Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg. the length of the shorter leg plz hurry.

42 feet.

Step-by-step explanation:

Let's call the shorter side: x

Based on the information given in the problem, you know that:

Longer side:

Hypotenuse:

- Apply the Pythagorean Theorem:

Where a is the hypotenuse and b and c are the legs.

- Substitute values. Therefore, you obtain:

- Solve for x. Keep on mind that:

Then:

Therefore, the  length of the shorter leg is 42 feet.

The roller coaster takes 18 passengers per minute.

Step-by-step explanation:

A roller coaster can take 162 passengers in 9 minutes. The roller coaster operates at a constant rate.

We have the total passengers T = 162 and the time required t = 9 minutes. We need to calculate the rate of passengers per minute R.

We can find the R dividing the total passengers T by time required t.

R = T/t

R = (162 passengers)/ (9 minutes)

R = 18 Passengers/minute.

Finally, we can conclude that the roller coaster takes around 18 passengers pe minute if it operates at a constant rate.