The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?​

Answers

Answer 1

Answer:

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Step-by-step explanation:

Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - x-coordinate of the point P.

[tex]y[/tex] - y-coordinate of the point P.

Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:

[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]

[tex]\theta \approx 105.001^{\circ}[/tex]

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Answer 2

Angle the given vector makes with the positive x-axis when measured counterclockwise is required.

The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.

Vectors

The given vector is (-7.765,28.978)

The angle is found by the formula

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

Here,

y = 28.978

x = -7.765

Substituting the given values we get

[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]

So, the required angle is

[tex]180-75=105^{\circ}[/tex]

Learn more about vectors:

https://brainly.com/question/25811261


Related Questions

Can someone help me on this?

Answers

Answer:

<2=107

Step-by-step explanation:

Alternate interior angles are congruent they have equal measure

The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?

Answers

Answer:

89.75

Step-by-step explanation:

Sorry if its wrong!

PLEASE HELP ME PLEASE

Answers

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((

Answers

Answer:

5 millimeters

Step-by-step explanation:

the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil

it would be amazing if you marked this brainliest :)

The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value.

Answers

The functions are given below.

Parabolic function y = -(x + 1)² + 9Mode function y = - |x + 2| + 10Logarithmic function y = 1.5 log(x - 1)What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graphs of the three functions are shown below.

The parabolic function is given as

y = -(x + 1)² + 9

The mode function is given as

y = - |x + 2| + 10

And the logarithm function will be

y = 1.5 log(x - 1)

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer: A, B, D

Step-by-step explanation:

Just took the instruction. Edge 2023

a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?

Answers

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

Which equation shows that the Pythagorean identity is true for 0 = 360°?
Select the equation that is in the form sin20 + cos20 = 1.
A. (-1)² +02 = 1
B. 02 + 12 =1
O c. 12 + 02 = 1
D. 02 + (−1)2 = 1

Answers

If the measure of an angle is 360°, then the value of sin²θ + cos²θ = 1 will be  0² + 1² = 1. Then the correct option is B.

What is a Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The equation is given below.

sin²θ + cos²θ = 1

If the angle is 360°. Then the equation will be

sin²360° + cos²360° = 1

                      0² + 1² = 1

Then the correct equation is B.

Learn more about the Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

Answer:

Step-by-step explanation:

it’s B

Which statement best describes the association between variable X and variable Y?

Answers

Answer:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

A local elementary school claims that 59% of its students bring their own lunch on a daily
basis. The principal surveyed 100 students and found that only 48% bring their own lunch.
What does the test statistic calculation look like in this situation for an appropriate
hypothesis test? (4 points)

Answers

Answer:

[tex]z=\frac{0.48-0.59}{\sqrt{\frac{0.59(0.41)}{100}}}[/tex]

Step-by-step explanation:

The z score in terms of the null hypothesis and surveyed statistic is in the form [tex]z=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}[/tex], (similar to [tex]z=\frac{x-\mu}{\sigma}[/tex]) where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and [tex]\hat{p}[/tex] is the statistic (in this case, 0.48). Finally, [tex]n[/tex] is the sample size, 100. Substitute in your values, and you get the above answer.

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

A local elementary school claims that 59% of its students bring their own lunch on a daily basis.

What is the z score in terms of the null hypothesis and surveyed statistic is in the form?

The z score in terms of the null hypothesis and surveyed statistic is in the form,

[tex]\frac{P-P_0}{\sqrt{P_0(1-P_0)/n} }[/tex]

where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and P is the statistic (in this case, 0.48)

Finally,  is n the sample size, 100.

Substitute in your values, and you get the above answer,

[tex]Z=\frac{0.40-0.59}{\sqrt{\frac{0.59(0.41}{100} } }\\ \\=-3.8630[/tex]

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

To learn more about the static calculation visit:

https://brainly.com/question/15869442

URGENT!!! PLEASE HELP

Answers

Answer: System 1 has an infinite number of solutions and System II has no solutions.

Step-by-step explanation:

If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.

If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.

Help me pls thanks so much

Answers

Answer:

B. (50.27)

Step-by-step explanation:  a = (pi)r^2

8/2 = 4

4^2 = 16

16(pi) = 50.27

You're welcome :)

Answer:

=50.285714

Step-by-step explanation:

Area of a circle is equal to πr^2

diameter = 8 so radius = 4

22/7x4x4

22/7x16

=352/7

=50.285714

The value of which of these expressions is closest to e ?

Answers

B I did this to it’s pretty easy

Answer: B.

Step-by-step explanation: took the quiz.

What is the area of a circle that has the diameter of 4?

