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cestrela7 [59]
4 years ago
5

How many square inches are in 60 square feet

Mathematics
2 answers:
jasenka [17]4 years ago
5 0
<h2>Answer</h2>

8640 square inches

<h2>Explanation</h2>

To solve this, we are going to take advantage of the fact that 1 square foot is equal to 144 square inches so we can create a suitable conversion fraction.

Since we want to convert from square feet from inches, the denominator of our conversion fraction will be square feet so we can cancel those out and get the result in square inches:

60square.feet*\frac{1144square.inches}{1square.fett} =60*144square.inches=8640square.inches

There are 8640 square inches in 60 square feet

cricket20 [7]4 years ago
5 0

Answer:

8640

Step-by-step explanation:

144 sq in are in 1 sq foot, so times that by 60, and you get 8640. Hope this helps :)

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Answer: 7 centimeters 

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that 
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     - Segment AC and segment CD are the north sides
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     - AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent. 

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure. 

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent. 

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
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By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So, 

\frac{BC}{CD}  =  \frac{AC}{CE} &#10;&#10;&#10;    (1)

Since AC = 6, CD = 42, CE = 36, BC = x, we can substitute these values to equation (1). So, equation (1) becomes

\frac{x}{42} = \frac{6}{36}
\frac{x}{42} = \frac{1}{6}  (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

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