ANSWER
![r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))](https://tex.z-dn.net/?f=r%20%3D%202%20%5Csqrt%7B29%7D%20%28%20%5Ccos%28292%20%5Cdegree%29%20%20%2B%20%5Csin%28292%20%5Cdegree%29%29%20)
EXPLANATION
The polar form of a complex number ,
![z = x + yi](https://tex.z-dn.net/?f=z%20%3D%20x%20%2B%20yi)
is given by:
![z = r( \cos( \theta) + i \sin( \theta) )](https://tex.z-dn.net/?f=z%20%3D%20r%28%20%5Ccos%28%20%5Ctheta%29%20%20%2B%20i%20%5Csin%28%20%5Ctheta%29%20%29)
where
![r = \sqrt{ {x}^{2} + {y}^{2} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%7D%20)
The given complex number is:
![z = 4 - 10i](https://tex.z-dn.net/?f=z%20%3D%204%20-%2010i)
![r = \sqrt{ {4}^{2} + {( - 10)}^{2} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7B%28%20-%2010%29%7D%5E%7B2%7D%20%7D%20)
![r = \sqrt{16 + 100}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B16%20%20%2B%20100%7D%20)
![r = \sqrt{116} = 2 \sqrt{29}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%7B116%7D%20%20%3D%202%20%5Csqrt%7B29%7D%20)
And
![\theta= \tan^{ - 1}(\frac{ y}{x} )](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20%5Ctan%5E%7B%20-%201%7D%28%5Cfrac%7B%20y%7D%7Bx%7D%20%29)
![\theta= \tan^{ - 1}(\frac{ - 10}{4} )](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20%5Ctan%5E%7B%20-%201%7D%28%5Cfrac%7B%20%20-%2010%7D%7B4%7D%20%29)
![\theta= 292 \degree](https://tex.z-dn.net/?f=%5Ctheta%3D%20%20292%20%5Cdegree)
Hence the polar form is :
![r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))](https://tex.z-dn.net/?f=r%20%3D%202%20%5Csqrt%7B29%7D%20%28%20%5Ccos%28292%20%5Cdegree%29%20%20%2B%20%5Csin%28292%20%5Cdegree%29%29%20)
Answer:
<u>In the middle of winter</u>
<u>A farm</u>
Step-by-step explanation:
Setting: The place or type of surroundings where something is positioned or where an event takes place.
Answer:
425
Step-by-step explanation:
Out of 429 matchbox cars, there's only 4 that are blue. Therefore, 429 - 4 = 425. :)
Proportion if im not mistaken
is over of percent over 100
14 over 168 and x over 100 . 14 times 100 divided b 168 i believe .
(72÷2)³ - 7 · 9 ÷ 9
First, parenthesis
72÷2 is 36
Next, exponents.
36³ is 46656.
Then, multiplication.
7 · 9= 63
After that, division.
63 ÷ 9 is 7
Finally, subtraction.
46656 - 7 is 46649