What temperature is $-10 .{ }^{\circ} C$ on the Fahrenheit scale?
$263^{\circ} F$
$14^{\circ} F$
$-18^{\circ} F$
$26^{\circ} F$
$-6.0^{\circ} F$
Answer (2)
To convert Celsius to Fahrenheit, we use the formula F = 5 9 C + 32 .
Substitute C = − 10 into the formula: F = 5 9 ( − 10 ) + 32 .
Calculate the value of F: F = − 18 + 32 = 14 .
The temperature − 1 0 ∘ C is equal to 1 4 ∘ F .
Explanation
Understanding the Problem We are given a temperature in Celsius, − 1 0 ∘ C , and we need to convert it to Fahrenheit.
Conversion Formula The formula to convert Celsius to Fahrenheit is: F = 5 9 C + 32 where F is the temperature in Fahrenheit and C is the temperature in Celsius.
Calculation Substitute C = − 10 into the formula: F = 5 9 ( − 10 ) + 32 F = − 18 + 32 F = 14 So, − 1 0 ∘ C is equal to 1 4 ∘ F .
Final Answer Therefore, the temperature − 1 0 ∘ C is 1 4 ∘ F on the Fahrenheit scale.
Examples
Imagine you are traveling to a country that uses the Fahrenheit scale, but you are used to Celsius. If the weather forecast says it will be − 1 0 ∘ C , you can use the conversion formula to find out what the temperature will be in Fahrenheit. In this case, − 1 0 ∘ C is equal to 1 4 ∘ F . This helps you understand if you need to pack a warm coat or lighter clothing for your trip. Knowing how to convert between temperature scales is useful for travel, cooking, and many other everyday situations.
The temperature − 1 0 ∘ C converts to 1 4 ∘ F using the formula F = 5 9 C + 32 . Thus, the correct answer is 1 4 ∘ F .
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