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Answer: ![-\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
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Explanation:
The identity we'll use is cos(-x) = cos(x) for any value of x.
So cos(-150) = cos(150).
Then locate the angle 150 on the unit circle. The terminal point is ![\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%2C%20%5Cfrac%7B1%7D%7B2%7D%5Cright%29)
The x coordinate of this terminal point is the value of cos(150).
X = 47 + 9y
xy = 1860
y(47 + 9y) = 1860
47y + 9y² = 1860
9y² + 47y - 1860 = 0
> using a quadratic equation solver on a calculator but you can also use the quadratic equation = [-b+/- √(b²-4ac)]/(2a)
> only integer solution is x = 12
12y = 1860
y = 155
integers are 12 and 155
The farthest distance of the turtle can be solved with the following equations:
x = 112 + 4
x = 112 - 4
By solving the equations, we conclude that t<span>he turtle can be found either in the 116th block or the 108th block.</span>
the answer will be 10 just multiply the numbers