at what temperature is the number of degrees celsius equal tio the number of degrees fahrenheit??
In the celsius scale, the difference between the freezing and boiling points of water, at 0 and 100 degrees, is 100 degrees. In the farenheit scale, the freezing point of water is 32 degrees, while the boiling point is 212 degrees, placing the boiling and freezing points of water exactly 180 degrees apart.
Thus, a temperature interval of one degree Fahrenheit is an interval of 5/⁄9 of a degree Celsius, therefore the Fahrenheit and Celsius scales coincide at −40 degrees.
http://www.mathsisfun.com/temperature-conversion.html
Scroll down and check out the chart called Typical Temperatures.
Alternatively use
9/5C +32 =F
so are equal when F=C
9/5C+32=C
32=C-9/5C
32=(5C-9C)/5
160=-4C
-40=C
ans me
To find the temperature at which degrees Celsius (°C) is equal to degrees Fahrenheit (°F), we need to set up an equation and solve for the unknown temperature.
The formula to convert Celsius to Fahrenheit is:
°F = (°C × 9/5) + 32
To find the temperature where °F equals °C, we can substitute °C in place of °F in the formula:
°C = (°C × 9/5) + 32
Now we can solve this equation for °C:
Multiply both sides by 5 to eliminate the fraction:
5°C = (°C × 9) + 160
Expand the equation:
5°C = 9°C + 160
Subtract 9°C from both sides:
5°C - 9°C = 9°C - 9°C + 160
-4°C = 160
Finally, divide both sides by -4 to isolate °C:
-4°C / -4 = 160 / -4
°C = -40
Therefore, at -40 degrees Celsius, the temperature is equal to -40 degrees Fahrenheit.