Two hallways, one of
width 3 feet, the other of width 4 feet, meet at a right angle.
See the illustration below.

(a) Express the length L of the line segment shown as a
function of the angle (-).

(b) Discuss why the length of the longest ladder that can be
carried around the corner is equal to the smallest value of L.

Describe what moves you could use to create the transformation of the original image shown at right

The figure below shows rectangle abcd and the triangle eca on a coordinate plane. which of the following expressions represents the perimeter of triangle of triangle eca in units

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.