Evaluate the expression given cos a=4/5 for 0<a<pi/2 and sin b=-15/17 for 3pi/2<b<2pi. SHOW WORK 1.sin(a+b)
answer must equal -36/85

2.cos(a-b)
answer must equal -13/85

3.tan(a+b)
answer must equal -36/77

4.tan(a-b)
answer must equal -84/13

The diameter of a ball is 8 in. what is the volume of the ball? use 3.14 for pi. enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

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Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?