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lutik1710 [3]
3 years ago
6

Can someone help me solve by showing me how to..

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
7 0

Answer:

#15) B. 41

#16. A. 6

Step-by-step explanation:

<h2>#15:</h2>

You are given the Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse of the right triangle.

In problem 15, x is the hypotenuse and 9 and 40 are the legs, so you can substitute these values into the formula and solve for c (x).

  • (9)^2 + (40)^2 = c^2

Evaluate the exponents.

  • 81 + 1600 = c^2

Add the like terms together.

  • 1681 = c^2

Square root both sides of the equation.

  • c = 41

Since c = x, the answer for #15 is b. 41.

<h2>#16:</h2>

x and 8 are the legs and 10 is the hypotenuse, so substitute these values into the formula. Make x = a.

  • a^2 + (8)^2 = (10)^2

Evaluate the exponents.

  • a^2 + 64 = 100

Subtract 64 from both sides of the equation.

  • a^2 = 36

Square root both sides of the equation.

  • a = 6

The answer is A. 6.

hichkok12 [17]3 years ago
3 0

15. \:  x =  \sqrt{ {9}^{2} +  {40}^{2}  }  =  \sqrt{81 + 1600}  =  \sqrt{1681}  = 41 \\ 16. \: x =  \sqrt{ {10}^{2} -  {8}^{2}  }  =  \sqrt{100 - 64}  =  \sqrt{36}  = 6

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