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.
Answer:
=1050 wildebeests
Step-by-step explanation:
We can form an arithmetic series for the wildebeest migration.
Sₙ=n/2(2a+(n-1)d) where n is the number of terms, d is the common difference and a is the first term.
a=24
n=20
d=3
Sₙ=(20/2)(2(24)+(20-1)3)
Sₙ=10(48+57)
=1050 wildebeests
the answer would be 3.
X always stands for the slope
Answer:
−24
Step-by-step explanation:
Since there is only one negative, this means when all the values are multiplied together the product will be negative. Just multiply all three together to get −24.
(3)(−4)(2)
(−12)(2)
−24
It doesn't matter which order you multiply in in this case.
Not sure exactly what you mean, but heres the answers i got for this:
Exact form: 15/2
Decimal form: 7.5