The formula
F=(9/5)C+ 32
F=95C+32 may be used to convert Celsius temperatures to Fahrenheit temperatures.
What is the range of Celsius temperatures if the Fahrenheit range is -65°F to 60°F.
-65 <= F <= 60
-65 <= 9/5 C + 32 <= 60
-97 <= 9/5 C <= 28
-53.89 <= C <= 15.56
To determine the range of Celsius temperatures corresponding to the given Fahrenheit range, we need to rearrange the formula to solve for C.
The formula F = (9/5)C + 32 can be rewritten as:
(9/5)C = F - 32
To isolate C, we divide both sides of the equation by (9/5):
C = (F - 32) * (5/9)
Now, we substitute the given Fahrenheit values into the formula to calculate the corresponding Celsius temperatures.
For the lower end of the range, -65°F:
C = (-65 - 32) * (5/9)
C = (-97) * (5/9)
C ≈ -54.4°C
For the upper end of the range, 60°F:
C = (60 - 32) * (5/9)
C = 28 * (5/9)
C ≈ 15.6°C
Therefore, the range of Celsius temperatures corresponding to the Fahrenheit range of -65°F to 60°F is approximately -54.4°C to 15.6°C.
To find the range of Celsius temperatures corresponding to a Fahrenheit range, you need to convert the given Fahrenheit temperatures to Celsius using the formula:
F = (9/5)C + 32
Let's start by finding the Celsius temperature corresponding to -65°F:
-65 = (9/5)C + 32 (Substitute -65 for F in the formula)
Now, let's solve for C:
-65 - 32 = (9/5)C
-97 = (9/5)C
To isolate C, multiply both sides of the equation by (5/9):
(-97)(5/9) = C
-485/9 ≈ -53.89
So, the Celsius temperature corresponding to -65°F is approximately -53.89°C.
Now, let's find the Celsius temperature corresponding to 60°F:
60 = (9/5)C + 32 (Substitute 60 for F in the formula)
Again, let's solve for C:
60 - 32 = (9/5)C
28 = (9/5)C
To isolate C, multiply both sides of the equation by (5/9):
(28)(5/9) = C
140/9 ≈ 15.56
So, the Celsius temperature corresponding to 60°F is approximately 15.56°C.
Therefore, the range of Celsius temperatures corresponding to the given Fahrenheit range (-65°F to 60°F) is approximately -53.89°C to 15.56°C.