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MaRussiya [10]
3 years ago
10

the area of a triangle is 96 2. the height of the triangle is 8 inches. find the perimeter of the triangle if each side of the t

riangle is the same length as the triangle’s base.
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
Area = 1/2 bh
96 = 1/2 x b x 8 = 4b
b = 96/4 = 24 inches

Perimeter = 3b    [since the other sides are equal to the base]

P = 3 x 24 = 72 inches.
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CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

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          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

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