The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a and b are real numbers.
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:
z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]
Find out more on equation at: brainly.com/question/2972832
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Answer:
Dan bought 3 pencils and each pencil cost 5 cents.You know logically that it took 15 cents. He would need one nickle for each pencil he bought, or 3 nickles.
Answer:
Step-by-step explanation:
The length of side length VY is 4z+2
The same as side length WX
To find the answer, we need to find the coordinate of figure PQRS, but I will only find the coordinate of point P which is:
P(1,-3), and the coordinates of P'(-3,1)
First choice:
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
Counterclockwise rotation 90° means that rotate 270° clockwise, and the formulaa to find it is
270° Rotation
(x,y) to (-y,x)
Point P rotate 270° counterclockwise
(1,-3) to (3,1)
Reflection over x-axis formula is
(x,y) to (x,-y)
Do the same to point P
(3,1) to (3,-1) which is not right because the coordinate of point P is (-3,1) not (3,-1)
Just to save times
Let check the last one
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
We already have the coordinate of rotate 90° counterclockwise which is
(3,1)
Then, reflection over y-axis formula is
(x,y) to (-x,y), so
Point P'
(3,1) to(-3,1) which is right. As a result, Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis is your final answer. Hope it help!
The apex If the triangle is 40, bc it's alternate interior with 40, due to the parallel lines.
Now all angles sum 180 in a triangle:
y+10 + 77 + 40 = 180
y + 127 = 180
y +137 -127 = 180-127
y = 53
Now the y+10 + 40 + x-1 sum to 180 2nd they all make a straight line:
x-1 + 40 + 53+10 = 180
x + 102 = 180
x + 102 -102 = 180-102
x = 78
Therefore the correct answer is:
B.) x = 78, y = 53
