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3 years ago

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation.

Mathematics

2 answers:

Andru [333]3 years ago

7 0

It is B. Since each angle is 60 degrees, if you rotate B counterclockwise 6 times, it means that you rotated B 360 degrees. Therefore, the image of B would be B.

AleksAgata [21]3 years ago

6 0

Answer:

B will be at same place after all six rotations.

Step-by-step explanation:

If rotation maps to $60^{\circ}$

Then [tex]R^6[tex] means six rotations .

The given B after one rotation will shift in place of A

After second rotation will shift in place of F

After third rotation will shift in place of E

After fourth rotation will shift in place of D

After fifth rotation will shift in place of C

After sixth rotation will shift in place of B itself.

Therefore, B will come back to same place after all the required rotations.

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Darina [25.2K]

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3 years ago

What is the surface area of the above composite object made out of two rectangular prisms?

aleksandrvk [35]

Answer:

550 mm^2

Step-by-step explanation:

A net can be drawn as shown in the first figure attached. Each square represents 5 mm by 5 mm, so is 25 mm^2. Altogether, there are 22 of them, so the total area is ...

(25 mm^2)·22 = 550 mm^2

The second attachment shows that net folded up to make the given figure.

_____

In the first attachment, the green shades represent the left- and right-side faces. (Darker green is left side.) The red and blue shades represent the front- and back-side faces. The white rectangles represent the top and bottom faces. The dark black lines are the cut lines. If you want to fold the figure up, the lighter lines are the fold lines.

The second attachment is just verification that all faces are accounted for and the net actually corresponds to the given figure.