Answer:
1.59 change
Step-by-step explanation:
2.78*2=5.56
5.56+2.85=8.41
10.00-8.41=1.59
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A right angles is 90 degrees, which means that 90-55= x
x = 35 degrees
The volume of a cone is 1/3 pi r^2 h. So by substitution, V = 1/3 of 80pi which simplifies to V=26.667pi, which when multiplied out, provides the answer V = 83.8 cubic meters.
Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
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<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.