Determine the general solution: sin 2x=-1/2

1 answer:

8 0

as sin (11pi/6) = -1/2

so

2x= 7pi/6+2npi
and

2x= 11pi/6 + 2npi

solve both of them for x and you will get your answer

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The equivalent expression for 4g+2 using distributive property

Mars2501 [29]

Answer:

2(2g+1)

Explanation:

4g and 2 goes into 2

divide by 2

4g/2=2g

2/2=1

5 0

3 years ago

A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing

leva [86]

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.