What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east

Answers

Answer 1

Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:

9.2 units, 49.4° north of west

How do we find the vector, and what is it's magnitude?

To find them, we subtract the end coordinate by the start coordinate, hence:

RS = S - R = (-2, 1) - (4,-6) = (-6,7).

The magnitude is given by the square root of the sum of the squares of each coordinate, hence:

[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]

Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:

9.2 units, 49.4° north of west

More can be learned about vectors at brainly.com/question/24606590


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7?

Answers

Step-by-step explanation:

You can only get 5 numbers which are : 1, 3, 5, 7, 9.

There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.

Answer:

1/5(1 over 5)

Step-by-step explanation:

out of the 5 numbers

u can land on 7 one time

Does sin, cos, tan work for all triangles?

Answers

Answer:

No

Step-by-step explanation:

SOH CAH TOA, or sin cos tan, only works on right triangles.

Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters

Answers

Step-by-step explanation:

height (h) = 8cm

radius (r) = 5cm

volume of cylinder (v) = [tex]\pi[/tex]r^2h

                                     = 22/7 * (5)^2 * 8

                                     = 628.571cm^3

Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..

Answers

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

find 60% of 40 gallons.

Answers

Hey there!


60% of 40

= 60% * 40

= 60/100 * 40

= 60 ÷ 20 / 100 ÷ 20 * 40

= 3/5 * 40

= 3/5 * 40/1

= 3(40) / 5(1)

= 120 / 5

= 120 ÷ 5 / 5 ÷ 5

= 24/1

= 24 ÷ 1

= 24


Therefore, your answer is: 24


Good luck on assignment & your day day!


~Amphitrite1040:)


Pls help I don’t know

Answers

Answer:

20 units

Step-by-step explanation:

Count the squares

Answer:

20 units

Step-by-step explanation:

Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.

1.) An eagle circled 48 meters above a mouse that scurried in a valley.
The valley's elevation was 16 meters below sea level. At that same moment, a
hot air balloon floated 66 meters above the eagle.
What was the hot air balloon's elevation, relative to sea level?
A. -2 meters
B. 34 meters
C. 98 meters
D. 130 meters

Answers

The hot air balloon's(above the eagle) elevation, relative to sea level is 98 meters

What is elevation?

Elevation is the height to which something is elevated or to which it rises.

Therefore,

The eagle circle 48 meters above the mouse that scurried in the valley. The valley is 16 meters below sea level.

At the same time a hot ballon floated 66 meters above the eagle.

Therefore, the hot air balloon's elevation, relative to sea level is as follows;

elevation = 66 + 48 - 16 = 98 meters

learn more on elevation here:https://brainly.com/question/11987342

Drag the tiles to the correct boxes to complete the pairs. Match the pairs of coordinates with the distances between them.​

Answers

Answer:

See below

Step-by-step explanation:

Use distance formula and find the result for each pair of points.

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

1)

[tex]d=\sqrt{(1-4)^2+(-2-2)^2} =\sqrt{9+16} =\sqrt{25} =5[/tex]

2)

[tex]d=\sqrt{(2-(-8))^2+(-3-7)^2} =\sqrt{100+100} =\sqrt{200}[/tex]

3)

[tex]d=\sqrt{(1-9)^2+(9-1)^2} =\sqrt{64+64} =\sqrt{128}[/tex]

4)

[tex]d=\sqrt{(-8-(-2))^2+(2-(-6))^2} =\sqrt{36+64} =\sqrt{100} =10[/tex]

#1

√(4-1)²+(2+2)²√3²+4²√5²5units

#2

√(-8-2)²+(7+3)²√10²+10²√200units

#3

√(9-1)²+(1-9)²√8²+8²√128units

#4

√(-2+8)²+(-6-2)²√6²+8²√10²10units

Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Please answer the question

Answers

Answer:

a = 104

Step-by-step explanation:

126 + 26 = 152

360 - 152 = 208

208 / 2 = 104

104 = a

Hope this helps :)

(If you need the explanation in words just let me know)

Step-by-step explanation:

Let's find

add up

a+a+26+126=3602a+152=3602a=360-1522a=208a=104

. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.

Answers

3 7/8 because looking at the ruler, the line is 7 of the 8. hope that’s helps!

Find the solutions to x2 = 12.

The answer is B~ c=+2{3}

Answers

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

Solve for x as well as rounding to nearest tenth please<3

Answers

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already :D

Answers

Here is how it is graphed:

what is an easy way to memorize like terms ex: 3 +x squared +x -5 +x squared

Answers

Answer:

You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.

(a+b)^2 = a^2+2ab+b^2

(a-b)^2 = a^2-2ab+b^2

(a-b)(a+b) = a^2+b^2

calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a

Please help!! Katherine O'Donnell obtained a personal loan of $1,800 at 10% for 12 months. The monthly payment is $165.00.
What is the new principal after the first payment?

Answers

Answer:

  $1650

Step-by-step explanation:

Each payment is applied first to the amount of interest that is due, then to the remaining principal.

