Answer:
x = 17
Step-by-step explanation:
These angles are supplementary so (2x + 5) + (8x = 5) = 180 then you just do the algebra
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Answer:.75x200
Step-by-step explanation:
Divide the number of fast balls by the total number of pitches:
240 / 384 = 0.625
9514 1404 393
Answer:
- red boat distance: 42 miles
- angle at lighthouse: 22°
Step-by-step explanation:
The Law of Cosines can be used to find the distance from the red boat to the lighthouse.
b² = l² +r² -2lr·cos(B)
b² = 18² +30² +2·18·30·cos(120°) = 1764
b = √1764 = 42
The distance from the red boat to the lighthouse is 42 miles.
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The angle at the lighthouse can be found using the law of sines.
sin(L)/l = sin(B)/b
L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°
The angle between the boats measured at the lighthouse is about 22°.