A vector has a horizontal component of 14 and a vertical component of 36. Find the direction angle and the magnitude. Direction angle?

Answers

Answer 1

Answer:

The direction angle is 68.73 degrees and its magnitude is 38.62.

Step-by-step explanation:

Given that,

The horizontal component of a vector = 14

The vertical component of a vector = 36

Let the magnitude of a vector is v. So,

[tex]v=\sqrt{14^2+36^2} \\\\=38.62[/tex]

For direction,

[tex]\tena\theta=\dfrac{y}{x}\\\\=\dfrac{36}{14}\\\\\theta=\tan^{-1}(2.57)\\\\=68.73^{\circ}[/tex]

So, the direction angle is 68.73 degrees and its magnitude is 38.62.


Related Questions

The fraction 5/8 is equivalent to-

A. 0.0625%

B. 625%

C. 0.625%

D. 62.5%

Answers

Answer:

C. 0.625%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5 divided by 8 is .625

Which theorems prove that triangles SRP and QRP Are Congruent. Check
all that apply*

A. SSS
B. SAS
C. AAS
D. ASA
E. HL

Answers

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : [tex]PS=PQ[/tex]             (Given)

Legs of triangles : [tex]SR=QR[/tex]             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

[tex]\Delta SRP\cong \Delta QRP[/tex]            (HL postulate of congruence)

Therefore, the correct option is E .

Question 1: A ratio of 28 to 12 can be expressed in simplest form as:
8:5
9:4
7:3
14:9

Answers

It’s 7:3
Explanation
It’s 7:3 because 28 divided by 4 is 7 and 12 divided by 4 is 3

PLZZ NEED HELPP ANDD FASSTT ⚠️⚠️⚠️⚠️

Answers

Answer:

d

Step-by-step explanation:

Answer:

the answer for your question is B.

Find a point on the line and the line's slope. y+5=1/2(x+1)

Answers

Answer:

slope is 1/2

y intercept is (0, -92)(9,0)

Step-by-step explanation:

I don't- I don't know i need help

Answers

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.

Definition of vertex

Answers

a point we’re two lines intersect or meet

I WILL GIVE BRAINLIES!!!
Rewrite 15x + 3y = 27 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 15x − 3y = 12 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 2y = 16 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Answer:

y=-5x+9

m=-5

b=9

y=5x-4

m=5

b= -4

y=8

m=0

b=8

Step-by-step explanation:

Answer:

1) 15x + 3y = 27 in slope-intercept form.

→y=-5x+9

→m =-5

→b =(0,9)

2) 15x − 3y = 12 in slope-intercept form.

→y =5x-4

→m =5

→b =(0,-4)

3) 2y = 16 in slope-intercept form.

→y =8

→m =0

→b =(0,8)

If H between J and K and JH = x + 5 and HK = 2x + 10 and JK = 33. what is JH?​

Answers

The answer to your question is 11

.

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673 Divided by 25?

None of these is correct.

250

50

500

Answers

Answer:

500

Step-by-step explanation:

hope this helps

Pls Help thanks :)



......

Answers

1. Given
2. Addition property
3. Division property

Please help me ill give you brainlest

Answers

Answer:

12.25 and 12.6 per hour

Step-by-step explanation:

For number 2, you take the amount of cookies, x, and divide it by the number of hours, a, and you get x / a = 12.25 or 12.6

For number 3, you do the same as in number 2, you take the pages read, x, divided by the time, a, and get x / a = s

s = 2 and 0.5

Examine the work shown. Explain the error and find the correct result. 2(4 - 16) - (-30)
2-12) - (-30)
24 - (-30)
54​

Answers

Answer:

-54

Step-by-step explanation:

When you solve any equation always remember to use PEMDAS (Parentheses Exponents, Multiplication, Division, Addition and Subtraction) use also move left to right. The correct way to solve this is

2(4-16)-30

2(-12)-30

-24-30

-54

Hope this helped

Answer:

Step-by-step explanation:

Third line. "24 - (-30)" has to multiply 2 with -12, so it would be "-24" and not "24".

