Answer :
The equivalent of -25 degrees Fahrenheit in degrees Celsius is a) -32 degrees Celsius.
To convert -25 degrees Fahrenheit to degrees Celsius, we can use the formula:
[tex]C = \frac{5}{9}(F - 32)[/tex]
Where [tex]F[/tex] is the temperature in Fahrenheit and [tex]C[/tex] is the temperature in Celsius.
Let's substitute [tex]-25[/tex] for [tex]F[/tex] in the formula:
[tex]C = \frac{5}{9}(-25 - 32)[/tex]
First, calculate the term in the parentheses:
[tex]-25 - 32 = -57[/tex]
Now the equation looks like this:
[tex]C = \frac{5}{9}(-57)[/tex]
Next, we multiply:
[tex]C = -\frac{285}{9}[/tex]
Now, perform the division:
[tex]C = -31.6667[/tex]
Rounding this to the nearest whole number gives us [tex]-32[/tex] degrees Celsius.
Final answer:
The equivalent of -25 degrees Fahrenheit in Celsius, when calculated using the appropriate conversion formula and rounded to the nearest whole number, is -32 degrees Celsius. Hence, the correct answer is option (a).
Explanation:
The equivalent of -25 degrees Fahrenheit in Celsius can be calculated using the formula C = 5/9(F-32). Plugging the value of -25 for F into the formula gives us:
C = 5/9(-25 - 32)
C = 5/9(-57)
C = -31.666...
To the nearest whole number, -25 degrees Fahrenheit is equivalent to -32 degrees Celsius.
Therefore, the correct answer is (a) -32 degrees Celsius.