Answer:
cos4B =1-8sin^2(B)+8sin^4(B)
Step-by-step explanation:
cos4B =1-8sin^2(B)+8sin^4(B)
a. The first part asks for how many ways they can be seated together in a row. Therefore we want the permutations of the set of 6 people, or 6 factorial,
6! = 6
5
= 30
4
= 360
2 = 720 possible ways to order 6 people in a row
b. There are two cases to consider here. If the doctor were to sit in the left - most seat, or the right - most seat. In either case there would be 5 people remaining, and hence 5! possible ways to arrange themselves.
5! = 5
4
= 20
3
= 120
1 = 120 possible ways to arrange themselves if the doctor were to sit in either the left - most or right - most seat.
In either case there are 120 ways, so 120 + 120 = Total of 240 arrangements among the 6 people if the doctor sits in the aisle seat ( leftmost or rightmost seat )
c. With each husband on the left, there are 3 people left, all women, that we have to consider here.
3! = 3
2 6 ways to arrange 3 couples in a row, the husband always to the left
Well If john has to pay
89.95 a month so 179.9$
He was given 95$ from the company so 179.9 - 95= 84.9
and he owes 12.75 for late fees so 84.9 + 12.75
He owes a grand total of 97.4$ to the phone company
Answer:
I think the answer is 6.
Step-by-step explanation:
Since the box is 1 foot deep and the cubes are 1 foot, they must sit side by side instead of being stacked up. Therefore you multiply length by width 2x3 and you get 6.