<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>
56 hr an 40 min because 34+21=55+1hr from 3half+3half=1hr and 10min+30min will be 40 min its 55hr 40min.
Answer:
-30x^2 sqr2x
Step-by-step explanation:
To find the answer, divide 7.2 miles by 3 hrs, this would get you to answer B, 2.4 miles per hour
<u>Corrected Question</u>
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
<u>Scale on the old blueprint: </u>
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
<u>Scale on the new blueprint</u>
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.
