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bazaltina [42]
3 years ago
7

There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons

with the length between 1 and √43, inclusive. The order in which the buttons are pressed does not matter. How many ways can the lock combination be set?
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

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