Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
Answer:
$28.8
Step-by-step explanation:
First we need to get the interest on the savings for the 4years. Since it is not compounded, we will use the simple interest (SI) formula.
According to the simple interest formula, SI = Principal × Rate × Time/100
Give principal = $24 rate = 5℅ time = 4years
SI = 24×5×4/100
SI = 480/100
SI = $4.8
Zoe interest for four years will be $4.8.
Amount she has saved for 4years = principal + interest = $24+$4.8
= $28.8
-6+9.8x=33 1/5
9.8x=39 1/5
x=4
Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
Option 4 would be the correct answer
