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

Answers

Answer 1

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

What is a vector?

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

Component of a vector

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

Components of vector v

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

Vector v in component form

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

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Related Questions

23
Hot dogs are sold in packages of 12. Buns are sold in packages of 8. What is
the least number of packages of buns you would have to buy if you want to
purchase an equal number of hot dogs and buns?
А 3
B 4
C5
D 6

Answers

Answer:

A) 3

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

24 = 24

Question 9 of 14 V

Question 9

Levi was designing a kite. He needs to determine the measure of A before cutting the fabric.

(1100

(6x + 4)º

A А

(4x + 26)

What is the measure of angle A?

Answers

The measure of angle A in the kite before cutting the fabric is 42 degrees.

What is a kite?

A kite is a quadrilateral with four sides and four angles. Adjacent sides are equal, and the diagonals bisect each other at 90 degrees.

Also, there is a pair of equal opposite angles.

From the diagram:

110 + (6x + 4) + (4x + 26) = 180 (sum of angles in a straight line)

10x + 30 = 70

x = 4

∠A = 4(4) + 26 = 42°

The measure of angle A in the kite before cutting the fabric is 42 degrees.

Find out more on kite at: https://brainly.com/question/386327

The vertices of a quadrilateral drawn in a coordinate plane are (-6,6), (4,6), (2,-5), and (-6,-9). what is the length of the side joining the vertex in quadrant i to the vertex in quadrant 11? a) 2 b) 8 c) 10 d) 12​

Answers

Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:

c) 10

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:

[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]

Which means that option C is correct.

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Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer: x>38

Step-by-step explanation:

By the exterior angle theorem, x=39+38=77.

What is 3x + 2y = 12 (show your work)

Answers

Answer:

y = (-3/2)x + 6

Step-by-step explanation:

3x + 2y = 12

2y = -3x + 12

÷2    ÷2    ÷2

y = (-3/2)x + 6

Slope: (-3/2)

Y-intercept: (0,6)

I hope this helps!

Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y

Answers

Answer:

[tex]\huge\boxed{\sf y = 4 }[/tex]

Step-by-step explanation:

Given Equations:

x = 3 --------------------(1)

x + y = 7 ---------------(2)

Step 1: Substitute Eq. (1) in (2)

3 + y = 7

Step 2: Subtract 3 to both sides

y = 7 - 3

y = 4

[tex]\rule[225]{225}{2}[/tex]

Rewrite 4 as a fraction.
4/4
4/1
1/4

Answers

Answer:

4/1

Step-by-step explanation:

when you divide 4 by 1 you will get 4 which is your original answer.

What is the length of side a? Round to the nearest tenth

Answers

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.

Find the area of the triangle b= 12.4 cm and h= 18 cm

Answers

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6

Hope this helps!!

Answer:

answer 111.6 cm^2.......

Click all the questions that are considered statistical questions. No links please. ​

Answers

Answer:

The first three are not statistical, the last three are.

Plese help me.....
GOD WILL BLESS YOU

Answers

4     11

8     22

16    n

8 x n = 22 x 16

n = 44

What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.

Answers

Answer:

14,464

Step-by-step explanation:

16,000 - 20% = 12,800

12,800 + 13% = 14,464

I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)

A polynomial p(x) has 3, 2-i, and √3 as its roots and goes through (0,-90), find p(x)

Answers

Answer:

  p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90

Step-by-step explanation:

Assuming the desired polynomial has real and rational coefficients, each of the complex and irrational roots has a corresponding conjugate. That is, the roots of p(x) must include ...

  {3, 2 -i, 2 +i, √3, -√3}

Each of these roots corresponds to a linear factor. Root p corresponds to factor (x -p), for example.

__

Factored form

Then the factored p(x) will be ...

  p(x) = k(x -3)(x -(2 -i))(x -(2 +i))(x -√3)(x +√3) . . . . for some scale factor k

Simplifying a bit, we have ...

  p(x) = k(x -3)((x -2)² +1)(x² -3) = k(x -3)(x² -4x +5)(x² -3)

__

Scale factor

At x=0, this evaluates to ...

  p(0) = k(0 -3)(0² -4·0 +5)(0² -3) = 45k

We want p(0) = -90, so we require ...

