Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?

Let |r| = 6 At An Angle Of 30 And |s| = 11 At An Angle Of 225. Which Expression Represents |r S|?

Answers

Answer 1

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

What are vectors?

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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Related Questions

a gold and diamond bracelet sells for $1800 . find the sales tax and the total price if the sales tax rate is 5.5% .

Answers

Answer:

Sales Tax In Amount =$99

Total amount of purchase = $1899

Step-by-step explanation:

First, let's find sales tax price in amount(dollars)

(Total Amount)*(percentage of tax)/100=Tax in amount

(1800)*(5.5%)/100 = $99

Therefore, the sales tax in amount would equal to $99, which is the same as 5.5%.

Now, let's find the total price of the purchase.

$1800+$99= $1899

So, the total cost of the purchase would equal to $1899.

The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, the original price of  a gold bracelet is $1800 and there is a sales tax of 5.5% on it,

Sales tax = 5.5% of 1800

= $99

The total price = 1800 + 99 = $1899

Hence, The price of the gold bracelet after adding sales tax is $1899 and sale tax is $99.

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) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).

Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.

Answers

The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

How to write the program

From the question, we have the following parameters:

Accept inputs of integer, float, character and stringPrint the inputs on a line separated by space

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

See attachment for complete program and the output of the program execution

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Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit

Answers

The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.

What is profit maximization?

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.

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help me please i’ll do anything

Answers

Answer:

[tex] \sqrt{145} [/tex]

Step-by-step explanation:

I think you've been tricked 2 root 37 = root 148

What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?

Answers

Answer: just be positive

Step-by-step explanation:

Discussion Topic
How did the United States' entry into World War I change the culture and
international political policies of the country?

Answers

WORLD WAR I

The United States' entry into World War I led to a rise in nationalism and patriotism, as well as a shift towards a more interventionist foreign policy. This had a lasting impact on the culture and international political policies of the country.

Explanation:

The United States' entry into World War I marked a significant shift in the culture of the country. Prior to the war, the United States had maintained a policy of isolationism, with a focus on avoiding involvement in foreign conflicts. However, the country's entry into the war marked a shift towards a more interventionist foreign policy, as the United States began to take a more active role in international affairs.

HOPE IT HELPS!

Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15

Answers

Answer:

2/15 6/15 8/15 9/15 12/15

Step-by-step explanation:

Answer: 2/15, 6/15, 8/15, 9/15, 12/15.

Step-by-step explanation:

Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:

8, 2, 9, 6, 12

Now rearrange from smallest to largest:

2, 6, 8, 9, 12

Now just put the denominators back in under the arranged numbers:

2/15, 6/15, 8/15, 9/15, 12/15

Words and their definitions:

Numerator: Top part of the fraction

Denominator: Bottom part of the fraction

Jen has some buttons. She gets
23 more buttons from her mom.
Now she has 65 buttons.
How many buttons did
Jen have to begin with?

Answers

Answer:

x + 23 = 65

x = 42

She had 42 buttons to begin with.

A bike shop purchased 12 mountain bikes wholesale for $ 189 . They want to make a 25 % on each bike. What is the sale price of the mountain bike after markup?

Answers

The cost of the Bike wholesale after the markup is $236.25

How to determine the cost after the markup

From the question, we have the following parameters that can be used in our computation:

Bike wholesale = $189

Markup = 25%

The cost of the bike wholesale after the markup is then calculated as

Cost = Bike wholesale * (1 + markup)

Substitute the known values in the above equation, so, we have the following representation

Cost = 189 * (1 + 25%)

Evaluate the products

Cost = 236.25

Hence, the cost is $236.25

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Factorize:3a-6b+ax-2bx.

Answers

Answer:

(3 + x) ( a -2b)

Step-by-step explanation:

3a - 6b + ax - 2bx

3a + ax - 6b - 2bx

a(3 + x) - 2b (3 +x)

(3 + x) (a - 2b)

Answer:

(a-2b) (3+x)

Step-by-step explanation:

(3a-6b)+(ax-2bx)

(3a+ax)-(6b-2bx)

a(3+x)-2b(3+x)

(a-2b) (3+x)

Thanks

Hope it helps

A quadrilateral with 4 congruent sides and 4 right angles is?

Answers

The answer to this problem is: A Square

PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.

c = 87
c = 8.5
c = 35
c = 10

Answers

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

Explain trigonometry.

Trigonometry is a discipline of mathematics that examines relationships between triangles' angles and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Given :

In triangle LMN,

m∠L = (4c + 53)°.

∠L  = 87°

To find the value of c:

87° =  (4c + 53)°

=> 4c = 87-53

=> 4c = 24

=> c =6

Therefore , the solution of the given problem of trigonometry comes out to be c =6.

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PLEASE HELP! 2 Images below! Have a great day!

Answers

Answer:

b

Step-by-step explanation:

so 0.5x is a slope of 1/2, which is rise 1 | run 2, and b matches that!

PLEASE HELP AND ANSWER THE QUESTION

Answers

40 40 = 80
110 10 = 200

What is the domain of the function below?
A) x < 2
B) x ≤ 3
C) x ≥ 2
D) All Real Numbers

Answers

Answer:

I would say (option A)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values can be any number. Therefore, we have all real numbers as our domain:

→ A) x < 2.

Hope this helps!

The formula to find the area of a triangle is  A=12bhA=12bh . What is the area of a triangle that has a base of 5 and a height of 4? ​

Answers

answer: 240 square (whatever measurement it is)

step-by-step explanation:
A=12bh it’s great you knew that
so just add in the numbers
A=12(5)(4) or 12 • 5 • 4
A=240

How many hours will it take to hike 15 miles

Answers

Answer:

1 hour and 15 minutes.

