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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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Liula [17]
−317−221−(−354)=
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so it would be d</span>
8 0
3 years ago
A school is holding a talent show. A group of six friends entered the talent show and won the first place prize of $45, which th
Ghella [55]

Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

We can conclude in the second group the individual members received a larger fraction of the prize money

4 0
3 years ago
Given the functions f(x) = 3x − 1 and g(x) = 3x + 4, which operation results in the smallest coefficient on the x term?
Vera_Pavlovna [14]
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3 is smaller than 6 or 9 :)
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3 years ago
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Beautiful your answer is 7/8
7 0
3 years ago
Read 2 more answers
Please answers all these questions for me need help too pass plz help☺
vodka [1.7K]

Please take 1 minute, and really read the example solution
under problem #12.  All of the other eight problems on the
sheet are solved in exactly the same way:

Multiply each side of the equation by the denominator of
the fraction ... the number under the variable (the letter).

This easy step will get you the answer to each of the
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I can't help noticing that the title of the sheet is 'extra PRACTICE' .
If someone handed you the answers, then you would not get the
practice.  That would be just like stealing from you, and would be
just plain mean.

8 0
3 years ago
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