Suppose that u⃗ =⟨8,−2⟩ and v⃗ =⟨5,−5⟩. What is the angle between u⃗ and v⃗ , rounded to the nearest degree?

Answers

Answer 1

9514 1404 393

Answer:

  31°

Step-by-step explanation:

One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.

  (8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )

The numerator is 50 +30i, which has an angle of ...

  arctan(30/50) ≈ 30.96° ≈ 31°

_____

Additional comment

Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.

  u·v = |u|×|v|×cos(θ)

  θ = arccos(u·v/(|u|×|v|))

  θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)

Suppose That U =8,2 And V =5,5. What Is The Angle Between U And V , Rounded To The Nearest Degree?

Related Questions

According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.

Required:
What is an appropriate formal hypothesis statement for Bryanna's study?

Answers

According to her study, we have that:

The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]

At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:

[tex]H_0: p = 0.32[/tex]

At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:

[tex]H_1: p > 0.32[/tex]

A similar problem is given at https://brainly.com/question/25679468

What is the product of -13/8 and 24/5

Answers

Answer:

-7 4/5 or -7.8

Step-by-step explanation:

Product means multiplication

( - 13/8 )( 24/5)

= (-13 · 24)/(8 · 5)    negative · positive = negative

= - 312/40

=  -7  32/ 40 = -7 4/5 or 7.8

11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Answer:

x=4

Step-by-step explanation:

11x - 2(x + 3) = 30

distribute: 11x-2x-6=30

add like terms: 9x-6=30

add 6: 9x=36

divide by 9: x=4

Answer:

x = 4

Step-by-step explanation:

11x - 2(x +3) = 30

11x -2x - 6 = 30

11x - 2x = 30 + 6

9x = 36

9x/9 = 36/9

x = 4

The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)

Answers

Answer:

Swap 10 from box A and 15 from box B

Step-by-step explanation:

For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.

For find the mean of a set you use the next formula  [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]

[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]

Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]

Know the ask us for a ratio of 9:11 then we know two things about the boxes.

If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:

The new mean of [tex]\bar{A}[/tex] is 9 then:

[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]

[tex]\text{sum of elements in box A} = 45[/tex]

The new mean of [tex]\bar{B}[/tex] is 11 then:

[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]

[tex]\text{sum of elements in box B} = 55[/tex]

Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.

When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):

[tex]40 - a = c[/tex]

And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):

[tex]b + c = 45[/tex]

So replace [tex]c[/tex] for the first relation and get:

[tex]b + 40 - a = 45\\b - a = 5[/tex]

From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.

(E) 140°
2. If ZX and Zy are complementary, and ZX
and ZZ are supplementary, which of the
following is true?
(A) MZY + mZZ = 270
(B) 2(mZY)= m_Y + m2Z
(C) mZZ mZX = 90
(D) mZZ m_Y = 90
(E) mZX + mZZ = 180

Answers

Answer:

a

Step-by-step explanation:

just took the test

(E) 140°

2. If ZX and Zy are complementary, and ZX

and ZZ are supplementary, which of the

following is true?

(A) MZY + mZZ = 270

(B) 2(mZY)= m_Y + m2Z

(C) mZZ mZX = 90

(D) mZZ m_Y = 90

(E) mZX + mZZ = 180


Answer: mzy+mzz=120 is the answer

Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x​

Answers

Answer:

15, 4, 11, 4

Step-by-step explanation:

x=8

so 7+x, 7+8= 15

12-8 = 4

x+3 , 8+3=11

32/8 = 4

b. Symbols Write an expression for the number of feet in x inches.
Help!!

Answers

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely

Answers

Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.

For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].

The probability of one of each is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]

0.5 = 50% probability of selecting a two-child family with one boy and one girl.

A similar problem is given at https://brainly.com/question/24863377

i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!

Answers

Answer:

480 miles

Step-by-step explanation:

Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.

There is no way to solve this otherwise though, so we'll assume the car's speed is constant.

280mi / 7h = 40mph

40mph * 12h = 480mi

what is the value of 69 - -26

Answers

Answer:

98

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95

Please help!! I don't have a whole lot of time!!​

Answers

The midpoint of the line segment is the average of the respective coordinates.

So the x-value of the midpoint if the average of the two individual x-coordinates.

    (-3.5 + 4)/2 = 0.5/2 = 0.25

And the y-value of the midpoint if the average of the two individual y-coordinates.

    (2 + (-2.5))/2 = -0.5/2 = -0.25

So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".

A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?


Answers

Answer: so either .64 or , .66,

Step-by-step explanation:

divide 3.86 by 6

Help help hekpngelpnheopbh kobgelp

Answers

Answer:

5

Step-by-step explanation:

3+2=5

x=3

Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?​

Answers

Answer:

Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...

Why do you have a premium? That's :(

Answers

Answer:

i dont have a premium

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write the equation of the line in Point-Slope Form given the information below.

Slope=7

Point=(1,4)

Answers

Answer:

Step-by-step explanation:

y - 4 = 7(x - 1)

y - 4 = 7x - 7

y = 7x - 3

Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!

Answers

Answer:

C. Transitive property of ≅

Step-by-step explanation:

The statement #5 and #7 give an outcome of the statement #8:

ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCB

This is called transitive property of congruence:

If one triangle is similar with another two, then the the other two triangles are similar to each other

Correct choice is C

Answer:

C. Transitive property of congruence

Step-by-step explanation:

Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.

Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.

give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours

my graph is the y axis is 1000 and the x axis is 20

Answers

Answer:

I don't know ✌️. ..............

