Question

Please help w math ASAP!

Answer 1

13

Explanation:

Let OC = r and OA = r

We can use the Pythagorean theorem to solve sin AB is tangent

a^2 + b^2 = c^2

OA^2 + AB^2 = OB^2

r^2 + 12^2 = (8+r)^2

FOIL

r^2 + 144 = r^2 +16r+64

Subtract r^2 from each side

144 = 16r +64

Subtract 64 from each side

144-64 = 16r

80 = 16r

Divide by 16

80/16 = r

5=r

We want OB

OB = r+8 = 5+8 = 13