Answer:
80
Explanation:
To find the value of n when d = 3, we can use the given inverse proportionality relationship between n and d²:
n ∝ 1/d²
This can also be written as:
n = k / d²
where k is a constant of proportionality.
We are given that n = 5 when d = 12. Plugging in these values into the equation, we get:
5 = k / 12²
To solve for k, we can multiply both sides of the equation by 12²:
5 * 12² = k
k = 720
Now that we have the value of k, we can use it to find the value of n when d = 3:
n = k / d²
n = 720 / 3²
n = 720 / 9
n = 80
So, the value of n when d = 3 is 80.