Aquadrilateral region is defined by the system of inequalities below:
y ≤ x + 5 y ≥ x − 4 y ≤ 4 y ≥ − 5 / 4 x − 4
a. sketch the region.
b. determine the vertices of the quadrilateral.
c. which quadrilateral is defined by these inequalities? how can
you prove your conclusion?
d. find the perimeter of the quadrilateral region.
e. find the area of the quadrilateral region

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?

A. what is the area of the base? use complete sentences to explain your reasoning. b. what is the volume of the prism? use complete sentences to explain your reasoning.

Aplane intersects a pris paralel to the base of the prism. the cross section is a polygon wth eight sides. how many sides does the base of the prism have? a. 10 b. 8 c. 7 d. 9