Final answer:
To convert 5750 K to Fahrenheit, use the formula F = (K - 273.15) × 9/5 + 32, which results in 9890.3°F to five significant figures.
Step-by-step explanation:
To convert a temperature from Kelvin (K) to Fahrenheit (F), you can use the following equation:
F = (K - 273.15) × 9/5 + 32
For the surface temperature of the Sun, which is approximately 5750 K, the calculation would be:
F = (5750 - 273.15) × 9/5 + 32
F = 5476.85 × 9/5 + 32
F = 9858.33 + 32
F = 9890.33
When we round this to five significant figures, we get:
F = 9890.3°F
Remember that it's important to express your answers with the proper units and the correct number of significant figures.