Temperature affects the speed of sound. The speed (v) of sound near Earth's surface, in

meters per second, is given by v = 20vt + 273, where t stands for the temperature of

the air in degrees Celsius. If the speed of sounds is 300 meters per second, what is the

temperature in degrees Celsius?

The temperature in degrees Celsius is - 48°C.

Step-by-step explanation:

The given equation is:

v = 20√[t + 273]

Therefore, rearranging we get:

(v / 20) ² = t + 273

t = (v / 20) ² - 273

but the speed of sound, v, is equal to 300 m/s

Therefore,

t = (300 / 20) ² - 273

t = - 48°C

Therefore, the temperature in degrees Celsius is - 48°C.