We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
</span>
in this problem
a=?
b=20
c=9
A=90°
so
a² = b²+ c² – 2*b*c*cos(A)
but
cos (A)=0
a² = b²+ c²-----> 20²+9²----> a²=400+81----> a²=481-----> a=√481
a=21.93-----> a=22
the answer is
22
<h3>
Answer: c < -13</h3>
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Work Shown:
9c + 90 < -27
9c + 90 - 90 < -27 - 90 .... see note 1
9c < -117
9c/9 < -117/9 ... see note 2
c < -13
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note 1: I'm subtracting 90 from both sides to undo the "plus 90" that is happening on the left side
note 2: I divided both sides by 9 to undo the multiplication. The expression 9c is the same as 9*c or "9 times c". The inequality sign will <u>not</u> flip as we are dividing both sides by a positive number.
