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asambeis [7]
3 years ago
6

A two-dimensional vector has an x-component of 10.3~\text{meters}10.3 meters and a y-component of 4.30~\text{meters}4.30 meters.

Calculate the angle (in degrees) that this two-dimensional vector makes with the positive x-axis.
Mathematics
1 answer:
Georgia [21]3 years ago
4 0

9514 1404 393

Answer:

  23°

Step-by-step explanation:

The angle a vector makes relative to the +x axis is found as ...

  α = arctan(y/x) = arctan(4.30/10.3) ≈ 22.66°

The angle is about 23°.

__

<em>Additional comment</em>

This vector resides in the first quadrant, so no adjustment of the angle is needed. In other quadrants, 180° may need to be added or subtracted from the angle given by the arctan function to arrive at the correct value. (Some calculators and spreadsheets have an ATAN2(x, y) function that takes signs into account.)

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Tim earns $280 every week in his paycheck. If he saves 10% of each
Alex73 [517]

Answer:

336

Step-by-step explanation:

10 times 280 over 100 equals 28 time 12 equals 336

6 0
3 years ago
Problem of the Day:
Shtirlitz [24]

Answer:

Step-by-step explanation:

What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.

in order to find this we have to split each number into it's prime components.

for 12 they are 2,2 and 3 (

2

⋅

2

⋅

3

=

12

)

and for 15 they are 3 and 5 (

3

⋅

5

=

15

)

Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.

Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:

12

3

=

4

girls per group, and

15

3

=

5

boys per group.

(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [

2

⋅

2

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8 0
3 years ago
Factor X^3-7x^2-5x+35
Vinil7 [7]
The answer would be
- (34x^3 - 35)
3 0
3 years ago
Read 2 more answers
Help Calculus please help
Tamiku [17]
This problem is related to the concept composite function
6 0
3 years ago
-5x+10&gt;-15 help please
nexus9112 [7]

Answer:

Step-by-step explanation:

-5x + 10 > -15 is your original equation.

You need to isolate the x variable.

Start by subtracting 10.

-5x > -25

x > 5

3 0
3 years ago
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