Question
30. On February 1, the temperature at a ski resort in Montana was \( 6^{\circ} \) Fahrenheit. How many degrees Celsius is this temperature?
Ask by Malone Hall. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The temperature is \( -14.44^{\circ} \) Celsius.
Solution
To convert the temperature from Fahrenheit to Celsius, we can use the formula:
\[ \text{Temperature in Celsius} = \frac{5}{9} \times (\text{Temperature in Fahrenheit} - 32) \]
Given that the temperature in Fahrenheit is \( 6^{\circ} \), we can substitute this value into the formula to find the temperature in Celsius.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{5}{9}\left(6-32\right)\)
- step1: Subtract the numbers:
\(\frac{5}{9}\left(-26\right)\)
- step2: Multiply the numbers:
\(-\frac{5}{9}\times 26\)
- step3: Multiply:
\(-\frac{5\times 26}{9}\)
- step4: Multiply:
\(-\frac{130}{9}\)
The temperature in Celsius is \( -14.44^{\circ} \) Celsius.
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Simplify this solution Extra Insights
To convert from Fahrenheit to Celsius, you can use the formula: \( C = \frac{5}{9}(F - 32) \). Plugging in the temperature of \( 6^{\circ} \) Fahrenheit, you get \( C = \frac{5}{9}(6 - 32) = \frac{5}{9}(-26) \approx -14.44^{\circ} \) Celsius. So, it feels pretty chilly on that ski slope! Have you ever wondered how temperatures were measured before fancy tools came along? The Fahrenheit scale was developed in the early 18th century by Daniel Gabriel Fahrenheit, who used the freezing point of brine and the average human body temperature to set his scale. It’s fascinating how these historical choices still affect the way we discuss temperature today!
