Answer
$48.3^{\circ}$ F
Work Step by Step
Since September $1$ is Day $244$, we substitute $x=244$ into the following equation and solve using a calculator:
$T(x)=37\sin[\frac{2\pi}{365}(x-101)]+25$
$T(x)=37\sin[\frac{2\pi}{365}(244-101)]+25$
$T(x)=37\sin[\frac{2\pi}{365}(143)]+25$
$T(x)=37\sin[2.462]+25$
$T(x)=37(0.6285)+25$
$T(x)=23.25+25$
$T(x)=48.25\approx48.3^{\circ}$ F