To perform a 90° rotation clockwise around the origin, you take the coordinates of the point A(x, y) and transform them to A'(y, -x). Since 180° and 270° are both "steps" of 90°, we can do this in succession and achieve our goal.
1) (5, 2) 90° = (2, -5) [(y, -x)]
2) (5, 2) 180° = two 90° turns = (2, -5) rotated 90° = (-5, -2)
3) (5, 2) 270° = three 90° turns = (-5, -2) rotated 90° = (-2, 5)°
4) (-5, 2) 90° = (y, -x) = (2, 5)
5) (-5, 2) 180° = two 90° turns = (2, 5) rotated 90° = (5, -2)
6) (-5, 2) 270° = three 90° turns = (5, -2) rotated 90° = (-2, -5)
7) (-2, 5) 90° = (y, -x) = (5, 2)
8) (5, -2) 180° = (y, -x) with another 90° turn = (-2, -5) rotated 90° = (-5, 2)
Using the distance formula:-
Distance = square root [ (17 -7)^2 + (-6 - -12)^2 ]
= square root ( 136)
= 11.66 answer
Answer:
Answer:
height h = 9 m
slant height s = 9.0553851381374 m
side length a = 2 m
lateral edge length e = 9.1104335791443 m
1/2 side length r = 1 m
volume V = 12 m3
lateral surface area L = 36.22154055255 m2
base surface area B = 4 m2
total surface area A = 40.22154055255 m2
Step-by-step explanation: