Answer:
14.8
Step-by-step explanation:
The Pythagorean theorem applies.
... x² = 7² + 13² . . . . . the square of the hypotenuse is the sum of the squares of the legs
... x² = 218
... x = √218 ≈ 14.8
Answer:
3)
Step-by-step explanation:
X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines
There are 256 possible combinations of fireworks, if they can be repeated in each 4 firework combinations.
If they cannot be repeated, there are 24 possible combinations.
Answer: Choice B

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Explanation:
The original equation is
with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.
The general rule is that
is equivalent to the log form of
where b is the base of each.
3 years ago:
m - 3 = 3(b - 3)
m - 3 = 3b - 9
m + 6 = 3b
m/3 + 2 = b
5 years from now:
m + 5 = 2(b + 5)
m + 5 = 2b + 10
m - 5 = 2b
m/2 - 5/2 = b
combine:
m/3 + 2 = m/2 - 5/2
1. multiply by 6
2m + 12 = 3m - 15
2. add 15 - 2m to both sides
27 = m
Marry is 27 years old.