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What is the value of x to the nearest tenth?

Please help thank you.

What is the value of x to the nearest tenth? Please help thank you.-example-1
User Desolator
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2 Answers

6 votes
I think itd be C. 11.5
User Sebastian Walla
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3 votes

Answer:

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.

What is the value of x to the nearest tenth? Please help thank you.-example-1
User Duske
by
7.5k points

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