Tiana is going to swim the length of her swimming pool. The width of her pool is 42 yards and the diagonal distance from one corner to the opposite corner is 58 yards. How far will Tiana swim when she swims the length?

40 yards

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Using this, let's set the length as x.

42² + x² = 58²

Simplify.

1764 + x² = 3364

Subtract 1764 from both sides.

x² = 1600

Take the square root.

x = 40

Thus, the length she would swim would be 40 yards.

40

Step-by-step explanation:

Answer24πexplanationthe region in question is graphed out in the attachment. the method of cylindrical shells revolving around the y-axis:     region goes from x = 0 to x = 2 so    a = 0 and b = 2the radius is the x-coordinate (in the region 0  ≤ x  ≤ 2)    radius = xthe height is the top function minus the bottom function:     height =  (18x - 6x²) - (3x²)    height = 18 - 9x²the volume is therefore