Can somebody help me please?!!

Mathematics

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

Step-by-step explanation:

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I Need Help ASAP or i will go to DETENTION!!!!!!!!

Julli [10]

Answer:

m<FLS=108 degrees

m<SLT=72 degrees

m<ALG=18 degrees

Step-by-step explanation:

(3x) + (4x +12) = 180

x = 24

4x + 12 = 108 = m<FLS

180 - 108 = 72 = m<SLT

SLG = 72 + 90 + x

x = 18 = m<ALG

4 0

2 years ago

A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?

grin007 [14]

<h3>Answer: 220 combinations</h3>

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Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

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You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

$_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\$