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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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8 0
2 years ago
A rectangle and a triangle with the same base and height have the same area.
OverLord2011 [107]
The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....
5 0
3 years ago
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KatRina [158]
Your answer is 40mm

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What’s the answer to this question?
GarryVolchara [31]
Yes because

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5 = 2 x 3 - 1

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3 years ago
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