PLEASE HELP!! IM CONFUSED AND NEED TO GET MY LATE WORK IN ASAP!
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Answer:
It will take them 5 hours to meet if they start moving towards eachother simultaneusly.
Step-by-step explanation:
Distance, s = 540 miles
Motocycle's speed, v = 48 mph
Time for motorcycle to cover 48 miles, t =
= = 11.25 h
For a car it takes 2.25 hours less than 11.25 for motorcycle:
Time for car than becomes: 11.25 - 2.25 = 9 h
Speed for car would be v(c) =
= = 60 mph
<em>For finding when they will meet, we will need relative speed: </em>
Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle
Relative Speed = 48 + 60 = 108 mph
Distance = 540 miles
Time =
=
= 5 hours
<h2>Volume of a Prism</h2>
To find the volume of a prism, we can use the following formula:
Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
⇒ where <em>l</em> is the length and <em>w</em> is the width
We're given:
- V = 4352 ft³
- <em>l</em> = 16 ft
- <em>w</em> = 16 ft
- We need to solve for the height of the box.
First, find the base area:
Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:
⇒ Divide both sides by the base area:
⇒ Plug in the given values:
Therefore, the height of the box is 17 ft.
<h2>Answer</h2>The height of the box is 17 ft.