College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Convert the following temperatures from Fahrenheit to Celsius.

10. [tex]$98.6^{\circ} F$[/tex]

11. [tex]$32^{\circ} F$[/tex]

Answer :

To convert temperatures from Fahrenheit to Celsius, we use the formula:

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

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

1. Converting [tex]\( 98.6^{\circ} F \)[/tex] to Celsius:

- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 98.6 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (98.6 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 98.6 - 32 = 66.6 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 66.6 = 37.0 \][/tex]

So, [tex]\( 98.6^{\circ} F \)[/tex] is equal to [tex]\( 37.0^{\circ} C \)[/tex].

2. Converting [tex]\( 32^{\circ} F \)[/tex] to Celsius:

- Start with the formula: [tex]\( C = \frac{5}{9} \times (F - 32) \)[/tex]
- Substitute 32 for [tex]\( F \)[/tex]:
[tex]\[ C = \frac{5}{9} \times (32 - 32) \][/tex]
- Calculate the expression inside the parentheses:
[tex]\[ 32 - 32 = 0 \][/tex]
- Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C = \frac{5}{9} \times 0 = 0.0 \][/tex]

So, [tex]\( 32^{\circ} F \)[/tex] is equal to [tex]\( 0.0^{\circ} C \)[/tex].

Therefore, the conversions are:
- [tex]\( 98.6^{\circ} F \)[/tex] converts to [tex]\( 37.0^{\circ} C \)[/tex].
- [tex]\( 32^{\circ} F \)[/tex] converts to [tex]\( 0.0^{\circ} C \)[/tex].