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Hatshy [7]
3 years ago
7

Find the magnitude and direction angle of the resultant vector.

Mathematics
1 answer:
Burka [1]3 years ago
5 0

9514 1404 393

Answer:

  3.694∠127.8°

Step-by-step explanation:

A suitable calculator makes short work of this.

  (8; 240°) +(10; 80°) ≈ (3.694; 127.8°)

_____

If you like, you can add the components of the vectors and figure the magnitude and direction of the result.

  a = 8(cos(240°), sin(240°)) ≈ (-4.0000, -6.9282)

  b = 10(cos(80°), sin(80°)) ≈ (-1.7365, 9.8481)

  r = a + b ≈ (-2.2635, 2.9199)

  |r| = √(2.2635² +2.9199²) ≈ 3.69448

  ∠r = arctan(2.9199/-2.2635) ≈ 127.783°

The resultant is approximately 3.694∠127.78°.

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a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tick
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Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

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x = 39

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Answer

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Nisha collects comic books, and she convinced her friend Hakim to start collecting as well. Every week, they go to the store tog
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By using the given table, we will get the linear equation:

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<h3>How to find the equation for Hakim?</h3>

We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.

Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:

Hakim's collection = Nisha's collection - 9

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