Bill runs around the perimeter of a circular track at 11 ft/sec. The track has a radius of 110 yd. After 24 seconds, Bill turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter. Assume Lee does not slow down when he makes these two turns.
Required:
a. Sketch a picture of the situation.
b. How far has Lee traveled once he returns to his starting position?
c, How much time will elapse during Lee's circuit?
d. Find the area of the pie shaped sector esclosed by Lee's path.
Answers
Answer:
Step-by-step explanation:
We can see the sketch of the diagram in the image attached below.
Since 1 yard =3 feet
110 yards = 330 feet
Using: Distance = speed * time
If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.
The distance traveled = 264 ft
After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.
b)
Total Distance traveled = A + B + C
A = C = 330 ( radius of the circle)
= 330 + 110 + 330
= 770 ft
c) Using the expression:
Speed = Distance/time
time = Distance/Speed
time = 770/11
time = 70 sec
d)
Area = 1/2 r²θ
Area = 1/2 r² (l/r)
Area = 1/2 × r × l
Area = 1/2 × 330 × 110
Area = 18150 ft²
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Step-by-step explanation:
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How :
We can write 3 divided by 1 as a ratio, fraction, or equation. Let's try writing this statement in all these ways
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The easiest way for me to solve this question is as a fraction so let's solve it like that. If the denominator is a 1, we immediately know that the answer is the numerator and that you don't need the denominator. so we can take away the 1 from 3/1 and that is how our answer is 3!
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
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