In triangle ABC, m∠B = 55, m∠C = 100, and AC = 6. To the nearest tenth, what is the length of AB¯¯¯¯¯¯

|AB|= 7.2 to the nearest tenth

Step-by-step explanation:

If <ACB=100 degrees, <ABC=55 degrees and |AC|=6,

REFER TO THE DIAGRAM 1.1 ATTACHED

In a triangle, the angles are labelled using capital letters and the opposite corresponding sides by small letters as seen in Diagram 1.2.

The Sine and Cosine rule are used to find missing length and angles in triangles.

The Sine Rule is used when we are given two lengths and an angle opposite one of the given lengths or two angles and a side.

The Cosine rule is used when the Sine Rule fails.

The Sine Rule is:

a/Sin A= b/Sin B = c/Sin C

Hence |AC|=b, |AB|=c

b/Sin B = c/Sin C

6/sin 55= c/sin 100

Cross Multiplying

c* sin 55 = 6* sin 100

c= (6* sin 100)/sin 55

|AB|=c = 7.21336967816

|AB|= 7.2 to the nearest tenth

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: