What is the value of x?
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If the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
Given that the point is (3,2) and the point is rotated counterclockwise 350 degrees about an origin.
We are required to find the new coordinates.
Origin is a point where both the values of x and y are equal to zero.
a=arc tan (2/3)=33.7
r=
=
b=a+350
=33.7+350
=383.7 degrees
x=r cos b= cos 383.7=
*0.91=3.28
y=r sin b= sin 383.7=
80.40=1.44
Hence if the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
Learn more about coordinates at brainly.com/question/17206319
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The probability that a point is chosen at random in the square is in the blue region is 0.8.
<h3>What is Probability?</h3>The probability helps us to know the chances of an event occurring.
As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,
The area of the square can be written as,
Now, the probability that a point is chosen at random in the square is in the blue region can be written as,
Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.
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