An oblique triangle ABC has internal angles ∠A=40∘ and ∠B=53∘, and the length of the side opposite to ∠C is c=30 (metres). Determine the length of the side opposite to ∠A, denoted a, to 2 decimal places.
a=
Number
metres (2 decimal places).
Peter, I found your question interesting and have been messing with it for a while
www.jiskha.com/questions/1789041/Ethel-went-to-the-farmers-market-to-buy-some-eggs-not-in-a-dozen-cartons-on-the
I finally made up a short computer program using a silly old language form the 70'
and came up with 301 as your answer, that is
301 = 1 mod 2
301 = 1 mod 3
301 = 1 mod 4
301 = 1 mod 5
301 = 1 mod 6 , and
301 = 0 mod 7
I also found 721 to work
There is a method called "the Chinese Remainder Theorem" that uses modular arithmetic, but it only works well if the mod arguments are relatively prime, yours aren't.
anyway, 301 leaves a remainder of 1, when divided by 2,3,4,5, and 6, and a remainder of 0 when divided by 7
The same is true for 721, but 301 is the smallest.
3 answers
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