The formula F = 1.8C + 32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equation for C to produce a formula for finding the Celsius temperature for a given Fahrenheit temperature

Respuesta :

Answer:

The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:

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

Step-by-step explanation:

Given formula:

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

where [tex]F[/tex] represents temperature in Fahrenheit and [tex]C[/tex] represents  temperature in Celsius.

To solve the equation for [tex]C[/tex].

Solution:

We have,

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

Subtracting both sides by 32.

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

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

Dividing both side by 1.8

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

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

∴ [tex]C=\frac{F-32}{1.8}[/tex]

Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.

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