Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°
the answer it four and one sixths
Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
To answer your question the best option would be B. I hope this helps you out :D
Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11
