3 years ago

What is the length of a rectangle that is the perimeter of 114 units?

Mathematics

1 answer:

Simora [160]3 years ago

6 0

There are many answer as long as the length and width add up to 57.

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One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.

Makovka662 [10]

Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
${z}^{2} = {x}^{2} + {y}^{2} \\ (x + 8) ^{2} = {x}^{2} + (x + 7) ^{2} \\ {x}^{2} + 16x + 64 = {x}^{2} + {x}^{2} + 14x + 49 \\ {x}^{2} + 16x + 64 = 2 {x}^{2} + 14x + 49 \\ {x}^{2} - 2 {x}^{2} + 16x - 14x + 64 - 49 = 0 \\ - {x}^{2} + 2x + 15 = 0 \\ {x}^{2} - 2x - 15 = 0 \: \: (multiplied \: by \: - 1) \\ (x - 5)(x + 3) = 0 \\ then \: \: x = 5 \: \: or \: \: x = - 3$
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches

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loris [4]

Do you by any chance have a diagram of the circle or the r value?

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If each stack of coins has the same height, which stack of coins has the greatest volume?

AlexFokin [52]

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Factor the polynomial completely 20x -220x squared + 600x

denis23 [38]

I first would rearrange the problem

-220x^2 + 20x + 600x

Simplify

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Find the GCF of the two values

20x(11x + 13)

Hope this helps!

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