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BigorU [14]
3 years ago
5

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: <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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Factor the following:<br><br> 5∙(a+3)^2-(a+3)
Zanzabum

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

3 0
3 years ago
A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled
s344n2d4d5 [400]

Answer:

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

7 0
3 years ago
In a class of 34 students, 19 of them are girls.
cluponka [151]

Answer:

55.8

Step-by-step explanation:

8 0
3 years ago
Simplify 3a + 4b + 5c + (-2a) + b
ad-work [718]

Answer:

<em> </em><em>a </em><em>+</em><em> </em><em>5</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>c</em>

Step-by-step explanation:

here's your solution

=> 3a + 4b + 5c +(-2a) + b

=> solve for like term

=> 3a - 2a + 4b + b + 5c

=> a + 5b + 5c

hope it helps

7 0
3 years ago
Read 2 more answers
To find out approximately how many minutes students in a high school are spending texting while in class, the guidance counselor
slega [8]

Add all the minutes together, then divide by the number of students:

21+35+77+48+24+29+37+98+30+7 = 406 total minutes

10 students.

Average = 406 / 10 = 40.6 minutes per week.

The answer is A.

6 0
3 years ago
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