

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let's dive right into it.

we'll assume that the problem asks for integers, whole numbers.

if x would be 0,

we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8

if x would one, the range would be from 7 to -8, giving us 16 numbers

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6 0

3 years ago

LUCKY_DIMON [66]

Answer:

A. -45

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

2) Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 vases for

prohojiy [21]

For the first florist you would do $12.50 divided by 4 as there are 2 flower bouquets and 2 vases = $3.125, which represents both b and v

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7 0

4 years ago

The sales tax on a $350 computer is $ 22.75. find the sales tax rate.

likoan [24]

Set up an equation to solve for the tax rate, x:

$350(x) = 22.75\\x = \frac{22.75}{350}\\x = 0.065\\x = 6.5%$