Answer:
-√2
Step-by-step explanation:
For the typing purpose I replaced θ with n in the calculation

Answer:
L = 22 ft
Step-by-step explanation:
Let L and W represent the length and width respectively.
L = 4W, or W = L/4. Use W = L/4 because we want to solve for W, not for L.
Area of a rectangle: A = L · W
Here, A = L · L/4 = 121 ft²
Mult. both terms by 4 removes the fraction:
L² = 484
Finding the square root of this result: L = 22
The length of the rect. is 22 ft.
Answer:
495 feet
Step-by-step explanation:
tan22° = 200/d
so, d = 200/tan22°
Then, d = 495.0173707 => 495 feet to the nearest foot
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Answer:
17. 50
18. 150
19. 240
20. 20
21. 60
22. 240
23. 150
24. -240
25. 222
26. 75
27. 300
28. 340
29. 175
30. 265
31. 298
32. 118
Step-by-step explanation:
How you find co-terminal is by adding or subtracting 360 degrees to the value you are given.
If it is a positive number like #18. all you do is subtract 510 - 360 = 150 until you get to a value between 0 degrees and 360 degrees.
The same thing applies to negative numbers. Like #21. You will add 360 + (-660) until you get to a number between 0 degrees and 360 degrees.
-660 + 360 = -300 (this is not a value in between 0 and 360 so we must add 360 again)
-300 + 360 = 60 (this is a value in between 0 and 360) (this is the co-terminal angle)
That is the idea of finding co-terminal angles.
In a sequence of events, the
total possible number of ways all events can performed is the product of the
possible number of ways each individual event can be performed. Since there
are 10 openings
<span>P = 40 x 39 x 38 x 37 x 36 x 35
x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>