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)
__
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.
Turn 2 1/8 into an improper fraction. Multiply the denominator by the whole number and then add the numerator. 2 x 8 + 1= 17. Improper fraction is 17/8. So is 17/8 x 16/1. 16 x 17= 272. This is 272/8. Now simplify. Answer is 34
The answer is A. 21.6 just add, 9.2+0.5+6+5.9=21.6
I hope this helps!
Answer: 20 cups of grape juice are needed for 8 cups of peach juice.
Step-by-step explanation:
5 times 4 is 20.
We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.
So, 20 cups of grape juice are needed for 8 cups of peach juice.
Hope this answer helps you out!
Answer:
11 months
Step-by-step explanation:
the math that i did was i kept adding 400 to 2500 and counted every four hundred that i added witch was 11 until i got to 7000 so the answer is 11 months. You will have some left over which you will have 300 left over.