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erastova [34]
3 years ago
13

The area of a right triangle is 60 ft2. The base of the triangle is 8 ft. What is the length of the hypotenuse? Show your work.

Don’t forget to label your answer.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0
I think the hypotenuse is 17
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Answer: The correct answer is:  [D]:  "8" .

Step-by-step explanation:f y varies inversely with x;  then y = k/x ; with "k" being the "constant" in this equation.  

You can find the constant by substituting the values given: x = 16,  f(x) = y = 2 ;

So, f(x) = y = 2  = k/16 ;

→  2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→  16* (2) = (k / 16) * 16 ;

→  32 = k ;

 ↔  k = 32 ;  

As such, we can write the equation:

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→  y = 32/ x ;

Since we are given:  "x = 4" ;  Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So;  f(x) = 8 ;  which is:  Answer choice:  [D]:  "8" .

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¡Espero que esto ayude!

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