9514 1404 393
Answer:
Rs 400
Step-by-step explanation:
The selling price was ...
cp(1 -10%)
where cp is the cost price. If we add Rs 60 to that, then the selling price would be ...
cp(1 -10%) +60 = cp(1 +5%)
60 = 15%·cp . . . . . . . . . . . . . . . subtract 90%·cp
60/0.15 = cp = 400
The cost of the shirt was Rs 400.
Answer:
0.04059
Step-by-step explanation:
Decoding the LaTeX that didn't render, we seek sum of the angles of the seventh roots of
![- \frac 1 {\sqrt 2} - \frac i {\sqrt{2}}](https://tex.z-dn.net/?f=%20-%20%5Cfrac%201%20%7B%5Csqrt%202%7D%20-%20%5Cfrac%20i%20%7B%5Csqrt%7B2%7D%7D%20)
That's on the unit circle, 45 degrees into the third quadrant, aka 225 degrees.
The seventh roots will all be separated by 360/7, around 51 degrees. The first seventh root has
![\theta_1 = 225^\circ / 7](https://tex.z-dn.net/?f=%20%5Ctheta_1%20%3D%20225%5E%5Ccirc%20%2F%207)
That's around 32 degrees.
The next angle is
![\theta_2 = \frac{1}{7}( 225^\circ + 360^\circ)](https://tex.z-dn.net/?f=%20%5Ctheta_2%20%3D%20%5Cfrac%7B1%7D%7B7%7D%28%20225%5E%5Ccirc%20%2B%20%20360%5E%5Ccirc%29)
The next one is
![\theta_3 = \frac{1}{7}( 225^\circ + 720^\circ)](https://tex.z-dn.net/?f=%20%5Ctheta_3%20%3D%20%5Cfrac%7B1%7D%7B7%7D%28%20225%5E%5Ccirc%20%2B%20%20720%5E%5Ccirc%29)
and in general
![\theta_n = \frac{1}{7}( 225^\circ + (n-1)360^\circ) = \frac 1 7(-135^\circ + 360^\circ n)](https://tex.z-dn.net/?f=%20%5Ctheta_n%20%3D%20%5Cfrac%7B1%7D%7B7%7D%28%20225%5E%5Ccirc%20%2B%20%20%28n-1%29360%5E%5Ccirc%29%20%3D%20%5Cfrac%201%207%28-135%5E%5Ccirc%20%2B%20360%5E%5Ccirc%20n%29)
![S = \displaystyle \sum_{n=1}^7 \theta_n = \frac{1}{7} \sum_{n=1}^7 -135^\circ + \frac{360}{7} \sum_{n=1}^7 n](https://tex.z-dn.net/?f=S%20%3D%20%5Cdisplaystyle%20%5Csum_%7Bn%3D1%7D%5E7%20%5Ctheta_n%20%3D%20%5Cfrac%7B1%7D%7B7%7D%20%5Csum_%7Bn%3D1%7D%5E7%20-135%5E%5Ccirc%20%2B%20%20%5Cfrac%7B360%7D%7B7%7D%20%5Csum_%7Bn%3D1%7D%5E7%20n)
The first sum is just -135° since it's one seventh of the sum of seven -135s.
We have 1+2+3+4+5+6+7 = (1+7)+(2+6)+(3+5) + 4 = 28 so
![S = -135^\circ + 360^\circ (\frac{28} 7) = 4(360)-135 = 1305^\circ](https://tex.z-dn.net/?f=%20S%20%3D%20-135%5E%5Ccirc%20%2B%20360%5E%5Ccirc%20%28%5Cfrac%7B28%7D%207%29%20%3D%204%28360%29-135%20%3D%201305%5E%5Ccirc)
If I didn't screw it up, that means the answer is
Answer: 1305°
Boys:girls
3+1=4
1\4 x 100=25
answer=25%
The rise is the vertical distance between the two points, which is the difference between their y-coordinates. That makes the rise y2 − y1. The run between these two points is the difference in the x-coordinates, or x2 − x1.