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ser-zykov [4K]
3 years ago
7

I really need help with this question!

Mathematics
1 answer:
Bingel [31]3 years ago
6 0
I would convert -2pi / 3 to degrees first by multiplying by 180degrees / pi. It equals 120 degrees.

120 degrees is in quadrant II, which is 90 degrees plus 30 degrees. It is 60 degrees from the 180 degrees. 
So the reference triangle you use is 60 degrees.
Cos60 = 0.5
sin60 = sqrt(3) /2

But in quadrant II the only trig ratio that's positive is sin; all others are negative. 
So cos120 = -0.5
sin60 = sqrt(3) /2

<span>Keeping in mind that points on unit circle are (cos, sin), the point is </span>(-0.5, <span>sqrt(3) /2).
</span>
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3 years ago
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g100num [7]

Answer:

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Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

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Now multiply all the factors the maximum number of times they appear:

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(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

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3 years ago
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melomori [17]
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