ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
It is important to note the details already given in the question. Based on those details the answer to the question can be easily determined. Now let us focus on the question given.
Cost price of the product in question = $360
Percentage of gain on the product = 12.5%
Then
amount of gain made on the product = (12.5/100) * 360 dollars
= 450/10 dollars
= 45 dollars
So
The selling price of the product in question = (360 + 45) dollars
= 405 dollars
To solve this, we must isolate x (have it by itself).
4/5x = 56
Multiply each side by 5x.
4/5x(5x) = 56(5x)
Divide each side by 280.
4/280 = 280x/280
Solve.
0.014 = x
0.014 can also be written as 1/70
:)