If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End
2 answers:
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:
Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
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So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
The h^2 terms cancel out to = 0
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
The h^2 terms cancel out to = 0