vector a~ is 2.54 units long and points in the positive y direction. vector b~ has a negative x component 2.32 units long, a positive y component 2.88 units long, and no ~z component. find a~ · b~ .

Answers

Answer 1

Therefore  [tex]\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

Ax=-2.54 Ay=2.32

The sum of two or more vectors is called the Resultant.

The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.

[tex]$$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$[/tex]

[tex]$\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$[/tex]

[tex]$\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

[tex]\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}[/tex]

learn more about Vector sum: brainly.com/question/10435343

#SPJ4


Related Questions

Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.

What is the amount of interest Mr. Gonzalez will earn at the end of one year?

Answers

Answer:

4326

Step-by-step explanation:

4200/100x3=126

4200 + 126=4326

Answer:

b

Step-by-step explanation:

4326

Which fraction equals the ratio of rise to run between the points (-3,-4) and (0, 0)?

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

THe answer is C

Step-by-step explanation:

Matthew is planning a graduation party at a restaurant. Restaurant A charges $250 to reserve the room and $15 per person to eat. Restaurant B charges $370 to rent the room and $13.50 for each person to eat. How many people would Matthew need to invite for the cost at either restaurant to be the same?

Fill in the blanks to create an equation to represent the situation.

___x + 250 = 13.50x + ____

Answers

Considering the definition of an equation and the way to solve it, Matthew would need to invite 80 people.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

Number of invites

Being "x" the number of invites, and knowing that:

Restaurant A charges $250 to reserve the room and $15 per person to eat. → Cost restaurant A= 250 + 15xRestaurant B charges $370 to rent the room and $13.50 for each person to eat. → Cost restaurant B= 370 + 13.50x

If cost at either restaurant is the same, the equation in this case is:

Cost restaurant A= Cost restaurant B

250 + 15x= 370 + 13.50x

Solving:

15x + 13.50x= 370 - 250

1.50x= 120

x= 120 ÷ 1.50

x=80

Finally, Matthew would need to invite 80 people.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

Segment PQ has endpoints P(-3, 4) and
Q(1, 7). Find the midpoint and length of
the segment.
-2

Answers

Mid point of the length segment PQ has endpoints P(-3, 4) and

Q(1, 7) is (1,11/2).

Mid point = {(-3+1)/2, (4+7)/2}

Mid point = (1,11/2)

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

A line is said to be a bisector when it divides another line into two identical segments. The line will be split at its midpoint by the bisector. A compass and straightedge can be used to determine the midpoint of a line segment. See creating a line segment's perpendicular bisector.

Learn more about midpoint here

https://brainly.com/question/5566419

#SPJ9

If f(x) = -x + 6, find f(-3).
Find f

Answers

The value of function f when x is (-3) is 9.

To solve the value of function for the value of x as -3, we will simply keep the value of x in the equation.

Rewriting the equation

f(x) = -x + 6

Keep the values of x in the above equation

f(x) = - (-3) + 6

Adding the two negative signs, hence, the value will be 3.

f(x) = 3 + 6

Performing addition to find the value of f(x) when value of x is (-3)

f(x) = 9

Therefore, the value of f(x) is 9.

Learn more about function -

https://brainly.com/question/25638609

#SPJ9

A coffee machine dispenses 8-ounce cups of coffee automatically. the amount of coffee may vary by 3%. what are the least and greatest number of ounces the coffee machine may dispense?

Answers

If a coffee machine dispenses 8-ounce cups of coffee automatically. and the amount of coffee may vary by 3% then the least and greatest number of ounces the coffee machine may dispense is 7.76 and 8.24 respectively.

The least and greatest number of ounces the coffee machine may dispense can be calculated by converting the percentage given.

As, 3% = 3 / 100

3% of 8 = 3 / 100 × 8 = 24 / 100 = 0.24

Now by adding and subtracting the calculated value to 8, the least and greatest number of ounces can be determined.

8 - 0.24 = 7.76

8 + 0.24 = 8.24

Hence, the least ounces the coffee machine may dispense is equal to 7.76 and the greatest number of ounces the coffee machine may dispense is calculated to be 8.24 ounces.

To learn more about percentages, click here:

https://brainly.com/question/24877689

#SPJ4

I need the answer to this ASAP!!!! 30 points!!!

Answers

Answer:

Part1: 1L 1s

5: 1 1/4s

1: 1/2

1: 3/4

2: 2

PART 2: 6 1/4

Step-by-step explanation:

For part 1 its just plotting the amount of the numbers in that table

Part 2: there are 5 1 1/4, so I can just multiply that by 5, which gives 6 1/4

pls brainliest

what is z? -0.25z = -1.25

Answers

it is (positive) five. divide -1.25 by -0.25.

