Answer:
4) choice 1) 14.7 cm
5) choice 2) 14.8 cm
Step-by-step explanation:
4) 10^2 + 10^2 + 4^2 = 216
sq rt 216 = 14.7
5) 14^2 + 3^2 + 4^2 = 221
sq rt 221 = 14.86
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
.
![^{12}P_4=\frac{12!}{(12-4)!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%21%7D%7B%2812-4%29%21%7D)
![^{12}P_4=\frac{12!}{8!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%21%7D%7B8%21%7D)
![^{12}P_4=\frac{12*11*10*9*8!}{8!}](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D%5Cfrac%7B12%2A11%2A10%2A9%2A8%21%7D%7B8%21%7D)
![^{12}P_4=12*11*10*9](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D12%2A11%2A10%2A9)
![^{12}P_4=11,880](https://tex.z-dn.net/?f=%5E%7B12%7DP_4%3D11%2C880)
Therefore, offices can be filled in 11,880 different ways.
Answer:
OK
Step-by-step explanation:
Answer & Step-by-step explanation:
Since we use 5 parts blue and 3 parts red, the total sections is 8.
28/8 = 3.5
We want to find the red which is 3 parts.
3.5 * 3 = 10.5.
Your answer should be 10.5 pints of red.
Hope this helps!
Answer:
6x^7 + 12x^6 + 3x^5
Step-by-step explanation:
Simplify the expression.