Apiece of wire 10m long is cut into two pieces. onepiece is
bent into a square and the other is bent into acircle. how should
the wire be cut so that the total areaenclosed is a maximum?
a design for a rectangular bus stop consists of two
squaresides, a back and top. the materials cost $7 per square
footfor the top and $3 per square foot for the sides and theback.
if the volume is to be 1200 cubic feet, find thedimensions that
minimize the cost.

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

In the figure below, triangle rpq is similar to triangle rts. what is the distance between p and q? a. 24 b. 42 c.50 d. 54