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svp [43]
3 years ago
10

The area of a triangle is 36 square inches. What is the height of the triangle if the base length is 8 inches? (3 points) a 8 in

ches b 9 inches c 12 inches d 6 inches
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

9514 1404 393

Answer:

  b.  9 inches

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

Solving for h, we get ...

  h = 2A/b

  h = 2(36 in²)/(8 in) = 72/8 in

  h = 9 in

The height of the triangle is 9 inches.

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Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5
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1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8. 

You can verify the equality by simplifying to the simplest form:

     7 : 28 = 1 / 4 simplest form
     2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer


2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
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</span><span>     18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
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</span><span>3) Proportion c. 9 : 72 = 2 : 16
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</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
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</span><span>
</span><span>     9 / 72 = 1 / 8
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</span><span>     2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>

In words: 81 is to 9 as 45 is to 5 ← answer


Proove it: 
      81 / 9 = 9
      45 / 9 = 9
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