Answer:
2 cis (7/6 pi)
Step-by-step explanation:
r = sqrt( a^2 + b^2)
r = sqrt (-sqrt(3) )^2 + (-1)^2)
= sqrt(3 +1)
= sqrt(4)
= 2
theta = arctan (b/a)
theta = arctan (-1/-sqrt(3))
theta = 30
but this is in the third quardrant -a and -b
so add 180
theta = 210 degrees
convert this to radians
210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi
r cis (theta)
2 cis (7/6 pi)
Answer:
Step-by-step explanation:
Semester Costs = 8*2858 = 22864
Books / semester= 8 * 391 = <u>3128</u>
Total 25992
If he wants to repay all this in six years the answer would be
45000 + 25992/6 = 45000 + 4332 = 49332
Answer:
0
Step-by-step explanation:
It may say combine, but it`s subtraction soooo it`s 0.
Answer:
Step-by-step explanation:
<u>Δ MHP is right triangle, therefore</u>
<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>
- m∠NMP = 180° - 2*55° = 70°
Answer:
Let the number they chose be 'x'.
Result of Jane = ![3x -2](https://tex.z-dn.net/?f=3x%20-2)
Result of Elliot = ![2x+3](https://tex.z-dn.net/?f=2x%2B3)
Given that,
The product of their result = 110
![or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}](https://tex.z-dn.net/?f=or%2C%20%283x-2%29%282x%2B3%29%20%3D%20110%5C%5Cor%2C%206x%5E%7B2%7D%20%2B9x-4x-6%20%3D%20110%5C%5Cor%2C%206x%5E%7B2%7D%20%2B5x%20-%206%20%3D%20110%5C%5Cor%2C%206x%5E%7B2%7D%20%2B5x%20-%206-110%20%3D%200%5C%5C%5C%5Cor%2C%206x%5E%7B2%7D%20%2B5x%20-%20116%20%3D%200%5C%5Cor%2C%206x%5E%7B2%7D%20%2B29x%20-%2024x%20-%20116%20%3D%200%5C%5Cor%2C%20x%20%286x%20%2B29%29%20-4%286x%2B29%29%20%3D%200%5C%5Cor%2C%20%28x-4%29%286x%2B29%29%20%3D%200%5C%5Ci.e.%20x%3D4%20or%20x%3D%5Cfrac%7B-29%7D%7B6%7D%20%5C%5CSo%2C~%20the%20~number%20~they~%20chose~was%20~either%20~4%20~or%20~%5Cfrac%7B-29%7D%7B6%7D)