Answer:

z = 5

Step-by-step explanation:

-0.25z = -1.25

-1.25 ÷ -0.25 = 5

z = 5

My pumpkin pie recipe (which is listed at the end of this post) is really good. If you want to make my pumpkin pie you will need 1 ¾ cups of pumpkin puree. How many pies would the 2,528- pound pumpkin be able to make?

Answers

Answer:

752 pies will be made form the 2,528 pound pumpkin

Step-by-step explanation:

Here, we want to know the number of pies that will be made from the given number of purée

Firstly, we need to know the number of cups in 2,528-pound pumpkin purée

Mathematically, 1 pound = 1.92 cups

So , 2528 pound will be 2,528/1.92 = 1,316.67 cups

1 3/4 cups is needed to make a pie

So the number of pies that 1,316.67 cups will

make would be;

1316.67 divided by 1 3/4

= 1316.67/1.75 = 752 approximately

Given m<1=83°, find m<2 so the <1 and <2 are supplementary:
m<2=1
(Please enter the number of degrees only with no words or symbols)

Answers

Answer:

m∠2= 97

Step-by-step explanation:

When 2 angles are supplementary, they add up to 180 degrees.

We are told that angle 1 is 83 and the angle 1 and 2 are supplementary

So, angle 1 and 2 add up to 180, let's subtract 83 from 180 to find measure of angle 2

180-83=97

hope this helps! feel free to ask any questions

A number is multiplied by 4, then 5 is added. The result is 21. Write an equation to represent this situation.

Answers

Answer:

4 x 4 + 5= 21

Step-by-step explanation:

In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Find the length of u, to the nearest 10th of an inch.

Answers

Answer:

5.7

Step-by-step explanation:

Delta math

In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Hence, the length of u is 5.54 inches.

What is a cosine law?

Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.

u² = s² + t² - 2(s)(t)·cos U

Given that the ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°.

We can find the length of u by using the Cosine rule

u² = s² + t² - 2(s)(t)·cos U

u² = 4.6² + 1.8² - 2(4.6)(1.8)·cos 118

u² = 19.78 + 3.24 - 16.56 x cos U

u² =  19.78 + 3.24 + 7.77

u² = 30.79

u = 5.54

Hence, the length of u is 5.54 inches.

Learn more about cosine law;

https://brainly.com/question/21718480

#SPJ2


Using the number line above, select the number that would be the opposite of Point T.


Answers

Answer:-9

Step-by-step explanation:

Factor the equation 2x^2+5x+3

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

Answer:

( + 1 ) ( 2 + 3)

Find the absolute value of the complex number.

-4+3i​

Answers

Answer:

5

Step-by-step explanation:

the absolute value is also the modulus to find that it means square root of x^2 + y^2

x is -4 y is 3

=5

What is the measure of _M?

Answers

Answer: I think I cn help bt nt sure

Step-by-step explanation:

X° + 52° + 78° = 180°

X° + 130° = 180°

X° + 130° - 130° = 180° - 130 °

X° = 50°

M is <50°

find the hcf and lcm of the following. (1) 189 and 84. (2) 315 and 720. (3)616 and 392. (4) 1008 and 1764. (5)560,140 and 224. (6) 378, 567 and 252. (7) 435 and 261
(8) 16, 28, 44, and 68​

Answers

Answer:

Best and Correct answer gets BRAINLIEST!!!!!

Step-by-step explanation:

a circular railroad crossing sign has a diameter of 30 inches. Which measurement is closest to the area in square inches?

Answers

Answer: it would be 12.

Step-by-step explanation:

If 16^x = 1/64 find the value of x.​

Answers

Answer:

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

Step-by-step explanation:

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , that is

[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex]

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

since bases on both sides are equal , both 4 then equate exponents

2x = - 3 ( divide both sides by 2 )

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

Find the value of the expression x2−3x+7x+4 when x = 2.

Answers

Answer:

x=1/5 or 0.2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

distribute 2 in for the x and you would get 2^2-3(2)+7(2)+4

and you would get 4-6+14+4= 16

Can someone please help me I have a few more also that I need help with.

Answers

Answer:

77

Step-by-step explanation:

Please mark as brainliest. I'm happy to help

There are 2 grams of sugar in 8 oz of a fruit drink. Which table shows this relationship. *

Answers

Answer:

c

Step-by-step explanation:

one full drink or 2 oz. is two grams so a half a drink or four oz. is 1 gram and a drink and a half or 12 oz. is 3 grams

In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.

