7th grade math help. BEST ANSWER. will be chosen?

Question

REgular hexagon ABCDEF is rotated counterclockwise about its center at the origin. What is the least nimber of defrees hexagon ABCDEF could be rotated so that the hexagon A'B'C'D'E'F' exactly covers hexagon ABCDEF?

Explanation needed!!!

Best answer will be chosen based on explanation+clarity. =)

thanks.

Answer 1

You want the rotation so that it is just enough to ensure A'B'C'D'E'F is the same shape as ABCDEF. 360/6 = 60 degrees. If I am correct, 60 degrees is the minimum angle the hexagon can be rotated

Answer 2

60 degrees.

A hexagon has six sides and six corners. A full circle would be 360 degrees. YOu only have to move it 1/6 of the way around before it matches up again. We know 1/6 of 360 is 60 degrees, so that's how far you have to rotate it.

Answer 3

h = rt - 4.9t^2 h = 0 considering the fact which you like it to hit the floor. r = 2490 m/s So this is what you have! 0 = 2490t - 4.9t^2 Now you ought to element out the t because of the fact this is effortless to the two words. 0 = t(2490 - 4.9t) So I now have 2 issues being more desirable jointly: t and (2490 - 4.9t) and the respond is 0. because of the fact of this a sort of two issues ought to be 0! Take the 1st factor -- t. If I make t = 0, it somewhat is sensible. The projectile replaced into on the floor in the previous it have been given shot off so while t replaced into 0, the top replaced into 0. Now i ought to discover out while it comes flow into opposite to the floor so I set the different "factor" equivalent to 0 and resolve. 2490 - 4.9t = 0 -4.9t = -2490 t = 508.15 seconds later, my projectile will hit the floor. WHAM! while you're conscious of the quadratics yet, this makes the form of an inverted parabola.

Answer 4

90. place x y axis center and align