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mamaluj [8]
3 years ago
12

Area of a regular polygon with 100 sides and a perimeter of 100 units

Mathematics
1 answer:
babunello [35]3 years ago
5 0
The area is 795.5 sq units.

We first find the apothem, using the formula:
a=\frac{s}{2\tan{(\frac{180}{n})}}

Since there are 100 sides, all sides are equal and the perimeter is 100, the side length, s, is 1:
a=\frac{1}{2\tan{(\frac{180}{100})}}=15.91

Now we find the area of the polygon.  Since there are 100 sides, there will be 100 equal triangles using the center as a vertex.  The formula for the area of a triangle is A=1/2bh; in this case, b is s, the side length, and h is a, the apothem. This gives us:
A=100(1/2)(s)(a) = 100(1/2)(1)(15.91) = 795.5.
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The second and easier option is to just remember the formulas of product to sum conversion identities. The 4 formulas for this case are listed below in the image.

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A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the
strojnjashka [21]

Answer:

<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

Step-by-step explanation:

<u><em>Step( i ):-</em></u>

<em>Given random sample size 'n' =85</em>

<em>Mean of the sample size x⁻ = 6.5 years</em>

<em>Standard deviation of Population = 1.7 years</em>

<em>Level of significance = 0.95 or 0.05</em>

<u><em>Step(ii):-</em></u>

<em>95% of confidence interval for the Population is determined by</em>

<em></em>(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })<em></em>

<em></em>(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })<em></em>

<em>( 6.5 - 0.3614 , 6.5 + 0.3614 )</em>

<em>( 6.1386 , 6.8614)</em>

<u><em>Conclusion</em></u><em>:-</em>

<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

8 0
3 years ago
Please help im struggling so much
Serggg [28]

Answer:

B. y=-10,250

C. 6 payments

Sorry for my terrible handwriting.. Hope this helps tho! Have a great day/night!

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