A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP

Answers

Answer 1

A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant Remember that any  can be written as a coordinate like this: (AcosΘ,AsinΘ) where A is the magnitude of the object and Θ is the directional angle. So for the car travelling 20km north, that vector can be written as: (20cos90°, 20sin90°) Then when the car drives northwest at 60 degrees, that vector can be written as: (35cos150°, 35sin150°) (do you see why I it's 150°?) Then, simply calculate each of these coordinates, add them up, and then that resulting coordinate is the coordinate of the resulting displacement vector. (20cos90°, 20sin90°) = (0, 20) (35cos150°, 35sin150°) = (-30.31, 17.50) Displacement vector (x, y) = (-30.31, 37.50) With this, we can calculate the magnitude which is \displaystyle \sqrt{x^2+y^2}  x  2 +y  2  ​ . Thus: Magnitude = \displaystyle \sqrt{(-30.31)^2+(37.50)^2}=48.2km  (−30.31)  2 +(37.50)  2  ​ =48.2km The resulting directional angle is then \displaystyle \tan^{-1}(\frac{y}{x})+\pitan  −1 (  x y ​ )+π. Adding \displaystyle \piπ is only necessary when x < 0 in order to put us in the proper quadrant. Thus: Direction = \displaystyle \tan^{-1}(\frac{37.50}{-30.31})+\pi=2.25\ radians=128.9°tan  −1 (  −30.31 37.50 ​ )+π=2.25 radians=128.9° ges ok HOPE THIS HELPS :):0

Related Questions

will mark brainliest ​

Answers

Answer:

115

Step-by-step explanation:

Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Answers

Answer:

Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Step-by-step explanation:

A company makes a profit of $1.38 million. This is $2.54 million more than last year. What was the profit last year?

The answer also asks for us to fill in the blank; "The profit last year was $__ million, so I need help filling in the blank.​

Answers

Answer:  -1.16

The "million" part is already taken care of by your teacher.  

====================================================

Explanation:

x = profit last year (millions of dollars)

x+2.54 = profit this year, which is 2.54 million more than last year

x+2.54 = 1.38

x = 1.38-2.54

x = -1.16

The profit last year was -1.16 million dollars

This is the same as writing -1,160,000 dollars of profit.

A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).

Someone help plz make sure it’s right will make brainiest:)

Answers

Answer:

it's ether 1 or 2

cuz the slope is 1/3

Answer:

It is 2

Step-by-step explanation:

Which is y=1/3x + 10/3

Toby picks a 4-digit number.
It is larger than 2999 and it is a multiple of 2.
How many different numbers could he have picked?

Answers

Let’s reduce this question into easier terminology.

The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).

Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.

For every thousand, there are 1000/2 = 500 multiples of 2:

500 multiples between 3,000 and 3,999

500 multiples between 4,000 and 4,999

and so on until 9,999. So there are

7*500 = 3500 multiples of 2 in this range.

Toby could have picked 3500 possible numbers.

A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please

Answers

Answer:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Step-by-step explanation:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = 14\frac{1}{4}

4

1

× 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Colleen divided integer a by −2 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b.


a
b
= 6

Answers

Answer:

hen she divided 9 by integer b and got −3. Find. Colleen divided integer a by −5 and got 9. Then she divided 9 by integer b and got −3. Find the quotient of integer a and integer b. a b = Categories Uncategorized. Leave a Reply Cancel reply. Your email address will not be published.

Step-by-step explanation:

PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m

Answers

Lol give me a second

Choose the correct answer​

Answers

Answer:

b) 50 degrees

Step-by-step explanation:

I'm not sure if it 100% correct but this is what i remember:

BCE is a straight line and a straight line is equal to 180 degrees.

If AB=AC then the angle of both those corners will be 180-115

which equals to 65 degrees (both angles)

Now because all corners of a triangle add up to 180

you can do 180-65-65 which is 180-130

this equals to the angle BAC which is 50 degrees

Use the number line to help you decide which statement is true.
(A)
(B)
(C)

Answers

Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

PLEASE HELP complete the construction a perpendicular line to segment AB through point P.

Answers

Answer:

.

Step-by-step explanation:

sorry i can't help

Chris
goes to a shop to buy meat, vegetables and fruit.
(a) The costs of the meat, vegetables and fruit are in the ratio
meat : vegetables : fruit = 2:2:3.
The cost of the meat is $2.40.
Calculate the total cost of the meat, vegetables and fruit.

Answers

Answer:

meat = $2.40

vegetables = $ 2.40

fruit = $2.40 + X

= 2.40 ÷ 2

= 1.2

therefore 2.40 + 1.2

=$3.6 (For fruits )

= $3.6 + $2.40 + $2.40

= $ 8.4

Hope this helps .Plzz mark me brainliest

The total cost of the meat, vegetables and fruit is $8.4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the costs of the meat, vegetables and fruit are in the ratio meat : vegetables : fruit = 2:2:3.

The cost of the meat is $2.40.

