What is the value of x to the nearest tenth? a) 37.0 b) 18.5 c) 40.8 d) 29.5

A) 37.0

Step-by-step explanation

We know that there is a right triangle in the circle. We know the hypotenuse and one other length.

a² + b² = c²

Plug this equation in with the figure,

16.2² + x² = 24.6²

square this equation out

262.44 + x² = 605.16

subtract 262.44 from 605.16

x² = 342.72

Now in order to get rid of x² you have to do the opposite which is √

√x² = √342.72

x = 18.5

BUT this is only half of the chord, so you must multiply by 2.

18.5 × 2 = 37.0

ANSWER: 37.0

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