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Svet_ta [14]
3 years ago
9

If t varies inversely with a and t is 2 when a is 36 what is t when s is 3

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

t = 24

Step-by-step explanation:

Given that t varies inversely with a then the equation relating them is

t = \frac{k}{a} ← k is the constant of variation

To find k use the condition t = 2 when a = 36, that is

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

72 = k

t = \frac{72}{a} ← equation of variation

Given a = 3, then

t = \frac{72}{3} = 24

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