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ivolga24 [154]
3 years ago
11

What's number 5 please I need to know

Mathematics
1 answer:
Natali [406]3 years ago
5 0
Unit Rate is showing 1 pairs and what you can do to get the answer is 12/5.79
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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
How can i explain that i am useing multiplication to solve the proportion
kow [346]
In order for us to answer this question, more information is needed.
8 0
3 years ago
Determine whether y varies directly with x. If so, find the constant of variation k.
musickatia [10]
The answer is the option D because the formula is y upon x
3 0
4 years ago
What is the average (or mean) of the following numbers: 12, 28, 15, 25, 20 *
Lerok [7]
It’ll be 20.

12+28+15+25+20=100

100/5= 20

Add all the numbers and then divide by the total amount of numbers there and that’s your answer
8 0
3 years ago
35 points<br> What is an approximate average rate of change of the graph from x = 8 to x = 13
Ghella [55]
Rate of change is -2 because you can do rise over run to find the constant rate of change, and since you are going down you have a negative slope. 
4 0
3 years ago
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