State a definition for a polygon inscribed in a sphere.

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Consider the situation given below:

Let a regular polygon be inscribed in a sphere such that its circumcentre is at a distance r from the centre of the sphere of radius R. A point source of light is kept at the centre of the sphere. How can we calculate the area of the shadow made on the surface of the sphere.

I tried to use the relation: Ω=SR2

But of course that is the case when a circle would be inscribed. So can I somehow relate it for any general polygon?

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ad-work [718]

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3 years ago

The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the a

Daniel [21]

<h3>Annual percent growth is 4.37 %</h3>

Solution:

The increasing function is given as:

$y = a(1+r)^t$

Where,

y is future value

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From given,

a = 5000

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Substituting the values we get,

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3 years ago

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BabaBlast [244]

Answer: $2.535*10^{10}$

Step-by-step explanation:

1. By definition, scientific notation has the following form:

$a*10^{b}$

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a is a number between 1 and 10 but does not include 10.

b an integer.

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