If the temperature of an object is` -40^@F`, then this temperature on the Celsius scale would be

Options

A. `-40^@C`
B. `-50^@C`
C. `-30^@C`
D. `-72^@C`

Explanation

To convert the temperature from Fahrenheit to Celsius, we can use the formula:

\[ C = \frac{5}{9} (F - 32) \]

Where:
- \(C\) is the temperature in Celsius
- \(F\) is the temperature in Fahrenheit

Given that the temperature \(F = -40^\circ F\), we can substitute this value into the formula.

### Step 1: Substitute the value of F into the formula
\[ C = \frac{5}{9} (-40 - 32) \]

### Step 2: Simplify the expression inside the parentheses
\[ C = \frac{5}{9} (-72) \]

### Step 3: Multiply -72 by \(\frac{5}{9}\)
To do this, we can first multiply:
\[ -72 \times 5 = -360 \]

Now divide by 9:
\[ C = \frac{-360}{9} \]

### Step 4: Perform the division
\[ C = -40 \]

### Conclusion
Thus, the temperature of the object in Celsius is:
\[ C = -40^\circ C \]

### Final Answer
The temperature of the object at \(-40^\circ F\) is \(-40^\circ C\).

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