The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.

so we just need to plug in our values and solve
[tex]v = 20 \sqrt{273 + t} [/tex]
we are given v is 369 so we have
[tex]369 = 20 \sqrt{273 + x} [/tex]
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
[tex]369 = 20 \sqrt{273 + x} \\ 18.45 = \sqrt{273 + x} \\ 340.40 = 273 + x \\ x = 67.4[/tex]
so a temp of about 67 degrees C