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Answer:
A) None
Step-by-step explanation:
1) shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but
is not a factor of nst = 144.
2) shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but
is not a factor of nst = 12*24. In fact, it is a greater number.
3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.
So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.
Answer:
Multiplication is commutative.
Step-by-step explanation:
Let n,m be two natural numbers.
We have to show that
We will prove this by induction
For n = 1, we have , which is true.
Let the given statement be true for n-1 natural numbers, that is,
Now, we have to show that it is true for n natural numbers.
which is equal to
Hence, by principal of mathematical induction, the given statement is true for all natural numbers.
Answer:
46. 135°
47. 225°
47. 270°
48. 3/8
49. 3/4
Step-by-step explanation:
