Write the Word or Phrase That Best Completes Each Statement $\mathrm { T }$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-The average daily temperature $\mathrm { T }$ of a city in the United States is approximated by
$$\mathrm { T } = 55 - 23 \cos \frac { 2 \pi } { 365 } ( \mathrm { t } - 30 )$$
where $t$ is in days, $1 \leq t \leq 365$ , and $t = 1$ corresponds to January 1 . For what range of values of $t$ is the average dail temperature above $70 ^ { \circ } \mathrm { F }$ ? Use a calculator and round answers to the nearest whole number.