To rotate a point in the coordinate plane which is represented by the column vector( x )
( y )
through an angle t, anticlockwise, you need to pre-multiply it by the matrix
[ cos(t) -sin(t) ]
[ sin(t) cos(t) ].
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The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
The significant figures are the first four non-zero digits - with the last of these adjusted if the following digit is 5 or more. [This is the crude school rule rather than the bias-free, IEEE approved rule.] So the answer is 2231000.
There are two significant figures in 0.025.
That depends on how many significant figures you are talking about.If three significant figures then 700 is the largest that rounds to 700.If four significant figures are to be rounded to three significant figures then 700.4If five significant figures are to be rounded to three significant figures then 700.49If six significant figures are to be rounded to three significant figures then 700.499etc.
The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.