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trapecia [35]
1 year ago
5

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.

Mathematics
1 answer:
frozen [14]1 year ago
7 0

Given:

[8(cos30^o+isin30^o)][3(cos90^o+isin90^o)]

Required:

We need to express the given form in rectangular form.

Explanation:

Use\text{ }cos30^o=0.8660,sin30^o=0.5,cos90^o=0,\text{ and }sin90^o=1.

=[8(0.8660+i0.5)][3(0+i(1))]

=[8\times0.8660+i8\times0.5)][i3\times(1))]

=(6.928+i4)(i3)

=6.928(i3)+i4(i3)

=i20.784-12

=-12.0000+i20.7840

[8(cos30^o+isin30^o)][3(cos90^o+isin90^o)]=-12.0000+i20.7840

Final answer:

We know that z =a+bi is called the rectangular form.

The rectangular expression of the given expression is

-12.0000+20.7840i.

The real part is -12.0000 and the imaginary part =20.7840.

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Schach [20]

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6

8 0
3 years ago
Put this equation, x^3-x^6+x^8-5 in standard form.
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What is the equation of a line that is parallel to 2x+3y=10 and passes through the point (-4,5)
Vikki [24]

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7 0
3 years ago
-3(4x+3)+4(6x+1)=43 how do I solve it
Gala2k [10]
Solve for x:
4 (6 x + 1) - 3 (4 x + 3) = 43
-3 (4 x + 3) = -12 x - 9:
-12 x - 9 + 4 (6 x + 1) = 43
4 (6 x + 1) = 24 x + 4:
24 x + 4 - 12 x - 9 = 43
Grouping like terms, 24 x - 12 x - 9 + 4 = (24 x - 12 x) + (4 - 9):
(24 x - 12 x) + (4 - 9) = 43
24 x - 12 x = 12 x:
12 x + (4 - 9) = 43
4 - 9 = -5:
12 x + -5 = 43
Add 5 to both sides:
12 x + (5 - 5) = 5 + 43
5 - 5 = 0:
12 x = 43 + 5
43 + 5 = 48:
12 x = 48
Divide both sides of 12 x = 48 by 12:
(12 x)/12 = 48/12
12/12 = 1:
x = 48/12
The gcd of 48 and 12 is 12, so 48/12 = (12×4)/(12×1) = 12/12×4 = 4:
Answer:  x = 4
3 0
4 years ago
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