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Ostrovityanka [42]
2 years ago
8

A and B are positive numbers.A is inversely proportional to B.When A = 4, B = 36.Find the value of A when B = A

Mathematics
1 answer:
solmaris [256]2 years ago
3 0

Answer:

A = 12

Step-by-step explanation:

Given A is inversely proportional to B then the equation relating them is

A = \frac{k}{B}

To find k use the condition when A = 4, B = 36 , then

4 = \frac{k}{36} ( multiply both sides by 36 )

144 = k

A = \frac{144}{B} ← equation of variation

When B = A , then

A = \frac{144}{A} ( multiply both sides by A )

A² = 144 ( take square root of both sides )

A = ± \sqrt{144} = ± 12

Since A is a positive number then A = 12

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