Question

The speed of sound V near the Earth's surface can be represented by this equation, v=20sqrt t +273 , where t is the temperature in degrees Celsius. Find the temperature when V = 380 meters per second. Round to the nearest whole number.

Answer 1

if we solve for "t" and input V we should be able to get it

Answer 2

assuming V = v that is

Answer 3

\[v=20\sqrt{t}+273\]

\[v-273=20\sqrt{t}+273-273\]
\[v-273=20\sqrt{t}+273-273\]
\[\frac{v-273}{20}=\frac{20\sqrt{t}+273-273}{20}\]
\[\left(\frac{v-273}{20}\right) ^2=\left(\frac{20\sqrt{t}+273-273}{20}\right)^2\]