Question

if A.M;G.M are 9,4 respectively, then H.M is​

Answer 1

The value of HM = 6

Given :

AM , GM are 9 and 4 respectively

To find :

The value of HM

Concept :

The relationship between AM , GM , HM is

HM² = AM × GM

Solution :

Step 1 of 2 :

Write down AM and GM

Here it is given that AM , GM are 9 and 4 respectively

AM = 9

GM = 4

Step 2 of 2 :

Find the value of HM

We know that

HM² = AM × GM

$\displaystyle \sf{ \implies {(HM)}^{2} = 9 \times 4}$

$\displaystyle \sf{ \implies {(HM)}^{2} = 36}$

$\displaystyle \sf{ \implies HM = \sqrt{36} }$

$\displaystyle \sf{ \implies HM = 6 }$

Hence the value of HM = 6

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Answer 2

Answer:

The value of H.M  = $\frac{16}{9}$

Step-by-step explanation:

Given A.M = 9 and G.M = 4

Required to find the value of H.M

The relation between Arithmetic mean Geometric mean, and Harmonic mean is given by

AM × HM = GM²

Solution:

We have AM × HM = GM²

Substitute the value of AM and GM we get

9 × HM = 4²

9 × HM = 16

HM = $\frac{16}{9}$

∴ The value of harmonic mean (H.M) = = $\frac{16}{9}$

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