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2 years ago

Find the area of the carpet tile. Then find the area covered by 120 carpet tiles.

Mathematics

1 answer:

weqwewe [10]2 years ago

7 0

The area of the carpet is the amount of space it occupies

The area of the carpet tile is 256 square inches
The area covered by 120 tiles is 30720 squares inches

<h3>How to determine the carpet area</h3>

The dimension of the carpet tile is 16 inches by 16 inches

So, the area is:

$Area = 16 * 16$

Evaluate the product

$Area = 256$

Hence, the area of the carpet tile is 256 square inches

For 120 carpet tiles, the area is:

$Area = 120 * 256$

$Area = 30720$

Hence, the area covered by 120 tiles is 30720 squares inches

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Step-by-step explanation:

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3 years ago

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2 years ago

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Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

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step 3

Find the measure of angle C

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$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

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3 years ago

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3 years ago

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