Let the total cost of the meat, vegetables and fruit be x.

Now, 2+2+3=7

So, 2/7 ×x=2.40

2x=2.40×7

2x=16.8

x=8.4

Therefore, the total cost of the meat, vegetables and fruit is $8.4.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi


Show your work and leave your answer it terms of pi

Answers

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

Match the pairs of equivalent expressions.

Answers

i would say y + 2/5y is the equivalent expression of 7/5y and y - 2/5y is the quivalent expression of 3/5y but im not sure

PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answers

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)

jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98

jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13​

Answers

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!

Answers

Answer:

30 many shoot basket did he make

tbh ive fogotten how to do all of these so plz helpppppppppp

Answers

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

a new car increased in price from 78200 to 136850 what is the percentage increase

Answers

Answer:

The percentage increase is by 1.75

Step-by-step explanation:

78,200 x 1.75 = 136,850

Here's a question ~

can anyone give the explanation ?​

Answers

Answer:

See below

Step-by-step explanation:

As per the question we have:

The y - intercept is b = -1The slope has same angle with x- and y - axis.

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

y = x - 1 ory = -x - 1

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

y=-x-1

For slope 1

y=x-1

Can someone help please

Answers

i think it’s 146 irdk
The angle G and the angle 34 are alternate exterior angles. The alternate exterior angle there on tells us that these angles are congruent(the same measure). Which means angle G = 34. The answer is A

can someone please help me as soon as possible​

Answers

Answer:

a quadratic function is letter A

so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer

Answers

Answer:

hey do you want money if yes then tell me I will give you 1000$

four more than the quotient of a number and six. write in algebraic expression

Answers

Answer:

4+n/6 (the slash means a fraction with n on top.) <3

Step-by-step explanation:

Consider the system of equations.

y=3x−2−7x−2y=−9
Solve the system of equations algebraically.

Answers

Answer:

(x, y) = (-5/13, -41/13)

Step-by-step explanation: (Assuming the following corrections:)

y = 3x-2

-7x-2y = 9

-7x-2(3x-2) = 9

-7x-6x+4 = 9

-13x = 5

x = -5/13

y = -5/13(3) - 2

y = -15/13 - 2 = -41/13

hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?

Answers

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

Need help! Solve for X on both

Answers

for the first question it is x=7. For the second equation it is x=3
Other Questions
Which of following statements summarizes why the United States is one of the most ethnically diverse countries in the world? The United States is composed of only European, African, and Latin American SettlersThe United States is composed of only European, African, and Latin American Settlersa.People migrate to the United States from all over the world for economic opportunities and political freedoms that they may not have in their own countriesb.People migrate to the United States from all over the world for economic opportunities and political freedoms that they may not have in their own countriesc.The United States is a country of immigrants from a handful of countriespls i have a test due by the end of class and i need a 100 hurry up make sure its right no files or viruses pls!40 pts if u answer this Ordered pairs are ordered as (x,y) What is the constant of proportionalityfor the ordered pair (-2,18)? Which immunization is available to prevent communicable disease and illness?O diabetesO measlesbronchitisstrep throat At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let be the number of adults going to the movies. Enter an algebraic expression in the box to represent the total price Shandra pays. Do not include the dollar sign in your answer. Nathan usually drinks 33 ounces of water per day. He read that he should drink 63 ounces of water per day. If he starts drinking 63 ounces, what is the percent increase? Round to the nearest percent. what is the increase in percent(not over 100) 1. Given (11,7) and (x,5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.2. Find the standard form of the equation for the circle with the following properties.Center (8,7/3) and tangent to the y-axis As curator at the museum, you are hosting a new collection that showcases different elements and principles of art. A new piece of art arrives that id filled with the most vibrant colors you have ever seen. You are responsible for sorting the art and placing each piece into the correct area of the exhibit. Based on your evaluation of this piece, where do you conclude it should BEST be placed? A. TextureB. LineC. ShapeD. Hue write 5,004,300 in standard form What are the coefficients in the equation?- 2x + 4 = 15x When did the united states start to cut back its military aid? Find the rate of change demonstrated in the graph below. Please Help Geometry Im not sure what theyre asking me to do A bowling ball and a balloon might have the same _____ , but a different _____ .Mass, volumeWeight, densityVolume, massDensity, weight ******Please help me help please help me ****** NO LINKSSSS PLEASE!!!Salt is added to water at room temperature, and the solution remains at room temperature. Which of the following does not apply to the more concentrated salt solution?Select one:a. It has a higher boiling point than water.b. It has a greater electrical conductivity than water.c. It has a lower freezing point than water.d. The salt absorbs energy from the water. 10 greater than less than, or equal to 5? Explain The Articles of Confederation gave the U.S. national government the power to... Answer for points ig Ill thank it When can sentence fragments actually make a piece of writing MORE effective?A. in an introductory paragraph of an essayB.during dialogue in a novelC.in a concluding paragraph of an essayD.in a descriptive passage in a novel