If a roof has a 5:12 pitch and the roof is 175" horizontally from the ridge to the edge, what is the height of the roof from the lowest point to the highest point?

72.92"

Step-by-step explanation:

5 : 12

x : 175

By cross multiplication

12x = 5 * 175

12x = 875

x = 72.92"

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