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Sergio039 [100]
3 years ago
13

Ann races her bicycle for 200 ft. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diamet

er of the wheel?
Use the value 3.14. Round your answer to the nearest tenth. Do not round any intermediate steps.
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

1.6 ft

Step-by-step explanation:

Each time the wheel does a complete turn, the bike moves forward a distance equal to the wheel's circumference.  Since the bike moves 200 ft after 40 rotations, the length of the wheel's circumference is:

C = 200 ft / 40

C = 5 ft

Circumference is π times the diameter.  So the diameter of the wheel is:

C = πd

5 ft = πd

d = 1.6 ft

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What is the value of the expression below when y= 8 and z= 9?
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answered by aurinda

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4 0
3 years ago
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


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3 years ago
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