High School

Celsius (1701-1744) developed the Celsius scale. He used this formula to convert from degrees Celsius to degrees Fahrenheit:

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

If the Celsius temperature [tex] (C) [/tex] is [tex] 20^{\circ}C [/tex], what is the Fahrenheit temperature [tex] (F) [/tex]?

Answer :

To convert a temperature from degrees Celsius to degrees Fahrenheit, we use the formula:

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

where [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit, and [tex]\( C \)[/tex] is the temperature in degrees Celsius.

Given that the Celsius temperature [tex]\((C)\)[/tex] is [tex]\(20^{\circ} C\)[/tex], we want to find the corresponding Fahrenheit temperature [tex]\((F)\)[/tex].

Follow these steps to perform the conversion:

1. Identify the Celsius temperature:
- [tex]\( C = 20 \)[/tex]

2. Apply the conversion formula:
- Substitute [tex]\( C \)[/tex] in the formula:
[tex]\[ F = 1.8 \times 20 + 32 \][/tex]

3. Calculate the multiplication:
- [tex]\( 1.8 \times 20 = 36 \)[/tex]

4. Add the result to 32:
- [tex]\( 36 + 32 = 68 \)[/tex]

Thus, the Fahrenheit temperature is [tex]\( 68^{\circ} F \)[/tex].