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Tanzania [10]
2 years ago
7

A spinner has 10 sections numbered 1 to 10. Consider the events.

Mathematics
1 answer:
vitfil [10]2 years ago
4 0

Answer:

events A and C

Step-by-step explanation:

you can't have an odd number and also land a 2

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Makovka662 [10]

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:

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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

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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:

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3 0
3 years ago
Each pound of fruit costs $4. Write an expression that shows the total cost of fruit use the variable you identified in the ques
Gnesinka [82]
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y\geq 0 or [0, \infty)

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Shkiper50 [21]

Answer:

137

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