$\bf z=2\left[ cos\left( \frac{11\pi }{6} \right) + i\ sin\left( \frac{11\pi }{6} \right) \right]\qquad 
\begin{cases}
r=2\\
\theta=\frac{11\pi }{6}\\
-----\\
a=x=rcos(\theta)\\
b=y=rsin(\theta)
\end{cases}\implies a+bi
\\\\\\
2cos\left( \frac{11\pi }{6} \right)+2sin\left( \frac{11\pi }{6} \right)\ i\implies 2\cdot \cfrac{\sqrt{3}}{2}+2\cdot \cfrac{-1}{2}\ i\implies \sqrt{3}-1i
\\\\\\
\boxed{\sqrt{3}-i}$

7 0

2 years ago

Read 2 more answers

earned $4200 and earned $174 in interest if one earns 3.5% and the other 4.5 % how much was invested at each rate

Leno4ka [110]

X + y = 4200 so x = 4200 - y
0.035x + 0.045y = 174

substitute x = 4200 - y into 0.035x + 0.045y = 174

0.035x + 0.045y = 174
0.035(4200 - y) + 0.045y = 174
147 - 0.035y + 0.045y = 174
0.01y = 27
y = 2700

x + y = 4200
x = 4200 - 2700
x = 1500

answer

$1500 in <span>3.5%
$2700 in 4.5%</span>

8 0

3 years ago

WILL GIVE THANK,BRAINLY,AND 5 STARS

Dvinal [7]

Answer:

I believe the answer is 17 ft and 8 inches

Step-by-step explanation:

correct me If im wrong

4 0

1 year ago

If the product of two positive numbers is forty eight, and one number is two greater than the other, what are the two numbers?

Natalija [7]

X(x+2) = 48
x^2 + 2x = 48
x^2 + 2x - 48 = 0
*Use quadratic formulae*
x = 6
Numbers are 6 and 8

4 0

3 years ago