Please type this as 2(sin 2x)^2=2 <span>2sin^2 2x=2 is confusing.
Reducing this expression: (sin 2x)^2 = 1
Taking the sqrt of both sides, sin 2x = plus or minus 1
If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.
Now you do this for sin 2x = -1.</span>
It will take her 8 weeks to have enough money for a bike. I made the equation 125+15x=245 and multiplied 15 by 8 to get exactly 245
It should go like this:
(4z + 3) (3z - 4) / (3z - 4) (z + 2)
Then you just cancel out (3z -4) and (3z -4), and the final simplified form of this polynomial is:
(4z +3) / (z + 2)
The major axis of the eclipse is 12 units long
The given parameters can be represented as:


See attachment for illustration
To solve this question, we make use of the following theorem
The distance between a point and the foci sums up to the major axis
This translates to:



Scale Factor = 1:12
It means, for every in in the model, it is equivalent to 12 inches in the real.
Dimensions of the real Car = 132 * 66
So, Dimensions of the model = 132/12 * 66/12 = 11 * 5.5
In short, Your Answer would be: 11 * 5.5 cm
Hope this helps!