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natali 33 [55]
3 years ago
11

Find terminal points on the unit circle determines by 5pi/3

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (1/2, -√3/2)

Step-by-step explanation:

The coordinates on a unit circle of the intersection of the terminal ray of angle α are ...

  (x, y) = (cos(α), sin(α))

For α = 5π/3, the point on the unit circle is ...

  (x, y) = (cos(5π/3), sin(5π/3)) = (1/2, (-√3)/2)

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7 0
3 years ago
An Olympic sized swimming pool is filled with 660,253 gallons of water. One third of it is left every hour. How much water will
Marina CMI [18]

Answer:

None

Step-by-step explanation:

If 1/3 is left every hour  then it would  then after 3 hours wouldn't it be gone? Most would assume if only a third of the water is left every hour then after three hours there would be either of two answers if the question was written correctly: one third because they refilled it on the 2nd hour or none because it wouldn't even last two hours

3 0
3 years ago
Step 1 -3(3x+5)-6&lt;6
Mnenie [13.5K]
Error is between steps 4 and 5. It should say:

Step 4: -9x < 27
Now divide by -9
Step 5: x > -3
Note that the inequality changes direction.
When you mean multiply or divide an inequality by a negative number, the inequality changes direction.

For example:
4 < 5
Multiply by -1:
-4 > -5

Another example:
-5 < 0
5 > 0
6 0
3 years ago
It takes 8 workers 5 hours to build 2 cars. Assuming they work at the same speed , how long does it take 2 workers to build 8 ca
vodomira [7]

Answer:

80 hours   for 2 workers  to build 8 cars

Step-by-step explanation:

2 cars / 8w *5 hr  =   2 cars / 40 hrs    1 car takes 20 hrs

8 cars * 20 hours = 160 hours required

 two workers split this time    160/2  = 80 hours

8 0
2 years ago
A rectangle with an area of 240 in2 has a length 10 inches shorter than five times its width. Which equation could be used to so
almond37 [142]
L = 5W - 10
5W = L + 10
W = 1/5(L + 10)
Area = L x W
240 = L(1/5(L + 10)
L^2 + 10L = 240(5) = 1200
L^2 + 10L - 1,200 = 0
4 0
3 years ago
Read 2 more answers
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