Is the answer to your question 4/15?
<h3>
Answer: (C) 8/30</h3>
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Explanation:
There are 5+3 = 8 people in choir and running club. I added the values in the overlapped region of the circles "choir" and "running club".
This is out of 2+5+6+7+3+4+3 = 30 people total.
Divide the two results to form the fraction 8/30
Ideally we should reduce to get 4/15, but your teacher has chosen not to reduce.
Answer:
a= 17√3/ 2 or a≈14.72
Step-by-step explanation:
c = 17 and is the side opposite to the angle C
c=AB =17
a= BC because is the side opposite to angle A
sin 60° = opp./hyp = BC / AB = BC/17
sin 60° = BC /17 multiply both sides by 17
BC = 17* sin 60 = 17√3/2 ≈14.72
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)
For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600
Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