__

For the first monthly payment, the interest due is ...

  I = Prt = $1800(0.10)(1/12) = $15.00

So, the amount of the payment that gets applied to the principal is ...

  payment - interest = $165 -15 = $150

The new balance is ...

  $1800 -150 = $1650.00 . . . . new principal after the first payment

__

The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.

what is john locke's ideas that affected government?

Answers

John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.

Who was John Locke?

John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.

What were his outstanding ideas?

Some of the most popular and important postulates of John Locke were:

The State's main mission is to protect the three natural rights: life, liberty and private property.Individuals have a fourth right, the right to defend these rights, as well as any other individual freedom of citizens.The citizen cedes some rights to the State through a written consensus or constitution.The government must be made up of a king and a parliament. Parliament is where popular sovereignty is expressed and where laws are made that must be followed by both the king and the people.He described the separation of legislative and executive power.The authority of the State is sustained by the principles of popular sovereignty and legality.Power is not absolute but must respect human rights.

Learn more about John Locke in: https://brainly.com/question/13346823

The measures of the bases of a trapezoid are 14 and 20. What is the measure of the median of the trapezoid?

Answers

The median of the trapezoid is = 17

calculation of the median of a trapezoid

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.

The base of the trapezoid(B1) =14

The base of the trapezoid (B2) = 20

To calculate the median = half the sum of the base of the trapezoid given.

Therefore,

14+20/2

34/2= 17

Therefore, the median of the trapezoid is = 17

Learn more about the trapezoid here:

https://brainly.com/question/1410008

yah..... help please bro

Answers

Answer:

I think D but I'm not too sure.

Change them all into decimals:

The square root of 2 = 1.41421356

3/2 = 1.5

15% = 0.15

Arrange them:

3/2, square root of 2, 1.3333..., 1.3, 15%

So, B is the correct answer.

F(x)=3x^4-2x^3-12x^2-x; k=4

Answers

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

Find the slope and y intercept

Answers

Answer:

find the angle of the 90 and divide by 5

Step-by-step explanation:

I need help on this here is the question
Question: If sally has ? cake's and Give away 15 and has 9 left how much did she have before she gived away?
I have 5 days until I have hand it in to My teacher

Answers

Answer:

Step-by-step explanation:

24

The trial balance of pacilio security services, incorporated as of january 1, year 7

Answers

A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.

What is a trial balance?

It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.

The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.

Learn more about trial balance on:

https://brainly.com/question/24696035

С
2 ft.
4 ft.
What is the perimeter? If necessary, round to the nearest tenth.

Answers

Answer:

10.47 to the nearest hundredth

Step-by-step explanation:

By Pythagoras

c^2 = 2^2 + 4^2 = 20

c = √20

c = 4.47

Perimeter = 2 + 4 + 4.472

The perimeter of the right-angled triangle is 6 + 2√(5) feet.

What is Pythagoras' theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

Given that a right-angled triangle.

The perpendicular length is 2 feet, the base length is 4 feet.

We need to use the Pythagorean theorem to find the length of the hypotenuse, and then add up the lengths of all three sides to get the perimeter.

In this case, we can use it to find the length of the hypotenuse c:

2² + 4² = c²

4 + 16 = c²

20 = c²

c = √(20) = 2√(5)

Now we can add up the lengths of all three sides to get the perimeter:

Perimeter = a + b + c

Perimeter = 2 + 4 + 2√(5)

Perimeter = 6 + 2√(5) feet

Therefore, the perimeter = 6 + 2√(5) feet

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ7

brainliest and 50 points
find the area of the polygon

A) 76.16m
B) 37.08m
C) 30.58
D) 19m

Answers

Answer:

38.08 m²

Step-by-step explanation:

Given:

Height = 5.6 mParallel side (1): 10.8 metersParallel side (2): 2.8 meters

Formula:

[tex]\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}[/tex]

Substitute the measures in the formula:

[tex]\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6[/tex]

Simplify the equation as needed:

[tex]\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}[/tex]

Erika ran 2 miles in 18 minutes and 3 miles in 27 minutes​

Answers

I'd love to help you but I don't understand

Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)

Answers

Se

please elaborate 9638x
3x + 26x + 1 + -3x - -16x + -3x + 1 + 1

I NEED THIS RIGHT NOW

Answers

Answer:

E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the reason is, for a direct relation between x and z we have too little information.

z could be huge, much, much bigger than y and x, or just bigger by 1 than y.

so, assume e.g. the following 2 scenarios

z = 6

y = 5

x = 4

and

z = 600

y = 26

x = 3

A

x + y > z

is true for the first scenario, but not for the second. so, it is not always true.

B

z - x < z - y

no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.

C

xz > yz

no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.

D

z/x < z/y

no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.

E

yz > xy

in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.

How do I find a missing length of a triangle?

Answers

Use pythagorean theorem
a^2+b^2 = c^2

Where a and b are the sides of the triangle and c is the hypothenuse side (the side in front of the 90 degree angle)
You just plug in the ones you know and find the missing side.
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