Step-by-step explanation:

Average Hiking Speed is generally between 1 MPH to 3 MPH depending on how much hill (vertical gain) is involved, amoung other factors. Based on the plan you entered above TrailsNH estimates your average hiking speed to be closer to 1.5 MPH, or 3h 23m of moving time for a 5 mile hike up 2000 vertical feet of elevation gain. Compare that with Naismith's Rule which says your average hiking moving time is around 2h 36m.

I calculate Your Estimated Hiking Time by taking Naismith's Rule and applying an adjustment to match your plan. The adjustment (currently calculated as +30%) uses a sliding scale to add or subtract the effort involved. Your plan is currently set as: pace = Normal, treadway = Rough, and pack weight = Regular.

Naismith's Rule estimates hiking time on reasonably easy ground based on 19½ minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. For example: A 2 mile hike over a 500 foot hill, Naismith's Rule estimates will take 52 minutes. That is a pace of 26 minutes per mile, or an Average Hiking Speed of 2.3 miles per hour.

Book Time estimates hiking time in the mountains based on 30 minutes for every mile, plus 30 minutes for every 1,000 feet of ascent. This is the estimate commonly used in guide books. For example: A 2 mile hike over a 500 foot hill, Book Time estimates will take 1 hour and 15 minutes. That is a pace of 37 minutes per mile, or an Average Hiking Speed of 1.6 miles per hour.

So since you take 30 minutes to hike one miles we add them up or do multiplication it will take 4 hours and 50 minutes

Helpppppppp please!!!!!!!!!!!

Answers

Answer:

a. (4, 13/6)

b. (4, -5/6)

c. (4,  5/6)

Step-by-step explanation:

sorry if it is not right.

the graph of a function f is the collection of ____________ or (x,f(x)) such that x is in the domain of f

Answers

Answer: ordered pairs

An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram. What is the area, in square units, of parallelogram ABCD? Enter your answer in the box.
In the new logo, what fraction of the parallelogram is shaded.

Answers

a. The area of the parallelogram ABCD in this problem is given as follows: 24 units squared.

b. The fraction of the area of the parallelogram that is shaded is given as follows: 1/4. (option C).

How to obtain the area of a parallelogram?

The area of a parallelogram is given by the multiplication of the length of the base by the height, as follows:

Area = base x height.

The base and the height for this problem are obtained counting the number of dots, hence:

Base: 4 units.Height: 6 units.

Hence the area is given as follows:

Area = 4 x 6

Area = 24 units squared.

The shaded region is composed by a triangle with base 4 and height 3, hence:

Area shaded = 0.5 x 4 x 3 = 6 units squared.

(formula for the area of the triangle).

Meaning that the fraction is given as follows:

6/24 = 1/4.

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Pls answer quickly i give LOTS OF POINTS. (No bots or links pls)

Answers

5 or 6 I think! Sorry if wrong

9. As part of a class project, Areeb collected $126 in donations for a local
hospice. That amount was 7% of the total amount collected by the class.
How much money did the class collect in all?

Answers

Answer:

So you're given that 7% is $126, and you have to find 100%. In order to do this you could set up proportions. 

1) 126/7=x/100

Next you can cross multiply and you'll get:

2) 12600=7x

Now divide each side by 7

3)12600/7=7x/7

And simplify

4)1800=x

Solution: $1800

Step-by-step explanation:

Find the distance around each figure. Use 3.14 for pi. 5 feet for radius

Answers

Answer:

C≈31.42ft

Step-by-step explanation:

Solution

C=2πr=2·π·5≈31.41593ft

Malcolm is driving 1,273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first
day and 384 miles the second day. Round each distance to the nearest ten and estimate about how many miles
Malcolm has left to drive.

A.480 miles
B.470 miles
C.500 miles
D.400 miles

Answers

9514 1404 393

Answer:

  B.  470 miles

Step-by-step explanation:

Using numbers rounded to the nearest 10, the remaining distance is ...

  1270 -420 -380 = 470 . . . . miles

Please answer I need this AS SOON AS POSSIBLE A

Answers

Answer:

When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped

Step-by-step explanation:

Express the ratio below in its simplest form.
2.5: 3.5​

Answers

Answer:

Ratio = 5:7

Step-by-step explanation:

2.5 :3.5

To simplify a ratio, we must find a common factor that easily divides them.

Both of them have a common factor of 0.5, so we divide each of them by 5

2.5/0.5 = 5

3.5/0.5 = 7

So, the final ratio we end up with is equal to 5:7.

I Hope this helps!

Solve the system of linear equations by graphing. Y=-3 and 6x +y=3

Answers

Answer is solution coordinate ( 1, -3)
Where the two lines cross

Step by step

The two equations were graphed, see attached. The point where the two lines cross is the solution, ( 1, -3)

find the distance round to the nearest tenth

Answers

Answer:

65 units

Step-by-step explanation:

Find the volume of the rectangular prism.

Answers

Answer:

67.5 cm^3

Step-by-step explanation:

To find a rectangular prism volume, you just multiply height, width, and length. So you would multiply 2.5 * 4.5* 6 = 67.5 cm^3.

The price of an item has risen to $387 today. Yesterday it was $180. Find the percentage increase

Answers

Answer:

115%

Step-by-step explanation:

Given that,

The initial price of an item = $180

The final price of an item = $387

We need to find the percentage increase. It can be calculated as follows :

[tex]\%=\dfrac{\text{Change in price}}{\text{initial price}}\times 100[/tex]

Put all the values,

[tex]\%=\dfrac{387-180}{180}\times 100\\\\=115\%[/tex]

So, the required percentage increase is 115%.

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