A planet has a surface temperature of \( 812^{\circ} \) Fahrenheit. What is this temperature in degrees Celsius? The formula used to convert from Fahrenheit (F) to Celsius (C) is \( \mathrm{C}=\frac{5}{9}(F-32) \). (Use integers or fractions for any numbers in the equation.) \( 812^{\circ} \) Fahrenheit \( =\square^{\circ} \) Celsius (Type an integer or a decimal rounded to the nearest hundredth as needed.)
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The Deep Dive
To convert \( 812^{\circ} \) Fahrenheit to Celsius using the formula \( \mathrm{C}=\frac{5}{9}(F-32) \): 1. Start by plugging in \( F = 812 \): \[ \mathrm{C}=\frac{5}{9}(812-32) \] \[ \mathrm{C}=\frac{5}{9}(780) \] 2. Now, multiply: \[ \mathrm{C}=\frac{3900}{9} \approx 433.33 \] So, \( 812^{\circ} \) Fahrenheit is approximately \( 433.33^{\circ} \) Celsius. Further, did you know that the Celsius and Fahrenheit scales were named after the scientists Andreas Celsius and Daniel Gabriel Fahrenheit? Celsius, invented in 1742, originally had his scale set with 0 degrees as the freezing point of water and 100 degrees as the boiling point, but it was inverted and standardized later! Also, in real-world applications, knowing how to convert temperature is crucial for various fields, from meteorology to cooking! For instance, if you’re baking a cake and a recipe calls for baking at 400°F, but your oven only shows Celsius, you'd need to convert it to make sure your cake doesn’t turn out like a rock!
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