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Alinara [238K]
3 years ago
6

What is 1.115 rounded to the nearest cent​

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
Rounded to the nearest cent which I would assume is the nearest hundredth, the answer is 1.12
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2 3/4 divided by 4 1/8
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a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
Margarita [4]
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18  cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x

thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

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but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


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Answer: 24 \sqrt{3}+72   cm^2

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3 years ago
Can you solve this????? Super hard!
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300 total point
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