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otez555 [7]
3 years ago
14

A Ferris wheel completes 4 revolutions in 10 minutes. The radius of the Ferris wheel is 40 feet.

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

<h2>5.0in/sec</h2>

Step-by-step explanation:

Circumference = 2\pi r\\\\2 \pi \times 40 ft  =  80\pi ft  =  253.3274123 ft\\\\=  253.3274123 ft  \times 12 \: \frac{inches }{feet} \\\\  =  3015.928947 in\\\\\\10 min  =  10 min  \times  60 \: sec / min  =  600 sec\\\\4 \: revolutions / 10 min  =  4 \times 3015.928947\: in / 600 sec \\\\ =  5.0 in/sec

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The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

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2 years ago
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?​
Brrunno [24]

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Step-by-step explanation:

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5 0
3 years ago
What is this help please
Sholpan [36]
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3 years ago
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3 0
3 years ago
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san4es73 [151]

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

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y-----> polygon p’s area

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z^{2} =\frac{x}{y}

In this problem we have

z=\frac{1}{2}

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3 years ago
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