Triangle UVW is formed by the three squares G H and I which statement best explains the relationship between the sides of triangle UVW?
A:
UV + VW =UW, because 81 + 144 = 225
B:
(UV)² + (VW)² = (UW)², because 15² + 9² = 12²
C:
(UV)² + (VW)² = (UW)², because 81 + 144 = 225
D:
UV + VW = UW, because 15² + 9² = 12²

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

df =

both have same length

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees