If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′? 1 unit
2 unit
3 unit
4 unit

Option (2)

Step-by-step explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points and is,

d =

By this formula length of NP =

                                               = 2 units

Therefore, Option (2) will be the correct option.

10000

step-by-step explanation: divide by 2,

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2