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ra1l [238]
2 years ago
13

11. The total area of a quilt is defined as the equation: A = x² + 13x + 36. Find the possible side

Mathematics
1 answer:
Luda [366]2 years ago
3 0

Answer:

(x + 9)(x4)

Step-by-step explanation:

A =  {x}^{2}  + 13x + 36 \\  \\  =  {x}^{2}  + 9x + 4x + 36 \\  \\  = x(x + 9) + 4(x + 9) \\  \\  = (x + 9)(x+4)

So, the possible side

lengths of the quilt are (x + 9) and (x + 4) units.

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Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

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<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

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<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

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