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Alexus [3.1K]
3 years ago
14

The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the startin

g line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work
PLZZZZZZ HELP 4 POINTS
Mathematics
1 answer:
inessss [21]3 years ago
3 0
The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:
86.1+15+10.5 = 111.6 m
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A rock concert promoter scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,427. If it doe
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1 year ago
A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
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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.

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Substitute the given values in [1] we get;

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or

y =0.6e^{-1.8t}\cos(210\pi t)  

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

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

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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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