Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer:
576.6
Step-by-step explanation:
Answer:
<u>There are 380 ways that 1st and 2nd place can be determined in the race</u>
Step-by-step explanation:
There are 20 possibilities for determine the 1st place
There are 19 possibilities for determine the 2nd place
Number of ways that 1st and 2nd place can be determined = 20 * 19
Number of ways that 1st and 2nd place can be determined = 380
Solve.
<span>Mr. Madison picked 80 pieces of fruit on Thursday.</span>Add.
<span>042412+ 40<span>80
</span></span>
Answer:
x = 8
z = 65
Step-by-step explanation:
Through various rules, we are able to assert: (6x + 67)° = 115°.
Now, we want to solve for x:
6x + 67 = 115
6x = 48
x = 8
We know that z° is equal to the complement of (6x + 67)°, and together these must sum to 180°. Therefore, we can simply take 180° - 115° to find that z° = 65°.