What temperature is numerically the same in degrees Celsius and degrees Fahrenheit?
http://www.texloc.com/closet/cl_cel_fah_chart.html
Are you sure there is one?
Maybe there is, and maybe not. To find out, start out by remembering that
F = 9/5 C + 32
So, is there a C such that
C = 9/5 C + 32 ?
-4/5 C = 32
C = -40
F(-40) = -40
The temperature at 4am was -7 dergee celcius at the rate of 3 degree celcius per hour until noon, at what time will the temperature be -1? What will the temperature be at 11am?
To find the temperature that is numerically the same in both degrees Celsius and degrees Fahrenheit, we can use the conversion formulas between the two temperature scales.
The conversion formula from Celsius to Fahrenheit is:
°F = (°C × 9/5) + 32
And the conversion formula from Fahrenheit to Celsius is:
°C = (°F - 32) × 5/9
Let's solve for the temperature that is numerically equal in both scales:
Let's assume the temperature is represented as "x" in both degrees Celsius (°C) and degrees Fahrenheit (°F):
To convert this temperature from Celsius to Fahrenheit:
°F = (x × 9/5) + 32
To convert this temperature from Fahrenheit to Celsius:
°C = (x - 32) × 5/9
Since we want the temperature to be numerically equal in both scales, we can set up the equation:
(x × 9/5) + 32 = (x - 32) × 5/9
Now we can solve for x:
Multiply both sides of the equation by 9 to eliminate the fraction:
9(x × 9/5) + 9(32) = 9(x - 32) × 5/9
9(x × 9/5) + 288 = 5(x - 32)
Distribute and simplify:
(81x/5) + 288 = 5x - 160
Multiply through by 5 to eliminate the fraction:
81x + 1440 = 25x - 800
Subtract 25x from both sides:
56x + 1440 = -800
Subtract 1440 from both sides:
56x = -2240
Divide both sides by 56:
x = -40
So, the temperature that is numerically the same in both degrees Celsius and degrees Fahrenheit is -40 degrees.