The formula for converting a temperature in degrees Celsius to degrees Fahrenheit is F(C)= C + 32. The inverse function will convert a temperature in degrees Fahrenheit to degrees Celsius. What is the formula for converting from degrees Fahrenheit to degrees Celsius? C(F) = F -

Respuesta :

Answer:

C(F) =  5/9

F –  2  ⇒ 160/9.

Step-by-step explanation:

edg 2020

The formula for converting from degrees Fahrenheit, is an illustration of change of subject of formula, and the formula is: [tex]S =\sqrt{2A}[/tex]

Given that:

[tex]F(C) = 1.8C + 32[/tex]

Rewrite as:

[tex]F = 1.8C + 32[/tex]

Subtract 32 from both sides

[tex]F - 32 = 1.8C[/tex]

Divide both sides by 1.8

[tex]\frac{F - 32}{1.8} = C[/tex]

Rewrite as:

[tex]\frac{F - 32}{18/10} = C[/tex]

So, we have:

[tex]10 \times \frac{F - 32}{18} = C[/tex]

Simplify

[tex]5 \times \frac{F - 32}{9} = C[/tex]

[tex]\frac{5(F - 32)}{9} = C[/tex]

Rewrite the equation as:

[tex]C = \frac{5(F - 32)}{9}[/tex]

Hence, the formula that converts from degrees Fahrenheit is: [tex]C(F) = \frac{5(F - 32)}{9}[/tex]

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