The letters N, T, and O are arranged in a random order. What is the probability that the arrangement spells a three-letter word. Express your answer as a simplified fraction.

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Consider the first four terms of the sequence below. what is the 8th term of this sequence?