I answered a similar question for someone else. The absolute value of a complex number is called the modulus. This represents the DISTANCE to the origin from the point on the imaginary + real plane.
the real horizontal distance is 5 and the imaginary vertical distance is in this case 4 (from -4i) the distance is 4. So to figure out this just use the Pythagorean theorem.
5^2 + (4)^2 = c^2
25 +16 = c^2
c^2 = 41c = 6.4 So option D.
2x+50 + 3x= 90 degrees
5x +50 = 90
5x =40
x=8
Angle1= 2(8) +50= 66
Angle2= 3(8)=24
66+24+90= 180
Lets say our problem is 12÷24 which ofc equals 2, well we could figure it out by thinking hmmmm what is 12 x __ that equals 24?
Applying the trigonometric ratios, the equations that can be used are:
sin 45 = BC/9
cos 45 = BC/9
<h3>How to Apply the Trigonometric Ratio?</h3>
In the given image below, to find the unknown lengths of the triangle, we would apply the following trigonometric ratios:
To find AC, use the cosine ratio, CAH.
To find BC, use the sine ratio, SOH.
sin 45 = opp/hyp = BC/9
sin 45 = BC/9
cos 45 = adj/hyp = BC/9
cos 45 = BC/9
Learn more about the trigonometric ratios on:
brainly.com/question/10417664
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