A ring-shaped region shown below. Its inner diameter is20 yd. The Width of the ring is 3 yd. Find the area. Of the shaded region.

9514 1404 393

  216.66 yd²

Step-by-step explanation:

One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.

Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...

  C = πd = 3.14(23 yd) = 72.22 yd

Then the ring area is ...

  (72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region

f

step-by-step explanation:

f

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