PLEASE HELP!!
1. calculate the length of the track
2. how many laps do you need to travel 1609 meters (about 1 mile)?
3. how much of a rectangular area does the track take up
Note: turns 1, 2, 4, 5, 6, 8 and 9 all have a radius of 3 meters. Turns 3 and 7 each have a radius of 2.25 meters
Answers
#2) About 9.8 laps.
#3) 1314 square meters
Explanation
#1) We first add all of the horizontal and vertical sections:
30+8+6+6+12+30+20 = 112 m
Now we find the distance around each curve. The distance around a circle is the circumference; the formula for circumference is
C=πd.
We will use 3.14 for π for each curve:
Curve 5: The radius is 3, so the diameter is 2*3 = 6. This is 1/4 of a curve, so we multiply the circumference by 1/4:
1/4(3.14)(6) = 4.71
Curve 4: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 3: This is 1/2 of a curve, so we will multiply the circumference by 1/2. The radius is 2.25, so the diameter is 2*2.25 = 4.5:
1/2(3.14)(4.5) = 7.065
Curve 2: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 1: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 9: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 8: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 7: This is another 1/2 curve with a radius of 2.25, so the distance around is 7.065, just as curve 3.
Curve 6: This is 1/2 of a curve with a radius of 3, so the distance around is 1/2(3.14)(2*3) = 9.42
The total distance around the curved parts is:
4.71+4.71+7.065+4.71+4.71+4.71+4.71+7.065+9.42 = 51.81
Together this gives us 112+51.81 = 163.81.
#2) To find the number of laps it takes to go 1609 meters, divide:
1609/163.81 = 9.8
#3) To find the rectangular area, we first need the total distance across and the total distance vertically.
Horizontally, we have a radius of 3, a horizontal distance of 30, and another radius of 3:
3+30+3 = 36
(looking at the right hand side)
Vertically, we have a radius of 3, vertical distance of 8, radius of 3, radius of 2.25, radius of 2.25, radius of 3, vertical distance of 12, and radius of 3:
3+8+3+2.25+2.25+3+12+3 = 36.5
The area is then 36(36.5) = 1314 m²
#1) 163.81 m
#2) About 9.8 laps.
#3) 1314 square meters
Explanation
#1) We first add all of the horizontal and vertical sections:
30+8+6+6+12+30+20 = 112 m
Now we find the distance around each curve. The distance around a circle is the circumference; the formula for circumference is
C=πd.
We will use 3.14 for π for each curve:
Curve 5: The radius is 3, so the diameter is 2*3 = 6. This is 1/4 of a curve, so we multiply the circumference by 1/4:
1/4(3.14)(6) = 4.71
Curve 4: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 3: This is 1/2 of a curve, so we will multiply the circumference by 1/2. The radius is 2.25, so the diameter is 2*2.25 = 4.5:
1/2(3.14)(4.5) = 7.065
Curve 2: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 1: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 9: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 8: This is another 1/4 curve with a radius of 3, so the distance around is 4.71.
Curve 7: This is another 1/2 curve with a radius of 2.25, so the distance around is 7.065, just as curve 3.
Curve 6: This is 1/2 of a curve with a radius of 3, so the distance around is 1/2(3.14)(2*3) = 9.42
The total distance around the curved parts is:
4.71+4.71+7.065+4.71+4.71+4.71+4.71+7.065+9.42 = 51.81
Together this gives us 112+51.81 = 163.81.
#2) To find the number of laps it takes to go 1609 meters, divide:
1609/163.81 = 9.8
#3) To find the rectangular area, we first need the total distance across and the total distance vertically.
Horizontally, we have a radius of 3, a horizontal distance of 30, and another radius of 3:
3+30+3 = 36
(looking at the right hand side)
Vertically, we have a radius of 3, vertical distance of 8, radius of 3, radius of 2.25, radius of 2.25, radius of 3, vertical distance of 12, and radius of 3:
3+8+3+2.25+2.25+3+12+3 = 36.5
The area is then 36(36.5) = 1314 m²
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Answer:
The interquartile range would be 6.
Step-by-step explanation:
3, 6, 8, 9, 10, 12, 13,
Median: 9
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Upper quartile (Q2): 12
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The interquartile range for the data set is, 6
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Answers
if it is going down stream it is with the current so there is a 2 mph assistance.
if upstream then 2 mph resistance.
i feel like there should be a given distance
11 hours to get to where, how far?
or simply answer 11-2=9 and 9+2=11. So possibly average it at 10.
You don't need the distance. The only thing that matters is the times (and assuming the same rate is used no matter what the current is doing). The distance coming and going is the same.
d_coming = d_going
t upstream = 11 hours
t downstream = 9 hours
current = 2 mph
rate_up = rate_down = r
General formula
d = r * t
Specific Formula
11(r - 2) = 9(r + 2) Note he seems faster with less time. That olnly means that the current is going in the same direction he is.
Solve
11(r - 2) = 9(r + 2)
11r - 11 =9r + 18 add 11 on both sides.
11r = 9r + 18 + 11
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11r - 9r = 29
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Answer
The speed of the boat is 14.5 miles per hour.
which expression gives the length of pq in the triangle shown below?
Answers
We have then:
PQ ^ 2 = 15 ^ 2 + 19 ^ 2
Clearing we have:
PQ = root (15 ^ 2 + 19 ^ 2)
Answer:
The expression used to find PQ is given by:
PQ = root (15 ^ 2 + 19 ^ 2)
option C
So it will be:
PQ ^ 2 = 15 ^ 2 + 19 ^ 2
PQ = root (15 ^ 2 + 19 ^ 2)
So the expression used to find PQ is given by:
PQ = root (15 ^ 2 + 19 ^ 2)
So the answer would be letter C.
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Answers
Answer:
10% or .1 or .10
Step-by-step explanation: