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tankabanditka [31]
3 years ago
9

WHAT IS THE REFERENCE ANGLE FOR 357 DEGREES

Mathematics
1 answer:
andre [41]3 years ago
5 0
The reference of the angle would be 45 degrees
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Prove that for all n in the naturals, n(n+1)(n+2) is divisible by 3
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By induction:

It's true for n=1, since 1\cdot2\cdot3 clearly contains a factor of 3.

Suppose it's true for n=k, that k(k+1)(k+2) is divisible by 3. Then

(k+1)(k+2)(k+3)=\dfrac{k(k+1)(k+2)(k+3)}k=\dfrac{3m(k+3)}k

where m is an integer. This reduces to

\dfrac{3m(k+3)}k=3m+9\dfrac mk

and both terms are clearly multiples of 3. We know that \dfrac mk is an integer since we had set m=k(k+1)(k+2) previously, which implies m is a multiple of k. So the statement is true.
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A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs.
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