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vampirchik [111]
3 years ago
6

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

ours less to cover same distance than for the motorcycle. How long does it take them to meet, if they start moving towards each other simultaneously?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

5 hours after they start.

Step-by-step explanation:

The distance between the cities Atlanta and Indianapolis is 540 miles.

If a motorcycle's speed is 48 mph, then time taken by motorcycle = Distance / Speed = 540 miles / 48 mph = 11.25 hours.

For a car it takes 2.25 hours less to cover same distance than for the motorcycle. Then time taken by car = 11.25 - 2.25 = 9 hours.

Speed of car = Distance / Time = 540 miles / 9 hours = 60 mph.

If they start moving towards each other simultaneously, then the time when they meet = Distance / (sum of speeds) = 540 miles / (60+48) mph = 540 miles / 108 mph = 5 hours.

Hence, it takes them 5 hours to meet after they start moving towards each other simultaneously.

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Answer:

They can invite 136 while staying in budget

Step-by-step explanation:

Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:

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3 years ago
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3 0
2 years ago
What’s the answer?and how do you get it
Kay [80]

the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.

from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.

the standing up sides are simply rectangles of 8x3.

if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.

\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312

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Answer:

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Step-by-step explanation:

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