  45k = -90

  k = -2

__

Then the function p(x) factored to integers is ...

  p(x) = -2(x -3)(x² -4x +5)(x² -3)

When we multiply this out, we find the standard form equation is ...

  p(x) = -2x⁵ +14x⁴ -28x³ -12x² +102x -90

help me pls pls bro pls

Answers

Answer: 1/3

Explanation
If you do rhe rise over run method, you’ll see that the line rises over one and then “runs” over three squares until it meets the (4,6)

Please help!! 155 questions 2 hours in I need help!

Answers

Answer:

the first one And the first one only

Step-by-step explanation:

supplementary angles are angles that add up to 180.

Hope this helps! :)

23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
24. The speed of a skidding car is directly proportional to the
square root of the length of the skid. On a snowy road, a car
with good brakes traveling at 40 mph would skid approxi-
mately 178 ft. If the skid marks of a similar car on a similar
road were 400 ft, how fast would this car be traveling?
24. If the skid marks of a similar car on a similar road were 400 ft, how fast would this car be
traveling?

Answers

The direct variation that of the speed to the skid length implies that the speed increases as the length increases

The car would be traveling at 59.96 mph

How to determine the speed of the skidding car?

A direct variation that illustrates the speed of the skidding car is:

s = k√l

Where:

s represents the speed of the carl represents the length of the skidk represents the proportionality constant

Make k the subject in s = k√l

k = s /√l

Rewrite as:

s₁ /√l₁ = s₂ /√l₂

Substitute known values

40 /√178 = s₂ /√400

Evaluate the square root of 40

40 /√178 = s₂ /20

Multiply both sides by 20

800 /√178 = s₂

Evaluate the quotient

s₂ = 59.96

Hence, the car would be traveling at 59.96 mph

Read more about direct variation at:

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six times three added to seven

pa answerr-,-

Answers

6×3 added to seven is 25. Hope this helps.

Answer:

25 :) hope this helps you

:v

Which function has a constant additive rate of change of –1/4?.

Answers

A linear function has a constant additive rate of change, while a nonlinear function does not. For a table of values to be linear, the dependent variable must have a constant rate of change as the independent variable increases by 1.

Find the area of each triangle b= 12.4cm. h= 18 cm

Answers

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 12.4 \times 18 \\ 6.2 \times 18 \\ 111.6 {cm}^{2} [/tex]

What is the

Height?

Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.

Answers

Answer:

the answer is the number 23

The top one is correct

seven less than the product of a number n and 1/3 is no more than 95

Answers

First way : (1/3n) - 7 <= 95

Second way : 1/3 * n - 7 <= 95


<= (less than or equal to)
>= (more than or equal to)

help again thank you .

Answers

Answer:

Left 2, up 1

Step-by-step explanation:

If you use slope, remember rise/run. You go up then left.

Answer: left 2 up 1

Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps

Mika’s gym allows her to bring 3 guests for free. After the first three, she must pay $7 per guest. How many guests, g, can she bring to the gym if she pays $42?

Answers

Answer:

9 guests

Step-by-step explanation:

the first 3 guests are free and anyone after is 7 per guest

well if we divide 42/7 we get 6

and we add the 3 we get 9 guests.

This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.

A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft

Answers

Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

Median is the middle value from lowest to highest.
So you order the numbers in:
14, 15, 16, 17, 18, 19, 19, 22, 22
The middle value/number is 18

Helppppp!!!!!!!!!
I need this before midnight

Answers

Answer:

a) 9am

b) 10am

c) 50 miles

d) 30 minutes

e) 11:30

f) 90 miles

What is the probability of both coins landing on heads?



Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

and with the fractions and then divide the answer by 2.1

Step-by-step explanation:

Why is math super hard??

Answers

i honestly don’t know. It’s beyond stressful. Ever since Bill gates decided to put in “Common Core” in schools it became harder. Common Core in my opinion is useless, It teaches us nothing where going to use in life. Its unnecessary.
It is for some it isn’t for some

A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?

Answers

The answer would be .6 do 9/15

Identify the value of y.
7(5-5y) = 9y-4-357

Answers

Hey there!

Let's solve this equation!

The first step is to use the Distributive Property.

7(5-5y)=9y-4-357

35-35y=9y-361

Combine Like Terms:

-35y-9y=-361-35

-44y=-396

Divide both sides by -44:

y=9

Hence, the answer is:

[tex]\boxed{\boxed{\bold{y=9}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Which value for x makes this inequality true?



−5>x

Answers

hello!

This inequality says the following:-

-5>x

negative 5 is greater than x, which means x is less than -5:

x<-5

Now, Which values make this inequality true?

Since x is less than -5, then numbers less than -5 will make this inequality true.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

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