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WARRIOR [948]
3 years ago
9

Identify the area of a regular decagon with side length 2 m rounded to the nearest tenth

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

Area = 14.8

Step-by-step explanation:

Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )

This formula given the side length, calculates the area.

a = 2

Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )

Area = 2.5 + 4 * sqrt(5 + 2*2.236)

Area = 2.5 + 4* sqrt(5+ 4.4721)

Area = 2.5 + 4*sqrt(9.4721)

Area = 2.5 + 4*3.0776

Area = 2.5 + 12.3107

Area = 14.8107

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Solve the following system by graphing. What is the solution?<br> y=-4x-2<br> y=2x+4
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Answer:

The answer to your question is (-1, 2)

Step-by-step explanation:

Data

       y = -4x - 2                 Equation l

       y = 2x + 4                  Equation ll

Process

-Graph equation l (green line)

 Plot the point (0, -2)

 Starting from this point plot the point (1, -4), this point comes from the slope.

-Graph the equation ll (blue line)

 Plot the point (0, 4)

 Plot the point (1, 2) starting from the previous point.

-The solution is the point where the lines cross. This point is (-1, 2)

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4 years ago
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Step-by-step explanation:

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Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What
REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let <em>X</em> = number of hits a web page receives per minute.

The random variable <em>X</em> follows a Poisson distribution with parameter,

<em>λ</em> = 2.4.

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

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Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

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3 years ago
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