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:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
Answer
It would be 14
Explanation
Bababoey is fhe explantion
Answer:
232.96
Step-by-step explanation:
18.2-12.8=5.4
12.8•12.8=163.84
5.4•12.8=69.12
163.84+69.12=232.96
Answer:
W = $8X
Step-by-step explanation:
Lana makes $8 per hour
Extra $12 an hour for every hour overtime
Overtime are hours more than 40 hours per week
In this case, Lana worked for X hours with no overtime
If W is wages earned for working for X hours , the equation will be;
W= X * $8
W= $8X
