A new bridge structure requires triangles that are in a ratio of 1:1. Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C, and angles A and E are right angles.

If AC = 4x + 3 and EC = 7x − 9, find the distance between the top and bottom of the bridge, in feet.

Question 21 options:

19 ft

38 ft

40 ft

48 ft

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.