Given that, there are 2 grams of sugar in 8 oz of a fruit drink.

What is data table?

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.

In table C we can see corresponding to 2 grams of sugar 8 oz of fruit drink.

In table C there are 2 grams of sugar in 8 oz of a fruit drink. Therefore, option C is the correct answer.

Learn more about the data table here:

https://brainly.com/question/12918406.

#SPJ2

Solve the equation for the specified variable.
S = BA-7, for B

Answers

Answer:

[tex]B= \frac{S + 7}{A}[/tex]

Step-by-step explanation:

We are given the following equation:
S = BA - 7

And we want to solve it for B.

This is a literal equation, and to solve these, we need to isolate the variable we are solving for (in this case, B) on one side.

Here's the equation again:
S = BA - 7

We can start by adding 7 to both sides (removes it from the right side).

S = BA - 7

+7        +7

________________

S + 7 = BA

Now, divide both sides by A to isolate B. Remember that we're dividing both S AND 7 by A.

(S + 7) = BA

÷A       ÷A

[tex]\frac{S+7}{A} = B[/tex]

This can be rewritten to be: [tex]B = \frac{S + 7}{A}[/tex]

You can also write it as  [tex]B = \frac{S}{A} +\frac{7}{A }[/tex] if you wish.

Helppppppppppp ppppppppp

Answers

Answer:

Undefined

Step-by-step explanation:

The line is vertical and therefore has an undefined slope.

Mark and his brother David are fighting over a toy airplane while playing their yard. Mark grabs the plane and takes off running at rate of 7.5 miles per hour. One minute after Mark starts running, David starts to chase him at rate of 9mph. How long will David to reach Mark and how far will they have run?

Answers

David will have 2.57 seconds to get to mark and it’s 50 meters

9.
Which two expressions are equivalent?

plsss i have 5 ins to get this questoion pls elp

Answers

that is the answer because the only thing that changes is the multiplication but either way it will multiply to the same answer!

45 POINTS!! Pls .. need steps too :(

Answers

Answer:

b

Step-by-step explanation:

Which is a unit rate?

1 Cookie/ 1/3 bag

1 Cookie/ 9 bags

2/3 cookies

3 cookies/bag

Answers

Answer:

3 cookies/bag

Step-by-step explanation:

First of all, let's define a unit rate. A unit rate is a ratio of the amount of one measurement to one unit of another measurement term. Unit rates can be expressed as fractions.

Now, here is something easier for you to remember: the second unit always have to be something with the quantity of 1.

In this case, "3 cookies/bag" shows how there are three cookies per, or in each bag--which means 1 bag. The second unit, which is bag, has the quantity of one.

Find the original ordered pairs.

Answers

You se I’m so dum I can’t do this good lick

a certain corner of a room is selected as the origin of a rectangular coordinate system. if a fly is crawling on an adjacent wall at a point having coordinates (1.5, 1.3), where the units are meters, what is the distance of the fly from the corner of the room?

Answers

The distance formula to get the distance of the fly from the corner of the room in meters is 1.985 meter.

Distance formula -

The distance formula is given by the equation -

[tex]d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\[/tex]

[tex]where , (x_1, x_2)[/tex] and [tex](y_1,y_2)[/tex]  are two given points.

Apply the distance formula to get the distance of the fly from the corner of the room in meters.

Now,

[tex]x_1 ,y_1[/tex] are form the origin,

Given:

[tex](x_2,y_2) =(1.5,1.3)[/tex]

By using the equation ,

[tex]d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\[/tex]

[tex]\\d = \sqrt[2]{(1.5^{2} -0^{2})+ (1.3^{2}-0^{2} ) }[/tex]

[tex]d=\sqrt{(2.25+1.69)\\\\d=\sqrt{\frac{225}{100} +\frac{169}{100} } \\d=\sqrt{\frac{394}{100} } \\d=\frac{\sqrt{394} }{10} \\\\[/tex]

Root value of 394,

[tex]\sqrt{394}[/tex] = 19.85

[tex]d= \frac{19.85}{10} \\\\d=1.985[/tex] metre.

