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

What is the value of x to the nearest tenth 3.6 5.8 11.5 14.3-example-1
User Patriotec
by
8.2k points

2 Answers

6 votes
I'm not sure but I think it's 11.5.
User Edoardo Guerriero
by
9.4k points
7 votes

Answer:

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.

User Lxuechen
by
9.5k points

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