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serg [7]
3 years ago
7

What is the length of the hypotenus of a right triangle in each of the two legs is 7 units

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0

To find the hypotenuse of a right triangle, use the following formula:

c=\sqrt{a^2+b^2}

Your a and your b are your legs. Plug them in. In this case, we plug in 7 for both.

c=\sqrt{7^2+7^2}

c=\sqrt{49+49}

c=\sqrt{98}

Your answer would be:

Approximate: 9.9

Exact: 7\sqrt{2}

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x = 22
y = -5


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3 years ago
the larger of two number is nine more than four times the smaller number. the sum of the two numbers is fifty-nine. find the two
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This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y. 
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Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
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9+5Y=59            [subtract 9 from both sides]
5Y=50                   [divide both sides by 5 to isolate the Y]
Y=10                      [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
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