Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?
a. cot α + cot β
b. tan β + tan α
c. tan α + tan β
d. -tan α + cot β

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Having a hard time understanding this question (see attachment).

One side of a rectangle is 7 centimeters shorter than six times the other side. find the length of the longer side if we also know that the perimeter of the rectangle is 266 centimeters.