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Answer :
Final answer:
Negative 40 degrees Celsius is the same as negative 40 degrees Fahrenheit, the unique point where both temperature scales intersect. A 40.0°F decrease in temperature corresponds to a 22.2°C decrease, demonstrating the nine-fifths relationship between Fahrenheit and Celsius changes.
Explanation:
Negative 40 degrees Celsius is equivalent to negative 40 degrees Fahrenheit. This is the unique point where the Celsius and Fahrenheit scales intersect, meaning -40°C is the same temperature as -40°F. When converting a change in temperature, it is important to note that a change in Fahrenheit is nine-fifths the change in Celsius degrees.
Therefore, if a temperature decreases by 40.0°F, the decrease in Celsius would be 40.0°F × (5⁄9) which equals 22.2°C. This shows the relation that a change in Fahrenheit temperature is 1.8 times (or nine-fifths) the change in Celsius temperature.
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Rewritten by : Barada
To convert negative 40 degrees Celsius to Fahrenheit, you can use the conversion formula:
[tex]F = \left( \frac{9}{5} \times C \right) + 32[/tex]
where [tex]F[/tex] is the temperature in degrees Fahrenheit and [tex]C[/tex] is the temperature in degrees Celsius.
Let's plug [tex]C = -40[/tex] into the formula:
[tex]F = \left( \frac{9}{5} \times -40 \right) + 32[/tex]
First, calculate [tex]\frac{9}{5} \times -40[/tex]:
[tex]\frac{9}{5} \times -40 = -72[/tex]
Now, add 32 to [tex]-72[/tex]:
[tex]F = -72 + 32 = -40[/tex]
Thus, [tex]-40[/tex] degrees Celsius is equivalent to [tex]-40[/tex] degrees Fahrenheit. Interestingly, this is a unique point where the Celsius and Fahrenheit temperatures are the same.
