Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1.

cosθ=

Given a(-12,5) and b(12,29) find the point that divides the line segment ab three-eighths of the way from a to b

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

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?