What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?
2 answers:
Consider the regular pentagon ABCDE, with center (of mass) O.
The central angle O is a complete angle, so its measure is 360°.
It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.
If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.
The smallest angle of rotation is the angle which mas A to E, 72°.
Answer: 72°
The central angle O is a complete angle, so its measure is 360°.
It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°.
If we rotate the pentagon, with point O as the center of the rotation, we can map A to any of the other points.
The smallest angle of rotation is the angle which mas A to E, 72°.
Answer: 72°
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Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
Thus the length of an edge of the cube is 10 centimeters