Through which angle of rotation does the image of a regular pentagon coincide with its preimage?

Mathematics

2 answers:

aev [14]3 years ago

8 0

Its 72 degrees i just did this one plato

pychu [463]3 years ago

6 0

Answer-

When rotated a angle of 72°, a regular pentagon coincides with its pre-image.

Solution-

A polygon is regular when all angles are equal and all sides are equal. So, when a pentagon's all 5 angles and sides are equal then it's called as a regular pentagon.

The angel subtended by two consecutive radius of a regular pentagon(i.e the line joining vertices and the center of the pentagon) at the center is 72°.

Due to its symmetry when a regular pentagon is rotated 72° around its center(both clockwise and counter-clockwise), it produces same pentagon as before.

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The formula for the volume of a rectangular prism is V=l×w×h. Multiply the length times the width times the height to write a si

ololo11 [35]

Answer:

Volume of box= Box Area * Box height

Step-by-step explanation:

If the box has equal sides then the l=w=h length is equal to height and both are equal to width so this can also be written as l=l=l or

Volume= length * width * height

V= l*w*h

V= l*l*l

V= l³

or if the three sides are not equal this can also be written as

Volume of box= Box length * Box width * Box height

If we observe closely we find that length * breadth gives the area so the volume of the box can also be written as

Volume of box= Box length * Box width * Box height

Volume of box= Box Area * Box height

4 0

3 years ago

if a polyhedron has a volume of 35 cm^3 and is dilated by a factor of 5/2, what will be the volume of the dilated polyhedron? Ro

Sergio [31]

If a polyhedron has a volume of 35 cm cube and is dilated by a factor of 5/2 then the volume of dilated polyhedron will be 50.6 cm cube.

Given Volume of polyhedron=35 cm cube . Factor from which is dilated 5/2.

If the polyhedron is dilated by factor 5/2 then the volume of the polyhedron will change by the cube of that factor because when it is dilated by factor its material also increases.

Volume =35 $cm^{3}$