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Ghella [55]
3 years ago
10

12) An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the d

river works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
h/30-15 = h/30+15 + 1
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0
M/(30-15) = m/(30+15) + 1
m/15 = m/45 + 1
45*m/15 = 45*(m/45 + 1
3m = 45*(m/45) + 45*(1)
3m = m+45
3m-m = m+45-m
2m = 45
2m/2 = 45/2
m = 45/2 
m=22.5
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1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

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2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

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324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

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