Find the measure of ⦨ R . Round to nearest whole degree. Choose which method to use: Law of Sines or Use Law of Cosines.

Law of sine

Angle R = 34°

Step-by-step explanation:

From the question given above, the following data were obtained:

Side opposite angle Q (q) = 54 ft

Angle Q = 96 °

Side opposite angle R (r) = 30 ft

Angle R =?

The value of angle R can be obtained by using the law of sine as illustrated below:

r / Sine R = q / Sine Q

30 / Sine R = 54 / Sine 96

Cross multiply

54 × Sine R = 30 × Sine 96

54 × Sine R = 30 × 0.9945

54 × Sine R = 29.835

Divide both side by 54

Sine R = 29.835 / 54

Sine R = 0.5525

Take the inverse of Sine

R = Sine¯¹ 0.5525

R = 34°

Thus, the value of angle R is 34°

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72