Find the solutions to the equation StartRoot 3 EndRoot sine (StartFraction x Over 2 EndFraction) + cosine x = 1 if 0° ≤ < 360
2 answers:
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Answer:
55 percent of the surveyed employees preferred to eat lunch at their desk.
Step-by-step explanation:
Here, the total number of surveyed employees = 40
The number of employees who prefer having lunch at their desk = 22
Now,
or, Percentage of the employees who prefer to do so = 55%
Hence, 55 percent of the surveyed employees preferred to eat lunch at their desk.
9514 1404 393
Answer:
149.04°
Step-by-step explanation:
You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.
When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)
You find the 2nd-quadrant angle by adding 180° to this value:
-30.96° +180° = 149.04° = arg(-5+3i)
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The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.
