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BigorU [14]
2 years ago
5

State a definition for a polygon inscribed in a sphere.

Mathematics
1 answer:
mojhsa [17]2 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: <span>Ω=<span>S<span>R2</span></span></span>

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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While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
Deffense [45]

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

8 0
3 years ago
Whats the gcf of 32 and 52
Molodets [167]
The greatest common factor of 32 and 52 is: 4

Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 52: 1, 2, 4, 13, 26

The common factors between them are 1, 2, 4, but the greatest common factor between them is 4.


7 0
3 years ago
Read 2 more answers
Answer 3(x-4)=2(-2x+1). Explain
Lelu [443]

Answer:

65

Step-by-step explanation:

6 0
3 years ago
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe
Sonja [21]

Answer:

Z= 75*6 -250=200

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

1.5 X = 75

And solvong for X we got:

X = \frac{75}{1.5}= 50

Now we can find the total contribution before the donation with the following proportion:

\frac{50}{1}= \frac{Y}{5}

Y = 250

And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

\frac{Y+Z}{6}= 75

\frac{250+Z}{6}= 75

Z= 75*6 -250=200

So then the correct answer is B. $200.

5 0
3 years ago
Which number sentence is true?
PIT_PIT [208]

I'm pretty sure it's 8.5 > 2.97

7 0
3 years ago
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