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Sedaia [141]
2 years ago
15

Help!!!!!!! v is a vector of magnitude 4 making an angle of 30° with the positive x-axis. find v in component form .

Mathematics
1 answer:
Elodia [21]2 years ago
5 0

Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>Component of a vector</h3>

A vector can be resolved into perpendicular components along the x, y and z axis.

<h3>Components of vector v</h3>

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

<h3>Vector v in component form</h3>

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

Learn more about vectors here:

brainly.com/question/25705666

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Change the fraction to a decimal with division 1/10
Viktor [21]

Answer: 0.1

Step-by-step explanation: you only need to add zero to the first value,

for example if you have 1/10, you add zero, getting the next equation

10/10 if you add a zero to value you can add a zero to the result getting the following result

10/10=0. in this point both values are divisible

and 10 between 10 is equal to 1

as you finish add zeros you can add a point and after the 1 getting this result

1/10 = 0.1

 

7 0
3 years ago
Read 2 more answers
Determine if the two triangles shown are similar. If so, write the similarity statement.
dmitriy555 [2]
I don’t think those are similar... not 100% sure tho. I think they need 2 matching angles to be similar.
8 0
3 years ago
Please help me I don't understand and this is due by the end of the day.
Nitella [24]

Answer:

well you used 6.4 pounds of flour to make bread which means you have 9.6 pounds left so you could make about 14 batches

Step-by-step explanation:

3 0
3 years ago
A square pool has a side length of x feet. a uniform border around the pool is 1 foot wide. the total area of the pool and the b
Alex73 [517]
----------------------------------------
Define x:
----------------------------------------
Let x be the length of the pool.

Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2

----------------------------------------
Given area = 361 ft², find x:
----------------------------------------
(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17

----------------------------------------
Find Length of the pool:
----------------------------------------
Length of the pool = x = 17 feet

----------------------------------------
Find Area of the pool:
----------------------------------------
Area = 17 x 17 
Area = 289 ft²

------------------------------------------------------------
Answer: Area of the pool = 289 ft²
------------------------------------------------------------

5 0
3 years ago
What is the code? Thank you! Whoever answers this, I will give brainliest!
shepuryov [24]

Answer:

5821

Step-by-step explanation:

For the first symbol, the number is 5.

In the first problem, the digit corresponding to that symbol is 5.

In the second one, it should be 5. The area of a triangle is base * height / 2. The base is 15 and the height is 9. Therefore, the area will be 15 * 9 / 2 = 67.5 square units. Now, the number corresponding to that symbol is 5.

In the fourth problem, the number corresponding to the symbol is also 5.

For the second symbol, the number is 8.

In the 5th problem, the number corresponding to that symbol is 8.

In the 7th problem, the number corresponding to the symbol is 8.

In the last problem, 96 is the correct answer, and everything is in the right place. I assume this must be the mistake of the maker of the problem.

For the third symbol, the number is 2

In the 1st and 3rd problems, the number corresponding to that symbol is 2

Finally, for the last symbol, the number is 1

In the 4th problem, there is a trapezoid. The formula for the area of a trapezoid is base 1 * base 2 / 2 * height. base 1 = 29, base 2 = 13. 13 + 29 = 42. 42 / 2 = 21. 21 * 15 = 315. Now, the 2nd digit, the one corresponding to the symbol, is 1.

In the last problem, you need to find the surface area of a figure. I would do this by splitting it up. The area for a triangle is base * height / 2. That means, the area of the triangle would be 8 * 7 / 2 = 28. There are four identical triangles, so you multiply this by 4 and get 112. Next, you find the area of the square which is 7 * 7. 7 * 7 = 49. Now, you add them together. 112 + 49 = 161. Now, the first and last digits corresponding to the symbol are both 1.

The answer is 5821.

4 0
3 years ago
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