If a and b are inversely proportional, a = 9 when b= 8, find b when a = 12.
Answers
Answer:
Step-by-step explanation:
Ello
A is inversely proportional to the cube of B
⇒ A = k/B³ where k is a constant
Find k:
When A = 3, B = 2
3 = k/2³
k = 3 x 2³
k = 24
Therefore the equation is A = 24/B³
Find the value of B when A = 8/9 :
A = 24/B³
8/9 = 24/B³
8B³ = 24 x 9
8B³ = 216
B³ = 216 ÷ 8
B³ = 27
B = ∛27
B = 3
Answer: The value of B is 3.
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Answer:
B = 3
Step-by-step explanation:
Given,
A is inversely proportional to the cube of B
Then, A = 1/ B³
⇒ A = k/B³ where k is a constant
Finding k:
When A = 3, B = 2
3 = k/2^3
k = 3 x 8
k = 24
Therefore the equation is A = 24/B³
Find the value of B when A = 8/9 :
A = 24/B³
8/9 = 24/B³
8B³ = 24 × 9
8B³ = 216
B³ = 216 ÷ 8
B³ = 27
B = ∛27
B = 3
Answer: The value of B is 3.