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.

### Step 1: Substitute the given Fahrenheit temperature into the formula
Given that the temperature is \(-40^\circ F\), we substitute \(F\) with \(-40\):

\[ C = \frac{5}{9} (-40 - 32) \]

### Step 2: Simplify the expression inside the parentheses
Now, we simplify the expression inside the parentheses:

\[ -40 - 32 = -72 \]

So, we have:

\[ C = \frac{5}{9} (-72) \]

### Step 3: Multiply by \(\frac{5}{9}\)
Next, we multiply \(-72\) by \(\frac{5}{9}\):

\[ C = \frac{5 \times -72}{9} \]

### Step 4: Calculate the multiplication
Calculating the multiplication:

\[ 5 \times -72 = -360 \]

So we have:

\[ C = \frac{-360}{9} \]

### Step 5: Divide to find the Celsius temperature
Now, we divide \(-360\) by \(9\):

\[ C = -40 \]

### Conclusion
Thus, the temperature of the object in Celsius is:

\[ C = -40^\circ C \]

### Final Answer
The temperature of \(-40^\circ F\) is equivalent to \(-40^\circ C\).

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