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°
3+5=8
Answer:
2/8
Step-by-step explanation:
probability = total number of items ÷2
=8÷2
=2/£
Answer:
P(red) = .3
P(yellow) = .3
75 cubes in the box
Step-by-step explanation:
The probability has to add to 1
Since the number of red cubes equals the number of yellow cubes the probability has to be the same
.4 + x+x = 1
.4 +2x = 1
2x = 1-.4
2x = .6
Divide by 2
x = .6/2
x = .3
P(red) = .3
P(yellow) = .3
We know that
P(blue) = .4 = number of blue cubes/ total number of cubes
.4 = 30/total
total = 30/.4
total = 75
Answer:
2⅙ miles per day
Step-by-step explanation:
Miles : Days
39/4 = 9¾ : 4½ = 9/2
X : 1
39/4 ÷ 9/2 = X/1
39/4 × 2/9 = X
13/6 = X
X = 2⅙
Y is the amount of money u earn
x is the no of hours u work
9.25 is the amount paid for u each hour
hope this helpa
