Question

What is the value of x to the nearest tenth?

Please help thank you.

Answer 1

I think itd be C. 11.5

Answer 2

11.5 units is the value of x to the nearest tenth.

Explanation:

Given : Circle with origin O, and radius 6.5 units . A perpendicular from origin to chord.

To find = value of x

Solution :

In the fig,Length of the chord , AB= x

AC = BC =
`(x)/(2)`

(perpendicular drawn from the center of the circle to the chord bisects the chord)

In ΔOCB

`OC^2+BC^2=OB^2` (Pythagoras theorem)

`(3 units) ^2+(x^2)/(4)=(6.5 units)^2`

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

`(x^2)/(4)=42.25 unit^2-9 unit^2=33.25 unit^2`

`x^2=33.25 unit^2* 4=133 unit^2`

`x=√(133 units)=11.53 units\approx 11.5 units`

11.5 units is the value of x to the nearest tenth.