Answer:
It's choice 2. c = 3 sin 45 / sin 40.
Step by-step explanation:
m< A = 180 - 45-95
= 180 - 140
= 40 degrees.
So by the Sine Rule:
c / sin 45 = 3 / sin A
Cross multiply:
c sin A = 3 sin 45
c = 3 sin 45 / sin 40.
Answer:
5/2 x 1/2
Step-by-step explanation:
when you multiply fractions you multiply trait across meaning you do 5*1 and 2*2 which leaves you with 5/4 and that is equivalent to 1 &1/4
Answer:
B: Permutation; Number of ways = 60
Step-by-step explanation:
First we have to decide if this is a problem of permutation or combination. The rule is:
- If the order matters, permutations will be used
- If order does not matter, combinations will be used
In this problem, they order of awarding the medals matters, so this is a permutation problem.
We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:

Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.