brooke8378 brooke8378
  • 16-06-2020
  • Mathematics
contestada

What is the value of x to the nearest tenth?

18.5

29.5

37.0

What is the value of x to the nearest tenth 185 295 370 class=

Respuesta :

RyGuy033
RyGuy033 RyGuy033
  • 16-06-2020

Answer: 37.0

Step-by-step explanation:

Using Pythagorean theorem we can solve for the missing side of the triangle.

[tex]24.6^2=16.2^2 + b^2\\[/tex]

Square 24.6 and 16.2

[tex]605.16 = 262.44 + b^2\\[/tex]

Then subtract 262.44 to the other side to isolate b.

[tex]342.72 = b^2[/tex]

Now square root both sides to solve for b.

b = 18.592

Then multiply b by 2 to find x.

[tex]18.512*2 = x\\[/tex]

x = 37.025

When rounded it is 37.0.

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