9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
__
A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
__
14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
Answer:
Probability of the day to be a snow day is 0.34
Step-by-step explanation:
We have the data,
Out of 21 which had less than 3 inches of snow, 5 were snow days.
Out of 8 days which had more than 3 inches of snow, 6 were snow days.
So, we get,
Total number of days = 21 + 8 = 29
Total number of snow days = 5 + 6 = 11
Thus, the probability that the day will be a snow day is i.e. 0.34
Hence, the probability of the day to be a snow day is 0.34.