Answers

The answer to this question is A≈12.57

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

Using the graphing function on your calculator, what is the solution to the system of equations show below?
y + 2x5
4y+ 5x = 14
A. x=2, y=1
B. More than 1 solution
C. x= 1, y = 2
D. No solution

Answers

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

Does a triangle with these side lengths exist?
28, 41, 13

Answers

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

I need help with both of these please..

Answers

Answer:

20. bcg

21. 124

Step-by-step explanation:

help fast i’m bad with math help

Answers

Answer:

D. She should find the average of 4.4 and 4.5

Explanation:

(4.4 + 4.5)/2 = 4.45

4.45² ≈  19.80

4.45² is closer to 20 than 4.4² and 4.5²

next she will repeat the same process: (4.45 + 4.5)/2

9)
Find the average rate of change for f(x)= x to the second power+ 7x+10 from x= 0 to x= 2
.

Answers

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

does anyone know the answer for this?

Answers

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

___ - 35 = -103
answer fast pls

Answers

Answer:

-103 + (-35) = -138

138 - 35 = -103

138= answer

Step-by-step explanation:

yw <3

Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?

Answers

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

2/10, i believe this is pretty self explanatory

HELP! ILL GIVE BRANLIEST :(

Answers

Answer:

B

Step-by-step explanation:

since x is GREATER than -25, the shaded part has to be on the right of -25

Answer: B

Step-by-step explanation:

4.2+7/20=420/100+BLANK/100

Answers

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

What quadrant does Cos A < 0, Tan A < 0

Answers

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants


WILL MAKE BRAINLIEST!!

find the slope of each line

Answers

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

i) It takes the climber 800 seconds to climb to the top of the cliff.
During this time the energy transferred to the climber equals the work done by
the climber.
Calculate the power of the climber during the climb.
Power =
W
(Total 5 mar
Page 6 of 6​

Answers

Answer:

gracias por lo 20 puntos

Step-by-step explanation:

What combination of transformations is shown below?

Answers

Answer:

B. or the second one

Step-by-step explanation:

Rotation then reflection


The probability of the car having 4 doors is 1/2
What does that mean?

(A)It is neither unlikely nor likely
(B)It is likely
(C)It is impossible.
(D)It is definite.

Answers

Answer:

(A)It is neither unlikely nor likely

Step-by-step explanation:

answer is b

hope this helps

3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes​

Answers

Answer:

First coin Second coin outcome

H T HT

T H TH

T T TT

Step-by-step explanation:

First coin     Second coin             outcome

H               T                               HT

T               H                               TH

T               T                                TT

Other Questions
please answer correctly. i will give brainliest!! Jaime says that the value of -1 x n is always equal to the value of n = (-1) for allvalues of n.Explain whether Jaime is correct or incorrect. How did the Flood of 1927 help Huey Long win the 1928 Louisiana gubernatorial election? A) The fishermen and farmers in southern Louisiana lost their homes during the flood and decided to vote for him. B) Wealthy plantation owners wanted to continue the trend of saving money by paying their workers meager salaries. C) Large corporations backed Long because they wanted taxes reduced in order to rebuild their destroyed structures. D) Construction bosses did not want the levees rebuilt south of New Orleans because of another potential flood occurring. o find out the elevation of an area, you would use a _____________ , A) relief map B) population map C) climate map The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee? en que conciste la funcion de relacion? i) It takes the climber 800 seconds to climb to the top of the cliff.During this time the energy transferred to the climber equals the work done bythe climber.Calculate the power of the climber during the climb.Power =W(Total 5 marPage 6 of 6 Which of the following sentences is from a firsthand biography? Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highestvotes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen? the product of a number and two more than the number .. what is the expression? What structure in a cell contains the genetic information? A LysosomeB RibosomeC NucleusD Mitochondria hallar el numero de intervalo de33 - 11= 22 Match each term in the left column with its definition from the right column. ______ 11.Quran a. Islamic code of law ______12. five Pillars of Islam b. holy book of Islam ______13. shariah c. customs based on Muhammads words and deeds ______ 14. sunna d. Muslim acts of worship What is the area of a circle that has the diameter of 4? How do you solve this? I really don't understand... Helppppp meeeee. Plzzzzz its due in 5 minutes and is half my grade:(((((((((;((((((( The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value. Which describes the number and type of roots of the equation x^3 + 121x = 0? a. 2 real roots, 1 imaginary root b. 1 real root, 2 imaginary roots c. 3 real roots d. 3 imaginary roots can u guys help me with this Im doing this againThis time it still has to do with those who watch anime but it has to be more specific this timeWhat is your favourite genre?? And why is it your favourite??Whats your favourite anime??How long have you watched anime???Do you reallyyyyy like anime or only watch it because its a trend or your friend forced you to???Do you like yuri on ice??? Or love stage??? UwU Have you watched asobi asobase??? (If so, lets be friends!!!!!!! :3)Once again, please do not answer this question if you do not watch animePlease and thank you (`)