6x – 8y = -94
1 answer:
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Answer: 130.8 degrees
Explanation:
The problem can be solved by using the cosine theorem:
(1)
where
a,b,c are the lengths of the three sides of the triangle
is the angle between b and c
In this problem, we can identify a,b,c, with:
a = XZ = 11.05
b = XY = 6.32
c = YZ = 5.83
So, the angle corresponds to the angle m∠Y. Re-arranging eq.(1), we find
So, the angle is
<h3>Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.