In fig. 5-36, let the mass of the block be 8.5 kg and the angle θ be 30°. find (a) the tension in the cord and (b) the normal force acting on the block. (c) if the cord is cut, find the magnitude of the resulting acceleration of the block.

i just want to know why you use sin to find the tension and not cos

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?