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Alexandra [31]
2 years ago
5

Find a unit vector that has the same direction as the vector a and the opposite direction of the vector

Mathematics
1 answer:
nasty-shy [4]2 years ago
5 0
The unit vector is given by the following formula:
 a '= (a) / (lal)
 Where,
 a: vector a
 lal: Vector module a
 We are looking for the module:
 lal = root ((- 15) ^ 2 + (8) ^ 2)
 lal = 17
 Same direction:
 a = -15i + 8j
 The unit vector is:
 a '= (1/17) * (- 15i + 8j)
 Opposite direction:
 a = 15i - 8j
 The unit vector is:
 a '= (1/17) * (15i - 8j)
 Answer:
 
a unit vector that has the same direction as the vector a is:
 
a '= (1/17) * (- 15i + 8j)
 
a unit vector that has the opposite direction of the vector a is:
 
a '= (1/17) * (15i - 8j)
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3 years ago
Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
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If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

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2 years ago
MARKING AS BRAINLIEST!! (Find area of each )
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Answer:

38 km

Step-by-step explanation:

1. The formula to find the area of a trapezoid is \frac{a+b}{2}h, where a and b are the bases and h is the height.

2. To find the area, all we have to do is plug in these values and simplify!

3. (Solving)

  • \frac{a+b}{2}h
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  • \frac{15.2}{2}*5
  • \frac{76}{2}
  • 38

Therefore, the area is 38 km.

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Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equat
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Step-by-step explanation:

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