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2 years ago

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

Mathematics

1 answer:

pychu [463]2 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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3 years ago

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3 years ago

Read 2 more answers

A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were m

Naddik [55]

<span>1. </span><span>Original ratio of the bike and scooter is equals to :
=> 3 : 4, where 3 is the bike and 4 is the scooter
=> 48 bikes
=> original order = 64 scooter
=> 64 / 4 = 16
however, bike is more popular than scooter, so they changed it into new ratio:
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3 years ago

a marble is rolled down a ramp. The distance it travels is described by the formula d=490T^2 where d is the distance in centimet

Helga [31]

Answer:

The period when its more than halfway

= 2 < t ≤ 2.83 seconds ( to nearest hundredth).

Step-by-step explanation:

When is is halfway down the ramp d = 3920/2 = 1960 cm, so:

1960 = 490 t^2

t^2 = 1960/490 = 4

t = 2 seconds.

When it reaches the bottom d = 3920 :

t^2 = 3920/490 = 8

t = 2.83 seconds.

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3 years ago