The area of any trapezoid is
Area = (1/2) x (height) x (one base + the other base) .
Take that formula and write in the numbers you know:
(24 m²) = (1/2) x (height) x (5m + 7m)
(24 m²) = (6m) x (height)
Divide each side by 6m :
Height = (24 m² / 6m)
= 4 m .
To simplify into 1 fraction, remember, we must make the denominator the same
x/ (x-1 ) - 1/ (2-2x)
= -x/ -(1-x) - 1/(2-2x) [see the similarity now? ] [whatever we multiply for the denominator, as long as we multiply to the numerator, it will be ok]
= -2x / -(2-2x) + 1/-(2-2x)
= (-2x+1 )/ -(2-2x)
=(2x-1)/(2-2x)
I believe the radius would be 3.39
Hope this helps! Good luck! :)
Subtracting 10x from the given equation gives
120 = 15x
Then dividing by 15 gives
8 = x
Zorah will have to play 8 hours in order to break even (cover her expenses exactly).
