michelle5821
michelle5821 michelle5821
  • 04-03-2020
  • Mathematics
contestada

78 is the geometric mean of 30 and what number

Respuesta :

jimrgrant1 jimrgrant1
  • 04-03-2020

Answer:

202.8

Step-by-step explanation:

The geometric mean of 2 numbers a and b is

[tex]\sqrt{ab}[/tex]

Here a = 30 and mean = 78, thus

[tex]\sqrt{30b}[/tex] = 78

To clear the radical square both sides

([tex]\sqrt{30b}[/tex] )² = 78², that is

30b = 6084 ( divide both sides by 30 )

b = [tex]\frac{6084}{30}[/tex] = 202.8

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