If sine ⁡theta equals negative 8/17 and the terminal side of theta lies in quadrant iv, find cosine ⁡ theta .

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?