17enash 17enash

24-01-2021
Mathematics

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F is inversely proportional to d squared. When F = 16 , d = 3 Work out d (positive value rounded to 2 DP) when F = 8

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clarch19 clarch19

24-01-2021

Answer:

d = 3√2

Step-by-step explanation:

find the constant of variation ('k'): F = k/d²

16 = k/3²

16 = k/9

k = 144

8 = 144/d²

d² = 144/8

d² = 18

d = √9 · √2

d = 3√2

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