Convert 45 degrees Fahrenheit to Celsius. Use the formula F-32= 45 divided by 1.8.
A. 7.2°C
B. 0.2°C
C. 15°C
D. -4.4°C
The Correct Answer and Explanation is:
To convert 45 degrees Fahrenheit (°F) to Celsius (°C), we can use the formula:
[
C = \frac{(F – 32)}{1.8}
]
In this case, ( F = 45 ). Plugging in this value into the formula gives:
[
C = \frac{(45 – 32)}{1.8}
]
First, we perform the subtraction in the numerator:
[
45 – 32 = 13
]
Now, we substitute this back into the equation:
[
C = \frac{13}{1.8}
]
Next, we perform the division:
[
C \approx 7.2222
]
For practical purposes, this is typically rounded to one decimal place, yielding:
[
C \approx 7.2
]
Thus, the conversion of 45 degrees Fahrenheit results in approximately 7.2 degrees Celsius.
Explanation
Understanding how to convert temperatures between Fahrenheit and Celsius is essential in various fields, including healthcare, meteorology, and cooking, as different regions utilize different temperature scales. The Fahrenheit scale is primarily used in the United States, while Celsius is prevalent in most other countries.
The formula ( C = \frac{(F – 32)}{1.8} ) illustrates the mathematical relationship between the two temperature scales. Here, we first subtract 32 from the Fahrenheit value, which accounts for the different zero points of the two scales. For instance, 32°F corresponds to the freezing point of water, whereas 0°C represents the same temperature.
Next, dividing by 1.8 adjusts for the scale’s differences in magnitude, as the increments of 1°C represent larger changes than 1°F. This conversion process is linear, meaning each degree change in one scale corresponds to a consistent degree change in the other.
In summary, by applying the formula, we determined that 45°F is approximately 7.2°C, making the correct answer A. 7.2°C. This method can be employed for any temperature conversion between the two scales.