How would I figure this one out?

x = 31.8°

Step-by-step explanation:

We simply have to replace in the sine law with the values that we can see in the problem

the side that corresponds to angle A will always be the one opposite to the angle (it does not touch this angle) and the same with B and C

Law of sines: Sin A / a = Sin B / b = Sin C / c

A = 75°

a = 22cm

B = x

b = 12cm

Sin 75° / 22 = Sin x / 12

(Sin 75° / 22) * 12 = Sin x

Sin ^-1 [(Sin (75°) / 22) * 12] = x

31.79° = x

if we round to the nearest tenth

x = 31.79° = 31.8°

Step-by-step explanation:

Considering the given triangle, to determine b, we would apply the sine rule. It is expressed as

SinA/a = SinB/b = SinC/c

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

Sin x/12 = Sin75/22

Cross multiplying, it becomes

22Sinx = 12 × 0.966 = 11.592

Sinx = 11.592/22 = 0.5269

x = Sin^- 1(0.5269)

x = 31.8 to the nearest tenth

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

answer

false

explanation

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