Therefore, the distance formula to get the distance of the fly from the corner of the room in meters is 1.985

To learn more about distance formula :- brainly.com/question/8283882

#SPJ4

Other Questions
Which pair of numbers have a greatest common factor of 2?Select each correct answer.10 and 22 and 244 and 66 and 12i have c in math plz make sure it right i give brainliest Which statement best summarizes the benefits of trade along the Silk Road?The Silk Road led to an end of warfare between member nations.Diseases spread along the routes, improving the supply of medicine.The exchange of ideas and beliefs led to a single, unifying religion along the routes.The Silk Road spread economic growth and cultural awareness across many civilizations. A diagram of the carbon cycle is shown to the left.Which of the following best explains the roles plants andanimals play in recycling carbon?a.Plants and animals both take in carbon throughrespiration. They return it to the cycle throughdecomposition.b. Plants take in carbon through photosynthesis anddecomposition. Animals produce carbon through respiration.C. Animals produce carbon through exhaling. Plants take incarbon for photosynthesis.d. Plants produce carbon through photosynthesis. Animalstake in carbon for breathing. Emily is a pharmacist. She earns $45.80 per hour. If she works on a holiday, she gets paid double thehourly rate. Last week she worked for 38 hours and 8 of those hours on a holiday. Emily's salary is her onlysource of income.If her net income was $1,783.62, then how much was her payroll tax?Her payroll tax was $ ANSWER CORRECT FOR BRAINLY Match the following.1. a sticky, tar-like substance Old Kingdom 2. to preserve a body using chemicals embalm 3. symbols used to represent sounds Middle Kingdom 4. a period in ancient Egyptian history lasting from 2050 to 1800 B.C., marked by episodes of disunity and invasion bitumen 5. a period in ancient Egyptian history lasting from 1550 to 1100 B.C., marked by territorial expansion pharaoh 6. a period in ancient Egyptian history lasting from 2700 to 2200 B.C., marked by the construction of pyramids pyramid 7. an ancient Egyptian ruler hieroglyphs 8. an ancient Egyptian tomb New Kingdomanswer quick pls am i rightt?? if not plsss help A ball released from rest on an elevated ramp uniformly accelerates at a rate of 3.52 m/s2 for 23.3m. what is the final speed of the ball? welp I 43 have pointsits is all of my point, give me the best answer. THIS IS THE Q THE HOLE THING IS THE Q.( I pick the weird answer fyi)and free brainliest A. crossing overB. genetic drift C. law of dominance D. random segregationE. independent assortmentSexual reproduction promotes genetic variation. One way variation occurs is via the production of gametes during meiosis. Sexual organism are the product of sperm and egg, receiving chromosomes from both parents. But what mechanisms are at work during meiosis to promote genetic variation? Review the prompt and select all that apply (2x-3)^2 multiply it Three hundred students went on a field trip. Five buses each had the same number of students on them, and 25 students traveled by car. Which equation can be used to find the number of students on each bus?Group of answer choices25x + 5 = 3005x - 25 = 3005x + 25 =30025 - 5x = 300 Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = 9 cos x ; g(x) = cos x (3 points) Evaluating a Theme Park Universal Studios OrlandoWhat is the overall theme of Universal Studios? Universal Studios over all theme is a family atractishion built off of hundreneds of moviesWhat type of Layout does Universal Studios have? (Loop or Icon Design)There are 7 lands in Universal Studios. For each one, you will describe the theme, list the restaurants, list the rides, and list any restrictions (height/safety/etc.) for each ride.Production CentralThemeRestaurantsRides and Ride RestrictionsNew YorkThemeRestaurantsRides and Ride RestrictionsSan FranciscoThemeRestaurantsRides and Ride RestrictionsThe Wizarding World of Harry Potter Diagon AlleyThemeRestaurantsRides and Ride RestrictionsWorld ExpoThemeRestaurantsRides and Ride RestrictionsWoody Woodpeckers KidzoneThemeRestaurantsRides and Ride RestrictionsHollywoodThemeRestaurantsRides and Ride RestrictionsWhat Live Shows or Special Events happen daily at Universal Studios? use SSS, SAS, ASA, AAS or HL star if the two triangles are congruent, if they are state how you know? Which American colonys economy was based primarily on cash crop agriculture? F Pennsylvania G New York H Massachusetts J Virginia M= i + r ; solve for r Which technological improvements led to the era of European exploration?Select all correct answers.A. new printing techniques to create better mapsB. new communication devices that allowed people to talk with others across the oceanC. bigger ships that could hold cargo and sail across the oceanD. new instruments to observe the stars and navigate ships You place $4000 into an account paying 8% compounded annually. Inflation is expected to be 2.5% during each of the next three years. What is the account's value at the end of the 3 years in Year-O (constant) dollars? a. $2029 b. $5040 c. $5428 d. $4680 Does anyone know how to solve this? You can tell if an unknown substance is an base because: