Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, offices can be filled in 11,880 different ways.
Answer:
Area = 152ft²
Step-by-step explanation:
Simpifly:
A = 13(13-6) + 9(13-6)
A = 13(7) + 9(7)
A = 22(7)
A = 22(7)
A = 20(7)+2(7)
A = 140 + 14
A = 152
You want to end up with
. Expand this using the angle sum identity for sine:

We want this to line up with
. Right away, we know
.
We also need to have

Recall that
for all
; this means

Then

So we end up with

Answer: He will have 88 cups of punch left over
Step-by-step explanation:
That would be 3.5 b/c it can’t be expressed as a ratio or a simple fraction