Final answer:
The temperature of 110°F is equal to 43.33°C, and a 40.0°F decrease in temperature converts to a 22.22°C decrease. Any change in Fahrenheit is nine-fifths of the change in Celsius.
Step-by-step explanation:
The temperature of 1100F is equal to 43.33C (rounded to two decimal places). The conversion formula from Fahrenheit to Celsius is C = (F - 32) × 5/9. Applying this formula: C = (110 - 32) × 5/9 = 78 × 5/9 ≈ 43.33C.
Now, regarding the temperature decrease, if there is a 40.0°F decrease in temperature, the decrease in Celsius would be (40 × 5/9) °C which equals 22.22°C (rounded to two decimal places).
To show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees: Let ΔF represent the change in Fahrenheit and ΔC represent the change in Celsius, ΔF = (ΔC × 9/5). If ΔC = 1°C then ΔF = 1.8°F, which is the same as 9/5.