A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?

So, exist 34650 different ways.

Step-by-step explanation:

We know that a group of 12 people is traveling in three vehicles. We know that  4 people ride in each vehicle.

So, for the first car we choose 4 people out of 12. Then from the remaining 8 people we choose 4 people for the second car. While the remaining 4 people will go into the third car.

Therefore, we get

So, exist 34650 different ways.

3/5 = sin(b)

Step-by-step explanation:

Equation

Tan(b) = sin(b)/cos(b)                         Multiply both sides by cos(b)

cos(b)*tan(b) = cos(b)sin(b)/cos(b)    Simplifiy

cos(b)*tan(b) = sin(b)

Givens

Tan(b) = 3/4

Cos(b) = 4/5

Solution

4/5 * 3/4 = sin(b)

12/20 = sin(b)

3/5     = sin(b)