Question

What is the value of x to the nearest tenth
3.6
5.8
11.5
14.3

Answer 1

I'm not sure but I think it's 11.5.

Answer 2

C. 11.5

Explanation:

We can see from our given diagram that we have a right triangle inside our circle, so we will use Pythagorean theorem to find the value of x.

Since length of segment is x and side length with measure 3 is perpendicular to x, so side length of right triangle will be x/2.

`((x)/(2))^2+3^2=6.2^2`

`(x^2)/(4)+9=42.25`

`(x^2)/(4)+(9*4)/(4)=42.25`

`(x^2)/(4)+(36)/(4)=42.25`

`(x^2+36)/(4)=42.25`

Multiply both sides of equation by 4.

`4*(x^2+36)/(4)=4*42.25`

`x^2+36=169`

`x^2+36-36=169-36`

`x^2=133`

Let us take square root of both sides of our equation.

`√(x^2)=√(133)`

`x=11.5325625946707959\approx 11.5`

Therefore, the value of x is 11.5 and option C is the correct choice.