Answer:
No. 1 of tiles goes to No. 3 of pairs
No. 2 of tiles goes to No. 4 of pairs
No. 3 of tiles goes to No. 2 of pairs
No. 4 of tiles goes to No. 1 of pairs
Step-by-step explanation:
We are given the y co-ordinates in the box named 'TILES' and have to match the corresponding x co-ordinates from the box named "PAIRS' such that they satisfy the unit circle.
i.e. the pair (x,y) satisfies [tex]x^{2} +y^{2} =1[/tex].
Now, we substitute the values of 'x' and 'y' provided in 'TILES' and 'PAIRS' correspondingly in the above equation of the unit circle.
We get that, the following co-ordinates form the pairs for the unit circle.
i.e. x = ±[tex]\frac{2\sqrt{10} }{11}[/tex] and y = [tex]\frac{9}{11}[/tex]
x = ±[tex]\frac{4\sqrt{6} }{11}[/tex] and y = [tex]\frac{5}{11}[/tex]
x = ±[tex]\frac{1}{\sqrt{11}}[/tex] and y = [tex]\frac{\sqrt{110}}{11}[/tex]
x = ±[tex]\frac{6\sqrt{2}}{11}[/tex] and y = [tex]\frac{7}{11}[/tex]