2(4 - 16) - (-30)

2(-12) + 30

-24 + 30 = 6

Number 13 ASAP ASAP thanks
And 14 if you don’t mine pls

Answers

Answer:

C - $8.75

Step-by-step explanation:

I'm pretty sure if you divide 3.75 by 3 you will get the amount of $ for a bag of soil which is around $1.25/per bag. And then if you multiple $1.25 for 7 bags you will get $8.75

Answer:

13) C

3.75/3=1.25

1.25×7=8.75

14) C

Y'all what it 10/7 divided by 4

Answers

Answer:

.........

Step-by-step explanation:

10/7 x 1/4

10x1/7x4

10/7x4

10/28

5/14

Hope I helped

5/14 is your answer

1. In a supermarket, each orange costs $3, and each apple costs $2. If you want to spend
exactly $45, write an equation in standard form modeling this situation. Let o represent
the number of oranges you buy, and a represent the number of apples you buy.

Answers

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

which other expression has the same value as (-14)-8? Explain your reasoning

Answers

Answer:

It would be D. (-14)+(-8)

Step-by-step explanation:

It is D. Because when you add -8 and -14 you would get the answer -22

Hope this helps!

Heeelpp asapp

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Answers

Answer:

IYEs

Step-by-step explanation:

YEs

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player? (2 points)

a
0.135%

b
0.875%

c
49.875%

d
99.875%

Answers

This answer did not come from me but credit to ApusApus
We have been given that adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall.
We need to find the area of normal curve above the raw score 79.
First of all let us find the z-score corresponding to our given raw score.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,



Now we will find the P(z>3) using formula:


Using normal distribution table we will get,


Let us convert our answer into percentage by multiplying 0.00135 by 100.

Therefore, approximately 0.135% of the adult male population is taller than the average basketball player and option A is the correct choice.

Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2

Answers

Answer:

a, b, c

25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)

Step-by-step explanation:

The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C

How to simplify the Algebra?

We want to find the expression equal to 25x⁴ - 64

A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64

B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64

C) (5x² + 8)(5x² - 8)

Expanding the bracket gives;

⇒ 25x⁴ - 64

D) (x² + 13)(x² - 13)

Expanding the bracket gives;

⇒ x⁴ - 169

E) (5x² - 8)²

Expanding the bracket gives;

⇒ 25x⁴ - 5x² + 64

Looking at all the answers, only options A, B and C are correct

Read more about simplification of Algebra at; https://brainly.com/question/723406

1. If f(x) = 5X - 2 Find f(4)

Answers

Answer:18

f(x) = 5x - 2

=> f(4) = 5.4 - 2 = 20 - 2 = 18

Step-by-step explanation:

Answer:

18 hope it will help you

What are two different coin combinations that can equal 30% of a dollar?

Answers

3 dimes, 30 pennies , a quarter and a nickel , a dime and 20 pennies. (just add up to 30)

what is .61 plus .004 plus .3

Answers

Answer:

6576

Step-by-step explanation:

Answer:

0.914

Step-by-step explanation:

0.61 + 0.004 = 0.614

0.614 + 0.3 = 0.914

Solve the fraction 11/12 + 1/2 + 3/4

Answers

Answer:

2 1/6

Step-by-step explanation:

find common denominator: 12

11/12

1/2=6/12

3/4=9/12

add:

11/12+6/12+9/12=26/12

simplify:

26/12=13/6=2 1/6

hopefully this helps :)

ok so you need to make them all have the same denominator which would be 12. 11/12 + 6/12 + 9/12= 26/12 that would be improper form, mixed for would be 2 2/12 but that isnt simplest for so make it 2 1/6

Simple answer
Mixed Form: 2 1/6
Improper Form: 26/12

Convert 240 meters into hectometer with solution​

Answers

Answer:

Step-by-step explanation:

1 metre = 0.01 hectometre

240 metre = 2.4 hectometre

What is 7.25 in expanded form?

Answers

Answer:

expanded form:- 7+2/10+5/100

Step-by-step explanation:

Answer:

7 * 1 + 2 * 0.1 + * 5 * 0.05

P.S * is the same thing as times.

Step-by-step explanation:

Please help out , thank you

Answers

Answer:

4

Step-by-step explanation:

According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).

The answer is 4 that the answer

My little sister wanted me to explain this to her but I forgot... someone please help me
30% of x = 12

Answers

30% = 0.30

0.30x = 12

Divide both sides by 0.30

X = 12/0.30

X = 40

Answer:

x=40

Step-by-step explanation:

30% is the same as 3/10.

-So now you have 3/10 of x = 12.