A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.

Answers

Answer:

Fertilizer A = 20, Fertilizer B = 56

Step-by-step explanation:

Step 1: Set up the equations

Nitrogen: 8x + 5y ≥ 440

Phosphorous: 2x + 5y ≥ 260

Potassium: 4x + 5y ≥ 360

Step 2: Find the vertices

It is easiest to graph the equations to find the vertices. (see attachment).  You can also solve each system of equations to find the intersected points.

The following satisfy the "greater than or equal to" requirement:

(0, 88) → y-intercept of Nitrogen equation

(20, 56) → intersection of Nitrogen and Potassium equations

(50, 32) → intersection of Phosphorous and Potassium

(130, 0) → x-intercept of Potassium

Step 3: Use vertices in cost function C(x) to find the minimum

C(x) = $30x + $20y

(0, 88): $30(0) + $20(88) = $1760

(20, 56): $30(20) + $20(56) = $1720    ← This is the minimum!

(50, 32): $30(50) + $20(32) = $2140

(130, 0): $30(130) + $20(0) = $3900

The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.  

)) Type the missing numbers in this sequence: -3, -8, -13, -18, ​

Answers

Answer:

23

Step-by-step explanation:

first off if your to take away 3 from 8 you'd get five and the same goes for the rest

I.e

8-3=5

13-8=5

18+5=23

as 23 -18 would give you you 5

dont sound so smart doing it she will know ​

Answers

Jeremy is incorrect because a negative plus a negative will always be a negative.

What is the next number in the pattern 2 5 11 23

Answers

Answer:

47

Step-by-step explanation:

If cos θ = sin 2 θ, then the value of θ is = ___?​

Answers

Given that:

Cos θ = Sin 2θ

⇛ Cos θ = 2 Sin θ Cos θ

⇛ Cos θ / Cos θ = 2 Sin θ

⇛ 1 = 2 Sin θ

⇛ 1/2 = Sin θ

⇛ Sin θ = 1/2

⇛ Sin θ = Sin 30°

⇛ θ = 30°

Therefore, θ = 30°

Answer :-The value of θ for the given problem is 30°

Check:-

LHS = Cos θ

⇛ Cos 30°

⇛ √3/2

RHS = Sin 2θ

⇛ Sin (2×30°)

⇛ Sin 60°

⇛ √3/2

LHS = RHS is true for θ = 30°

»If you have any doubt, then you can ask me in the comments.

there are 20 coins.there are only twenty cent and fifty cent coins in it. the total amount in it is $7.60 .How many fifty cents coin are there

Answers

Answer:

10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.

Step-by-step explanation:

Help help help help help help

Answers

You need to take each point and multiply the numbers by 5.

so the first one would be (-3,-1) multiplied by 5.

-3 * 5 = -15

-1 * 5 = -5

so your new point is (-15,-5)

hope this helped!

The answer is 15, 5 yup that will be that answer

write the algebraic expression for 3 less than the product of Y and 2​

Answers

Answer:

2y-3

Step-by-step explanation:

the product of y and 2 is just multiplying

then 3 less means subt. 3

HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3

Answers

Step-by-step explanation:

D is the right answer.

remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.

the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.

these 2 facts make D the right answer.

what is 7:30 + 46 minutes

Answers

The answer would be 8:16

Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).

Answer:


a) 16
b) 8
c) 4
d) 2

Answers

Answer:

The answer to this is c) 4.

Can some help me please I did one but I am not sure if it is correct.
thank you

Answers

Answer:

yes its correct

Step-by-step explanation:

but for the check where did you get the 12? you might want to redo that part but otherwise its right

Other Questions
In two or more complete sentences, explain how to use ordered pairs of points in S (x) and g(z) to determine if (2)and g(x) are inverses of each other 2. Which of the following contributions did Louie De Broglie do for electronic structure of matter? A. determined the speed of electron of hydrogen atom B. proposed a theory that electrons showed characteristics similar to light C. provided mathematical operation for the characteristics of light D. recorded the movement of proton in the nucleus of an atom standard precautions means treating all blood, body fluids, non-intact skin, and mucous membranes as if they could carry bloodborne pathogens and infectious disease. How are the geologic time scale divisions made? a triage team is assessing a client to determine if reported chest pain is a manifestation of angina pectoris or an mi. the nurse knows that a primary distinction of angina pain is? Raising the retirement age to 70 would keep experienced Americans intheir jobs longerit would take jobs away from youngerAmericans.A. Indeed,B. However,C. For instance,D. Finally, What is the rectangular form of theta = 3pi/4?Please answer this question if you 100% know this answer.a. x - y = 0b. x - y = 1c. x + y = 0d. x + y = 1The answer was not a. Why did the Wanpanoag welcome the pilgrims when they first came to America what are the only elements that exist in nature as uncombined The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count. 1/6 to the power of 3 9. What were the results of Romes expansion after the Punic Wars? Both questions 7 and 8 last one im almost done. AssignmentsIn a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1through 41). What is the probability of winning the minimum award?Study PlanGradebookThe probability of winning the minimum award is(Type an integer or a simplified fraction Someone plz help me :( What is the term for a section of a DNA molecule that codes for proteins? What is electromagnetic force and how does it work and what it does?? Choose the missing step in the given solution to theinequality -X - 10 > 14 + 2x._X- 10 > 14 + 2x-3X - 10 > 14x 240 -3x > 40-3x>.- 40 -3x < 24 who has a German shepherd? I want a dog and need some information form a dog owner.Plz help