Answer:
t = 24
Step-by-step explanation:
Given that t varies inversely with a then the equation relating them is
t =
← k is the constant of variation
To find k use the condition t = 2 when a = 36, that is
2 =
( multiply both sides by 36 )
72 = k
t =
← equation of variation
Given a = 3, then
t =
= 24
The product of the lengths of the parts of the chord is equal to the product of the lengths of the parts of the chord that divides it.
(7 cm)*(8 cm) = n*(4 cm)
(7*8 cm²)/(4 cm) = n
14 cm = n