emeliasheridan
emeliasheridan emeliasheridan
  • 10-01-2021
  • Mathematics
contestada

d is proportional to S^2
d=900 when s=20

calculate the value of D when S=25

Respuesta :

jimrgrant1 jimrgrant1
  • 10-01-2021

Answer:

d = 1406.25

Step-by-step explanation:

Given d is proportional to s² then the equation relating them is

d = ks² ← k is the constant of proportion

To find k use the condition d = 900 when s = 20

900 = k × 20² = 400k ( divide both sides by 400 )

2.25 = k

d = 2.25s² ← equation of proportion

When s = 25, then

d = 2.25 × 25² = 2.25 × 625 = 1406.25

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