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Answer :
To convert a temperature from Celsius to Fahrenheit, we use the formula:
[tex]\[ F = (9C + 5) + 32 \][/tex]
where [tex]\( C \)[/tex] is the temperature in degrees Celsius and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
Step-by-step solution:
1. Identify the Celsius temperature: We are given that the temperature is [tex]\( 80^\circ \)[/tex] Celsius.
2. Apply the formula: Plug [tex]\( C = 80 \)[/tex] into the formula:
[tex]\[
F = (9 \times 80 + 5) + 32
\][/tex]
3. Perform the calculations:
- First, multiply 9 by 80: [tex]\( 9 \times 80 = 720 \)[/tex]
- Then add 5: [tex]\( 720 + 5 = 725 \)[/tex]
- Lastly, add 32: [tex]\( 725 + 32 = 757 \)[/tex]
Therefore, when the temperature is [tex]\( 80^\circ \)[/tex] Celsius, it is [tex]\( 757^\circ \)[/tex] Fahrenheit. Since this result does not match any of the given options (a) [tex]$176^{\circ}$[/tex], (c) [tex]$150.4^{\circ}$[/tex], (d) [tex]$201.6^{\circ}$[/tex], it appears that there might be a mistake in the provided options or calculations.
[tex]\[ F = (9C + 5) + 32 \][/tex]
where [tex]\( C \)[/tex] is the temperature in degrees Celsius and [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
Step-by-step solution:
1. Identify the Celsius temperature: We are given that the temperature is [tex]\( 80^\circ \)[/tex] Celsius.
2. Apply the formula: Plug [tex]\( C = 80 \)[/tex] into the formula:
[tex]\[
F = (9 \times 80 + 5) + 32
\][/tex]
3. Perform the calculations:
- First, multiply 9 by 80: [tex]\( 9 \times 80 = 720 \)[/tex]
- Then add 5: [tex]\( 720 + 5 = 725 \)[/tex]
- Lastly, add 32: [tex]\( 725 + 32 = 757 \)[/tex]
Therefore, when the temperature is [tex]\( 80^\circ \)[/tex] Celsius, it is [tex]\( 757^\circ \)[/tex] Fahrenheit. Since this result does not match any of the given options (a) [tex]$176^{\circ}$[/tex], (c) [tex]$150.4^{\circ}$[/tex], (d) [tex]$201.6^{\circ}$[/tex], it appears that there might be a mistake in the provided options or calculations.
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