<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
Answer:
-4.5 , to - 2.5 , to , - 1.1 , to 0.8, to 9/5
Step-by-step explanation:
Answer:
x= 44 ounces y = 66 ounces
Step-by-step explanation:
Distribution would be an increase to find 80% salt.
Where we use 4/5 = 80 but use here 4/5.
We find 19/20 but just say 95 for solution B =
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 110 y = 110 - x
(70x + 95y) = 4/5 x 110
70x + 95y = 88
70x + 95 y = 88
70x + 95 (88 - x) = 8800 make units equal or for start convert decimalization = same units as 2nd multiplied value.
70x + 8360 - 88x = 8800
-10x - 8360 - 8800 = y
-10x = 440
x = 44 ounces
y = 110- 44
y = 66 ounces
First you distribute what’s outside the parentheses (the -4)
-4•4= -4y
-4•-2= 8
New equation: -4y+8=12
Now you solve like a normal equation
12-8 is 4
New equation: -4y=4
Now divide
Answer:-1
