Convert 92 degrees Fahrenheit to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Use one of the formulas given below F = 9/5 C + 32 C = 5/9 (F – 32)
The correct answer and explanation is:
To convert 92 degrees Fahrenheit to degrees Celsius, we use the formula: C=59(F−32)C = \frac{5}{9}(F – 32)
Step-by-step Calculation:
Given: F=92F = 92 C=59(92−32)=59(60)C = \frac{5}{9}(92 – 32) = \frac{5}{9}(60) C=3009≈33.3∘CC = \frac{300}{9} ≈ 33.3^\circ C
Final Answer:
33.3∘C\boxed{33.3^\circ \text{C}}
Explanation (Approx. 300 Words):
Temperature conversion between Fahrenheit and Celsius is commonly needed in science, travel, cooking, and daily weather reports. The Fahrenheit and Celsius scales are two of the most widely used temperature measurement systems. While Fahrenheit is primarily used in the United States and its territories, Celsius is the standard in most of the world, especially for scientific and international use.
To convert from Fahrenheit to Celsius, we use the formula: C=59(F−32)C = \frac{5}{9}(F – 32)
This formula subtracts 32 from the Fahrenheit value to remove the offset between the two scales and then multiplies the result by the fraction 59\frac{5}{9}, which represents the difference in the size of the degrees between the two scales. In the Celsius scale, the interval between the freezing point (0°C) and boiling point (100°C) of water is divided into 100 equal parts. In contrast, the Fahrenheit scale divides the same interval into 180 parts, resulting in a conversion ratio of 59\frac{5}{9}.
In this example, we were given 92°F. First, we subtract 32 from 92, which gives us 60. This step adjusts for the 32-degree offset between the two scales (as 32°F is the freezing point of water). Then, multiplying 60 by 59\frac{5}{9} gives approximately 33.3°C. This final value represents the same temperature in Celsius.
Understanding this conversion is helpful in many real-world contexts, such as interpreting weather forecasts in different countries, converting cooking temperatures, or working with scientific data reported in Celsius.