al calls every 3 days, lee every 4 days, and pat every 6 day. Once every ? days, all three will call on the same day
1 answer:
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Answer: the shortest side is 279.24 feet
Step-by-step explanation:
The diagram of the triangle in shown in the attached picture. The given angles of 30 degrees and 50 degrees are for the shorter sides.
Since the sum of angles in a triangle is 180 degrees, it means that the angle of the longer side, x will be
x = 180 - (30 + 50)
x = 180 - 80 = 100 degrees
The sine rule states that
a/sinA = b/sinB = c/sinC
c = 550
a = the shortest side.
Therefore
a/sinA = c/ sinC
a/sin30/= 550/sin100
asin100 = 550sin30
0.9848a = 550×0.5 = 275
a = 275/0.9848
a = 279.24 feet
Answer: -9n+20
This is the same as 20-9n
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Explanation:
The jump from 11 to 2 is "minus 9"
The jump from 2 to -7 is also "minus 9".
Assuming this pattern continues on, we have an arithmetic sequence with
- a = 11 = first term
- d = -9 = common difference
The nth term can be found like so
Let's check the answer by trying n = 3
This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.