Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
Answer:
cool and?
Step-by-step explanation:
Answer:
423 miles and that was found by subtracting 750 from 1000 and dividing that by 0.59
Hi! so you didn’t let us know which side length is missing and it kind of matters so i’ll attach an image so you can just copy the one that looks most like yours.
Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
