A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue Each face is equally likely to and facup when the die is tossed in the game, player to the den ble lands faceup, and the number of fosses before blue and face is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before burlands face 1 2 4 Toss number Face color yellow yellow red blue What is the probability that a player wil toss the die at least 2 times before blue landsfe?

Simplify a7/a4 a) 1/a3 b)-a/a2 c)a4/a3 d)a3

Are the corresponding angles congruent? explain why or why not.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?