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gregori [183]
2 years ago
15

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

Mathematics
2 answers:
Gala2k [10]2 years ago
4 0
I'm not sure but I think it's 11.5.
saw5 [17]2 years ago
4 0

Answer:

C. 11.5

Step-by-step 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.

(\frac{x}{2})^2+3^2=6.2^2

\frac{x^2}{4}+9=42.25

\frac{x^2}{4}+\frac{9*4}{4}=42.25  

\frac{x^2}{4}+\frac{36}{4}=42.25

\frac{x^2+36}{4}=42.25

Multiply both sides of equation by 4.

4*\frac{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.

\sqrt{x^2}=\sqrt{133}  

x=11.5325625946707959\approx 11.5    

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

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