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d) -40°f = ______ °c

Question

d) -40°f = ______ °c

Explanation:

Step1: Recall the formula to convert Fahrenheit to Celsius

The formula to convert temperature from Fahrenheit (\(^{\circ}\text{F}\)) to Celsius (\(^{\circ}\text{C}\)) is \(^{\circ}\text{C}=\frac{5}{9}(^{\circ}\text{F} - 32)\).

Step2: Substitute the given Fahrenheit value into the formula

We are given \(^{\circ}\text{F}=- 40\). Substitute this into the formula:
\(^{\circ}\text{C}=\frac{5}{9}(-40 - 32)\)
First, calculate the value inside the parentheses: \(-40-32=-72\)
Then, multiply by \(\frac{5}{9}\): \(\frac{5}{9}\times(-72)=5\times(-8)=- 40\)

Answer:

\(-40\)