Respuesta :
Answer:
The formula for A is [tex]A=\frac{G^2}{H}[/tex]
The formula for H is [tex]H=\frac{G^2}{A}[/tex]
Step-by-step explanation:
Consider the provided information.
We need to rewrite the formula to A and H.
The geometric mean formula is [tex]G= \sqrt{AH}[/tex]
Where, G is the geometric mean, A is the arithmetic mean, and H is the harmonic mean.
Now we need to rewrite the formula for A and H.
Solve for A.
[tex]G= \sqrt{AH}[/tex]
Squaring both sides.
[tex]G^2= AH[/tex]
Divide both the sides by H.
[tex]A=\frac{G^2}{H}[/tex]
Hence, the formula for A is [tex]A=\frac{G^2}{H}[/tex]
Solve for H.
[tex]G= \sqrt{AH}[/tex]
Squaring both sides.
[tex]G^2= AH[/tex]
Divide both the sides by A.
[tex]H=\frac{G^2}{A}[/tex]
Hence, the formula for H is [tex]H=\frac{G^2}{A}[/tex]
