imoan110
Answered

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If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324

Sagot :

Answer:

c = 31.5

Step-by-step explanation:

Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is

c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation

To find k use the condition c = 14 when d = 64, then

14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

1.75 = k

c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation

When d = 324 , then

c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5

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