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Scilla [17]
3 years ago
13

What is the area of a regular polygon with 100 sides and a perimeter of 100 units?

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0
Now, if the regular polygon has 100 sides, and the perimeter is 100 units, that simply means that each side is 1 unit, foot, meter, else.

so, we know each side is 1 unit long, and we know there are 100 sides,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\quad 
\begin{cases}
n=\textit{number of sides}\\
s=\textit{length of a side}\\
\frac{180}{n}=central~angle\\
\qquad~~ in~degrees\\
----------\\
n=100\\
s=1
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 100\cdot 1^2\cdot cot\left( \frac{180}{100} \right)\implies A=25cot\left(\frac{9}{5}^o  \right)
\\\\\\
A\approx 795.51289884
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Si en una empresa hay 120 trabajadores 3/8 son españoles y el resto europeos. Cuántos europeos hay?
Kobotan [32]

Answer:

75 Europeos

Step-by-step explanation:

3/8 X 120= 360/8 = 45

120-45= 75

8 0
3 years ago
If Saturn's mass is 5.685 · 10^26 kilograms and Mercury's is 3.302 · 10^23 kilograms
marusya05 [52]
Do the division
(5.685 * 10^26) / (3.302*10^23)

=  1.722 * 10^3

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8 0
3 years ago
Find the equation of the line which has slope of -5 and y-intercept 7. Give your answer in the form y=mx+b
zhuklara [117]

Answer:

y = - 5x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 5 and b = 7, thus

y = - 5x + 7 ← equation of line

3 0
3 years ago
Read 2 more answers
Help I dont get this at all​
stealth61 [152]
B)257.1

Explanation: Area of a square : length x width
Area of square = 12x12= 144
Area of a circle: pie(radius)^2
diameter:12
radius:12/2=6
Area of a circle: pie(6)^2=113.1
ADD BOTH AREAS
Area of the figure =144+113.1
=257.1
8 0
2 years ago
An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose
Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

R(t) = \frac{0.7}{1+t^2}

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

V(t) = \int_{0}^{180} R(t) dt

=\int_{0}^{180} \frac{0.7}{1+t^2} dt

=0.7 \int_{0}^{180} \frac{dt}{1+t^2}

=0.7[tan^{-1}(t)]_{0}^{180}

=0.7(tan^{-1}(180) - tan^{-1} (0))

=0.7(89.68)

= 62.77 million gallons

5 0
3 years ago
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