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Umnica [9.8K]
3 years ago
11

One leg of a right angel is 4 less than the other leg. The square of the hypotenuse of the right angel is 80. How long are the l

egs of the right triangle? Show your work.
Mathematics
1 answer:
Mice21 [21]3 years ago
8 0
Sometimes these problems are easier to work if you consider the average of the two leg lengths. Call that "x".
.. (x -2)^2 +(x +2)^2 = 80 . . . . . . . by the Pythagorean theorem
.. x^2 -4x +4 +x^2 +4x +4 = 80 . . eliminate parentheses
.. 2x^2 +8 = 80 . . . . . . . . . . . . . . . simplify
.. x^2 = (80 -8)/2 = 36
.. x = √36 = 6
Legs are this value ±2.

The leg lengths are 4 and 8.
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Answer: 8.4; 14.

Step-by-step explanation:

To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

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3 years ago
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Answer:

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Step-by-step explanation:

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