What is 5 over 8 in decimal form
1 answer:
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ANSWER
EXPLANATION
To find a positive angle that is coterminal with
We add multiples of 2π until we get a positive angle that is less than one revolution,
We add to obtain,
This simplifies to,
This is the first positive angle that is coterminal with
and is less than one revolution.
EXPLANATION
To find a positive angle that is coterminal with
We add multiples of 2π until we get a positive angle that is less than one revolution,
We add to obtain,
This simplifies to,
This is the first positive angle that is coterminal with
and is less than one revolution.
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)