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3 years ago

ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is

2 answers:

5 0

The regular octagon has rotational symmetry. Since it is comprised of 8 "equal parts", divide 360º/8 to determine the smallest angle of rotation. 360º/8 = 45º.

ra1l [238]3 years ago

3 0

Answer:

The regular octagon has rotational symmetry. Since it is comprised of 8 "equal parts", divide 360º/8 to determine the smallest angle of rotation. 360º/8 = 45º.

Step-by-step explanation:

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likoan [24]

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2 years ago

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

Since, base and height of small pyramid and original pyramid are in proportion.

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

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2 years ago

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What is the answer in feet to this question

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2 years ago

The square prism has the same measurements as a square pyramid. How many times larger is the prism than the pyramid ?

Leno4ka [110]

Volume of Rectangle = (Area of Base)(Height)
Volume of Square Pyramid = (1/3) (Area of Base)(Height)

The prism is 3 times larger than the pyramid
Answer: A

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3 years ago

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artcher [175]

Multiply equation B by 2.
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Answer: D

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3 years ago