Question
There quantities P,Q and R are such that P varies as the square root of R.Given that P=20 when Q=5 and R=9,find P when Q=7 and R=25
Answers
GPT 3.5
To find the relationship between P, Q, and R, we need to establish the pattern from the given information.
We are told that P varies as the square root of R, which means that P = k√R, where k is a constant.
Substituting the given values, we have:
20 = k√9
20 = 3k
k = 20/3
Now we can find P when Q = 7 and R = 25:
P = (20/3)√25
P = (20/3) * 5
P = (100/3)
P ≈ 33.333
Therefore, when Q = 7 and R = 25, P ≈ 33.333.
We are told that P varies as the square root of R, which means that P = k√R, where k is a constant.
Substituting the given values, we have:
20 = k√9
20 = 3k
k = 20/3
Now we can find P when Q = 7 and R = 25:
P = (20/3)√25
P = (20/3) * 5
P = (100/3)
P ≈ 33.333
Therefore, when Q = 7 and R = 25, P ≈ 33.333.