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viva [34]
3 years ago
5

Vector A has a magnitude of 6.00 units and is directed at 60° to the positive x-axis. Vector B has a magnitude of 6.00 units and

is directed at 120° to the positive x-axis. Find the magnitude and direction of vector C such that A+B+C=0. Place the three vectors so that one begins where the previous ends.What do you observe?

Mathematics
1 answer:
notsponge [240]3 years ago
5 0

Answer:

C has a magnitud of 10.4 units and is directed 270° from the positive x-axis

Step-by-step explanation:

As it shows on the attached picture, the xA and xB have equal magnitudes but opposite directions, therefore they cancel eachother out in the x-axis.

However, the yA and yB are equal in magnitud, but have the same direction. So, the create a total vector the is completely on the y-axis and it's magnitude is 2*(sin(60°)*6)=10.4 units.

In order for C to cancel this vector, it's magnitude also needs to be 10.4 units, but pointing the other way. Therefore, the angle needs to be 270° from the positive x-axis.

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Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : N(t)=N_0(1-r)^t

Where N(t)= Population after t years

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2 years ago
Four students have summer jobs. The table shows how much each student earns after working a certain number of hours. Which stude
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C Jacob

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7 0
3 years ago
Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau
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Step-by-step explanation:

A suitable probability calculator can show you this answer.

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5 0
3 years ago
Item 1
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Answer:A) 20,500

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