La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
Answer:
Denote AH as height of triangle ABC, with H lies on BC.
Applying sine theorem:
AH/AC = sin 60
=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7
=> Area of triangle ABC is calculated by:
A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611
=> Option C is correct.
Hope this helps!
:)
Answer:
P = 328 yards
Step-by-step explanation:
formula is P= 2l + 2w

The theoretical probability of getting heads or tails is 1/2 the time.
1/2 of 150 = 75
So theoretically you would get 75 heads and 75 tails.
The experiment got 84 heads, which is greater than 75, so it would be higher than the theoretical probability.
The answer is : <span>It is 6% higher than the theoretical probability.</span>