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The formula
F = 1.8C + 32 gives the temperature
in degrees Fahrenheit (F ) for a given
temperature in degrees Celsius (C ). There is
one temperature for which the number of
degrees Fahrenheit is equal to the number
of degrees Celsius. Write an equation you
can solve to find that temperature and
then use it to find the temperature

Respuesta :

AL2006

Yes, that's an interesting exercise.

The Celsius temp is  ' C ' .

The Fahrenheit temp is    1.8C + 32

If they're the same number, then       C = 1.8C + 32

Subtract  1.8C  from each side:  -0.8C =             32

Multiply each side by  -1 :            0.8C =            -32

Divide each side by  0.8 :                  C =          -32/0.8  =  -40 .

       -40°F  and  -40°C  are the same temperature.

Answer:

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

40° is  the temperature  for which the number of  degrees Fahrenheit is equal to the number  of degrees Celsius.

Step-by-step explanation:

Given : F = 1.8C + 32 gives the temperature  in degrees Fahrenheit (F ) for a given  temperature in degrees Celsius (C ).

To Find: There is  one temperature for which the number of  degrees Fahrenheit is equal to the number  of degrees Celsius. Write an equation you  can solve to find that temperature and  then use it to find the temperature.

Solution :

Given Formula :  F = 1.8C + 32

If number of  degrees Fahrenheit is equal to the number  of degrees Celsius

Then , [tex]C = 1.8C + 32[/tex]

⇒ -0.8C =32

⇒[tex]C = \frac{-32}{0.8}[/tex]

⇒[tex]C = 40^{\circ}[/tex]

Thus The equation we can use to find the temperature  for which the number of  degrees Fahrenheit is equal to the number  of degrees Celsius:

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

40° is  the temperature  for which the number of  degrees Fahrenheit is equal to the number  of degrees Celsius.

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