Can someone explain this please?

9514 1404 393

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

cant open file sorry!

step-by-step explanation:

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.