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3 years ago

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A rectangle has an area of 204.8 square inches and a height of 16 inches. What is the length of the base?

1 answer:

Vlada [557]3 years ago

3 0

The length of the base of the rectangle is 12.8 inches.

Here's an explanation:

The problem has stated that the area of the rectangle is 204.8 square inches, and that the height of the rectangle is 16 inches. The equation for finding the area of a rectangle is height *length = area. If you insert the values that we know, then the equation becomes 16*length = 204.8. We can alter the equation, and we can isolate the variable by dividing each side by 16. The equation then becomes length=204.8/16. 204.8/16 is equal to 12.8 inches, and that is the length of the rectangle.

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Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

$m\angle CAE = 30^{\circ}$

$m\angle EAD = 60^{\circ}$

Since,

$\tan =\frac{\text{Perpendicular}}{\text{Base}}$

$\implies \tan 60^{\circ}=\frac{DE}{AE}$

$\sqrt{3}=\frac{40}{AE}$

$\implies AE = \frac{40}{\sqrt{3}}$

Now,

$\tan 30^{\circ}=\frac{CE}{AE}$

$\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}$

$\implies CE = \frac{40}{3}$

Hence,

The height of the cloud above the lake = CE + ED

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3 years ago

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Fed [463]

Answer:

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Step-by-step explanation:

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2 years ago

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mote1985 [20]

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4 years ago

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Genrish500 [490]

Answer:

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Step-by-step explanation:

They are equidistant from the centre

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4 years ago

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kenny6666 [7]

Answer:

Hi there!

Your answer is:

<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

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Plug in to distance formula

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3 years ago