What is the gcf of 24 and 56
1 answer:
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<h3>Answer:</h3>
6.8 inches
<h3>Explanation:</h3>The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).
The Pythagorean theorem tells you
... PC² = PQ² +QC²
... PC² = 13² +9² = 250
... PC = √250 = 5√10 ≈ 15.8114 . . . . inches
The distance from P to the circle is 9 in less than this, so is
... 15.8114 - 9 = 6.8114 ≈ 6.8 . . . . inches
There is only one repeating number, so we multiply both sides by
Now subtract the original number we had to both sides, which is the same as
So we have:
Divide 9 to both sides:
Multiply the fraction by 10 to get rid of the decimal in the numerator.
Simplify the fraction by dividing the numerator and denominator by 2: