Answer:
2 sqrt(3) -2i
Step-by-step explanation:
If we have the magnitude and the theta
z = |z| cos theta + i |z| sin theta
= 4 cos 330 + i 4 sin 330
=4 (sqrt(3)/2) + 4i (-1/2)
= 2 sqrt(3) -2i
Answer:
You take the repeating group of digits and divide it by the same number of digits but formed only by 9s.
Step-by-step explanation:
Let's say you have 0.111111111111...., your repeating pattern is 1, that consists of one digit (1). You take that digit and you divide it by 9:
1/9 is the fraction equivalent to 0.111111111111111...
Let's say you have 0.12121212121212...., the repeating pattern is 12, that consists of 2 digits (12). You take those 2 digits and divide them by 99:
12/99 is the fraction equivalent to 0.12121212121212...
which can be reduced to 4/33
If you have 0.363363363363..., your repeating pattern is 363, which is 3 digits, so you divide 363by 999:
363/999 is the fraction equivalent to 0.363363363363...
which can be simplified to 121/333
5:8 and 20:32 would be a proportion.
Easy way to find this:
Set up the proportion as a fraction.
Use the cross product property. Multiply the diagonals and if the products of the diagonals are the same, then they are proportional.
Answer:
Option D. 8 units
Step-by-step explanation:
step 1
Find the area of rectangle
The area of rectangle is

step 2
Find the length side of the square with the same area of rectangle
The area of a square is

where
b is the length side of the square
we have

substitute

take the square root both sides

therefore
The length side of the square is 8 units
Answer:
x^2+7x+10
Step-by-step explanation:
multiply the first by first and first by second
multiply the second by first and second by second