sharkboy3780
24.07.2019 •
Mathematics
Apublic transportation department measures the distance from a location using displacement vectors. to ride the bus to work for a discounted amount, you have to travel further than 1.5 mi. (7,920 ft.) from your home. your cell phone calculates that when you walk to work, you go 1,600 ft. south and 6,300 ft. west. what is the magnitude of the displacement vector from your home to work, and will you be able to ride the bus for the discounted rate?
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Ответ:
Ответ:
Using Pythagoras theorem,
Altitude^2 + Base^2 = Hypotenuse^2
Altitude = Distance Traveled South
Base = Distance traveled west
Hypotenuse = Displacement vector
Putting the values,
1600^2 + 6300^2 = 42250000
Displacement vector = (422550000)^1/2 = 6500
So, no discount.
Ответ:
First distribute and simplify where needed : 5x + 20 - 4x = 5
Simplify some more : x + 20 = 5
Subtract 20 from both sides : x = -15