In a Certain City the Temperature $7\left(\mathrm{I}_{0} \mathrm{ul}\right)$ Hours After 7 A

In a certain city the temperature $7\left(\mathrm{I}_{0} \mathrm{ul}\right)$ hours after 7 A.M. was modeled by the function $T(t) =45+30 \sin \frac{\pi t}{12}$ Find the average temperature to three decimal places during the period from 7 A.M. to 7 P.M.

A) $59.099^{\circ} \mathrm{F}$
B) $79.099^{\circ} \mathrm{F}$
C) $64.099^{\circ} \mathrm{F}$
D) $128.198 \mathrm{\circ} \mathrm{F}$
E) $74.099^{\circ} \mathrm{F}$