Answer:
-1/2
Step-by-step explanation:
cos(x+pi) = -cos(x), so the answer is -1/2.
First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.
Formula is...
x = (far arc - close arc) ÷ 2
Now we just need to plug in.
x = (172° - 52°) ÷ 2 =
x = 120° ÷ 2 = 60°
Your answer: x = 60°
Good Luck! :)
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The way to determine the number of solutions is to complete the problem in multiple different ways.
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
972-4=968 and 62-4=58
The highest common number between 968 and 58 is 2 so 968 in fractions is 484/2 and 58 is 29/2
If you multiply these two together you will get 14036/2
