Answer:
3.42857143
Step-by-step explanation:
Answer:

Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
![\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7Bz%3D4%5B%5Ccos%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5D%7D)
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.

Hence, the complex number that has polar coordinate of (4,-45°) is 
Answer:
2, 1, 1/2, 1/4
Step-by-step explanation:
2¹ = 2
2^0 = 1
2^-¹
= 1/2¹
= 1/2
2^-2
= 1/2²
= 1/2*2
= 1/4
To complete the table
2² 2¹ 2^0 2^-1 2^-2
4 2 1 1/2 1/4
Answer:
2.75 hours, or 2 hours and 45 minutes
Step-by-step explanation:
Subtract the cost of materials from the bill, 134-46=88.
Then, for every hour, he charges 32, so divide the difference by 32, 88/32.
The answer for x is
x = 1.2