Use the figure below to complete Parts A and B.

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

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A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di

denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is $0.432\, \frac{m}{s^{2}}$

Step-by-step explanation:

Total distance covered in one round , D= 400 m

Time taken to cover one round , T = 1 min 40 s = 100 sec

Speed of runner , $V=\frac{D}{T}=\frac{400}{100}\, \frac{m}{s}= 4.0\, \frac{m}{s}$

Now centripetal acceleration is given by

$a_c=\frac{V^{2}}{R}$

where $V= 4.0\frac{m}{s}$

$Radius, R= \frac{Diameter}{2}=\frac{74}{2}m=37\, m$

$\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}$

Thus her centripetal acceleration during the turn at each end of the track is $0.432\, \frac{m}{s^{2}}$

4 0

4 years ago

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Nicholas buys a game during a 20% off sale. He pays

Basile [38]

Answer:

$62.95

Step-by-step explanation:

Find the price without the discount by dividing 50.36 by 0.8

50.36/0.8

= 62.95

So, the price without the discount is $62.95

7 0

3 years ago

I need to find what the missing value is?

Strike441 [17]

Answer:

x = 18°

$\angle A = 73°$

Step-by-step explanation:

By interior angle property on the same side of transversal.

$\angle A + \angle B= 180°\\(6x-35°) + (3x+53°)=180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\\huge \purple {\boxed {x = 18°}} \\\angle A = 6x - 35°\\\angle A = 6\times 18°- 35°\\\angle A = 108°- 35°\\\huge \red {\boxed {\angle A = 73°}} \\$