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Rudiy27
3 years ago
5

Is 2.78778777... a irational number

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0
If by the ellipses you mean to say that the number 7 repeats forever after that point, then it is not irrational. Any number which can be expressed with repeating decimals is not irrational. For example, pi is an irrational number because it has no repeating decimals, but 0.33333333... is not irrational because it can be expressed by simply saying 0.3 repeated.
adell [148]3 years ago
4 0
YES!!! 2.78778777 is an irrational number because it has endless numbers, and a irrational number cant be put as a fraction but rational numbers can be put as a fractio!!
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Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

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3 years ago
According to a weather report, there is a 11% chance it will rain tomorrow. What is the probability that it will not rain tomorr
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Answer:

89%

Step-by-step explanation:

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GrogVix [38]

Answer:

x = -(1 + 4i)

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Step-by-step explanation:

From what we have;

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