Aparallelogram is shown below: a parallelogram abcd is shown with dc equal to 3 feet and the perpendicular distance between ab and dc equal to 2 over 3 foot. part a: what is the area of the parallelogram? show your work. (5 points) part b: how can you decompose this parallelogram into two triangles? if this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)

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?

What three-dimensional solid have 6 rectangular faces, 2 equal bases that are not rectangles and 18 edges

Melissa is purchasing a $160,000 home and her bank is offering her a 30-year mortgage at a 4.9% interest rate. in order to lower her monthly payment, melissa will make a 20% down payment and will purchase 3 points. what will her monthly mortgage payment be? a. $645.98 b. $650.46 c. $662.93 d. $606.69