Answer:
2^60.
Step-by-step explanation:
You can do this using deMoivres theorem.
First convert to Polar form:
(-1+i(root 3))^60
r = √((-1)^2 + (√3)^2)
= √(1 + 3)
= 2.
So sin Ф = √3/2
Ф = 2π/3 - as the angle is in the second quadrant ( real part is -1)
So in polar form we have:
[2(cos2π/3 + i sin2π/3 )]^60
Bu de Moivres theorem this is
2^60(cos2π/3* 60 + i sin2π/3* 60)
= 2^60(cos(120π/3) + i sin(120π/3)
= 2^60(cos40π + i sin 40π)
= 2^60(1 + i*0)
= 2^60.
Answer:
11. Ellipse
12. Washington Monument
Step-by-step explanation:
You are being asked to locate points on a graph, given an ordered pair.
The first number of the pair is the x-coordinate, the distance to the right of the y-axis. The second number of the pair is the y-coordinate, the distance up from the x-axis. When it is negative, the point will be found below the x-axis.
On this coordinate plane, there are 4 grid lines between integer labels, so each grid line stands for 1/4 unit, or 0.25 units.
__
<h3>11. </h3>
(0.5, 0) will be 2 grid lines to the right of the y-axis, and on the x-axis. That location is labeled <em>Ellipse</em>.
__
<h3>12.</h3>
(3/4, -1/2) will be 3 grid lines to the right of the y-axis, and 2 grid lines below the x-axis. That location is labeled <em>Washington Monument</em>.
Answer:
There isn't a variable in this equation
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
Find the average.
-5.1+7.6=2.5
2.5/2
1.25