The term “of” in the equation is the same as multiplication.

-So now you have 3/10 · x = 12 (the dot is multiplication)

Multiply both sides by the reciprocal of 3/10, which is 10/3

-So now you have x=120/3, which is equal to x=40 (that’s you answer)

You can check your answer by plugging in 40 for x.

30% of 40 is indeed equal to 12.

Hope this helps and answers your question :)

jermey has a weekend job as soccer referee. one weekend, he earns $140 by working 4 games. another weekend he earns $210 by working 6 games. if jeremy graphed an equation that represented his total earning based on the number of games worked, what would be the slope of the graph

Answers

Answer:Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.

Jeremy's equation

y= 35x

m=35

I think the answer is 35

What is the slope-intercept form of a line that passes through points (7,16) and (1,4)?
y=-2x-6
y=2x+6
y=-2x+2
y=2x+2
Plz answer quick!!!!

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

The formula is y = mx + b, and to find the slope it's y2-y1 / x2-x1, so you do 4-16 = -12 and 1-7 = -6, and -12/-6 = , so your slope is 2.

Then you use one point and put it into your equation ex: 4 = 2(1) + b and simplify to find the y-intercept (b).

Then that's your answer!

Hope this helps!

Other Questions
If an object is not moving, it has no A. potential energy B. kinetic energy c. elastic energy D. nuclear energy Voters cast ballots in great numbers in a year when there is an election for Which ancient Chinese era is missing in the timeline above? Can u show me were these go on the picture: Inner coreCrust/lithosphereLower mantleOuter coreUpper mantleCrustAsthenosphere 20000+8000000+4+3000+900 I can't breathe, I'm waiting for the exhaleToss my pain with my wishes in a wishing well can yall help me with this Maria said that -4n + 3 +9n - 4 is equivalent to 4n. What error did maria likely make? What is one technological advancement created by the Romans that is still used today?catapultsconcreteaqueductsaccounting How can real life problems involving one variable be modeled and solved? can someone put < or > for these questions pls He has dissolved Representative Houses repeatedly, for opposing with manly firmnesshis invasions on the rights of the people.- Declaration of IndependenceWhich principle of the Constitution addresses the above grievances in the Declaration of Independence?ARepublicanismBPopular sovereigntyLimited GovernmentDFederalism Which of the criminal justice careers discussed in this unit do you think would be most challenging? Why? Which of the following word pairs correctly completes the sentence below? The _______ energy from the _______ arrives in the form of visible and invisible light. A. Sun's, Earth B. Earth's, Sun C. Moon's, Earth D. stars', Moon Which equations are equivalent? Select all that apply.2n + 4n + 3 = 513n + 4 + 5n = 523(2n + 6) = 368n + 4 = 524(2n + 1) = 52 the mid point of ab m(1,-1). if the coordinates of a are (7,-4) what are the coordinates of b Plz someone help me get these right ill give 50 points and brainlist if there ALL right!!The diagram below represents some events that take place in plant cells.(IMAGE 2)In which organelle would the above events most likely occur?ribosomemitochondrionchloroplastcytoplasmCellular respiration occurs in a series of steps. If pyruvate enters the mitochondrion, how much total energy can we assume will be produced?2 molecules of ATP14 molecules of oxygen8 molecules of pyruvic acid38 molecules of ATPThe graph below represents the absorption spectrum of chlorophyll.(IMAGE3)The graph indicates that the energy used in photosynthesis is most likely obtained from which regions of the spectrum?green and yelloworange-red and violet-blueyellow and orange-redviolet-blue and greenHow do the number of chromosomes in an organism's egg cells compare with the number of chromosomes in her body (somatic) cells?There are twice as many chromosomes in egg cells.The number of chromosomes is the same in both.The number of chromosomes depends on the size of the scorpion.There are half as many chromosomes in egg cells.PLS, Someone help me I need these right!!!Also the images are in order!!! Some percussion instruments can play pitches andmelodies. Which of these percussion instrumentscan play pitches?A MaracasB XylophoneC DrumD Bongos Which of the following is a compound sentence? A. She thought and worried about the problem for several weeks. B. She inquired about a temporary secretary, but the cost was far too high. C. When she finally approached the task, the pile of paperwork was enormous. D. For too long, Ms. Simmons paid little attention to the paperwork on her desk. Grade six math, Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool