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AfilCa [17]
3 years ago
5

A cyclist is riding a bicycle whose wheels have a diameter of feet. Suppose the wheels turn at a rate of revolutions per minute.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

a.2010 rad/min

b.2412 feet/min

Step-by-step explanation:

We are given that

Diameter of wheel,d=2.4 feet

Radius,r=\frac{d}{2}=\frac{2.4}{2}=1.2feet

a.Rate=320 rev/minute

1 rev=2\pi radian

320 rev/minute=320\times 2\pi=640\pi radian/minute

Where \pi=3.14

Angular speed=640\times 3.14=2010 rad/min

b.Speed,v=r\omega

v=2010\times 1.2=2412 feet/min

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Transformation that changes the size of a shape is referred to as dilation.

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  • The center of dilation is: (-1,1)

<u>The center of dilation</u>

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

<u>The scale factor of dilation</u>

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\mathbf{Base\ of\ small\ triangle = 1}

\mathbf{Base\ of\ large\ triangle = 5}

So, the scale factor (k) from large to small is:

\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }

\mathbf{k = \frac{1}{5} }

Read more about dilation at:

brainly.com/question/13176891

3 0
3 years ago
Use Pythagorean Theorem to solve for the
babymother [125]
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a as 4
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6 0
3 years ago
1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and h
iren [92.7K]

Answer:

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John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

6 0
3 years ago
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Can someone help out ??
kupik [55]

Answer:

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V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.

Dividing this result by 1/27 yields

40       27         40*3    

------ * ------ = -------------- = 120

  9        1               1

120 cubes (answer)

7 0
3 years ago
B to the eighth power multiplied by b to the fourth power
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U just add the exponents.

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7 0
3 years ago
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