seanasia1 seanasia1
  • 01-05-2019
  • Mathematics
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Please help I’m almost done

Please help Im almost done class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-05-2019

ANSWER

[tex]x = 4.1[/tex]

EXPLANATION

The line segment connecting the center and the chord bisects the chord.

Half of the length of this chord forms one of the shorter legs of the right triangle.

[tex] = \frac{15.6}{2} = 7.8[/tex]

We use the Pythagoras Theorem to obtain;

[tex] {x}^{2} + {7.8}^{2} = {8.8}^{2} [/tex]

[tex] {x}^{2} = {8.8}^{2} - {7.8}^{2} [/tex]

[tex] {x}^{2} = 16.6[/tex]

[tex]x = \sqrt{16.6} [/tex]

[tex]x = 4.1[/tex]

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