The velocity of sound in air is given by the equation where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.
A. 507ºC
B. 6,535ºC
C. 7,081ºC
D. 67ºC
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OpenStudy (anonymous):
the equation is
v=2o square root of 273 t
OpenStudy (anonymous):
20 sorry
OpenStudy (unklerhaukus):
\[v=20\sqrt{273}T\]
OpenStudy (anonymous):
idk how to solve that equation
OpenStudy (unklerhaukus):
did i type it correctly?
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OpenStudy (anonymous):
yes
OpenStudy (unklerhaukus):
you are asked to solve for T when v=369
\[v=20\sqrt{273}T\]
divide both sides of the equation by 20 sqrt{273}
\[\frac{v}{20\sqrt{273}}=T\]
now replace v with 369
OpenStudy (unklerhaukus):
something is not right,
is the t meant to be inside the square root?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so how do i get the degrees in celcius
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OpenStudy (unklerhaukus):
CAN you draw the equation i still think something is missing,, like a plus or minus
OpenStudy (anonymous):
sorry i forgot you add the t to the square root
OpenStudy (unklerhaukus):
\[v=20 + \sqrt{273 t}\]
OpenStudy (anonymous):
no\[v=20\sqrt{273}+t\]
OpenStudy (anonymous):
does that help
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