Two vectors and are given by and . If these two vectors are drawn starting at the same point, what is the angle between them

Answers

Answer 1

Answer: hello your question is incomplete below is the complete question

The Two vectors;  A = 5i + 6j +7k and B = 3i -8j +2k.

answer;

angle = 102°

Step-by-step explanation:

multiplying the vectors

A.B = |A| * |B|* cosθ

hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )

                       = 15 - 48 + 14 /(√25+26+29) * (√9+64+4)

                      = -0.206448454

θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°


Related Questions

For the expression x-5, what would the value be if x=18?

Answers

Answer:

13

Step-by-step explanation:

Answer:

if x is 18 replace 18 where x is in the question so, it will be 18-5 = 13

find the slope and y-intercept of line 3x +y -9=0

Answers

Answer:

x-intercept(s):(3,0)

y-intercept(s):(0,9)

Step-by-step explanation:

If a line is equation 5 x + 6 Y is equal to 2 k together with the coronavirus access from a triangle of area 135 square unit.find the value of k.

Answers

Answer:

hdhdkdbddkdgsjshzcssjsn

Can you help please fellow people

Answers

Answer:

using 2 below points to draw:

(0, 7)

(3.5, 6)

Step-by-step explanation:

using

determine the general solution of cos2X -7cosX -3=0​

Answers

Answer:

x=2pi/3 +2pi n, 4pi/3 +2pi n for all integar of n.

Step-by-step explanation:

In golf, scores are often written in relationship to par, the average score for a round at a certain course. Write an integer to represent a score that is 7 under par. ​

Answers

Answer:

-7

Step-by-step explanation:

If it is 7 below (a key word, which you can connect to 'negative'), then you just write it as -7.

Determine if each proportion on the left is true or false

Answers

9514 1404 393

Answer:

FalseTrueTrueTrue

Step-by-step explanation:

An easy way to tell if the equation is true is to multiply it by the product of the denominators (cross multiply).

  7×7 ≠ 12×4 . . . . proportion is False

  9×8 = 36×2 . . . . proportion is True

  8×9 = 24×3 . . . . proportion is True

  5×104 = 8×65 . . . . proportion is True

In the figure, ∆ABD ≅ ∆CBD by Angle-Side-Angle (ASA). Which segments are congruent by CPCTC?

Answers

Answer:

[tex]\angle ADB \cong \angle CDB[/tex]

[tex]\angle DBA \cong \angle DBC[/tex]

[tex]BD = BD[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABD \cong \triangle CBD[/tex]

Required

The congruent segments by CPCTC

From the question, we have:

[tex]\angle ADB \cong \angle CDB[/tex] --- given

[tex]\angle DBA \cong \angle DBC[/tex] --- given

Both triangles share a common side (length BD);

So, we have:

[tex]BD = BD[/tex]

Hence, the congruent segments are:

[tex]\angle ADB \cong \angle CDB[/tex]

[tex]\angle DBA \cong \angle DBC[/tex]

[tex]BD = BD[/tex]

solve the following by factolisation formula
1. x(2x+1)=0
2.4xsquere-11-3x=0​

Answers

1.

X = 0

2x + 1 = 0

X = 0

X = - ½ (Because we brought the numbers from one side to the other)

2.

Not sure for number 2.

1. x(2x+1)=0
It means x=0 or 2x+1=0. So
x=0

2x+1=0
2x=-1
x=-1/2


2.

➡️. 4x^2-3x-11=0
(It must take the form of ax^2+bx+c=0)

4x^2-3x=11
➡️ 4x^2-3x+9/4=11+9/4 ( you take the half of the number of 3 from 3x and square it. The half of 3 is 3/2 and when you square it becomes 9/4.)

➡️ 4x^2-3x+9/4=31/4

➡️. [4x^2-3/2]=31/4
( You put 9/4 in square root first. That means 3/2. since 3x is negative you also take negative for 3/2.)

➡️ 4x^2-3/2= positive or negative 31/4.

➡️. 4x^2=31/4+3/2

➡️. 4x^2= 37/4

➡️. x^2= 37/8

➡️. x= the square root of 37/8



A rectangular field 50 meters in width and 120 meters in length is divided into two fields by a diagonal line. What is the length of fence (in meters) required to enclosed one of these fields?
A-130
B-170
C-180
D-200
E-300

Answers

Answer:

E. 300

Step-by-step explanation:

A rectangle split in half diagonally yields 2 right triangles.

((For this problem, you are probably supposed to use the pythagorean theorem to find the diagonal length, and then calculate perimeter (length of fence around triangular field). In other words:

(sqrt( (50m)^2 + (120m)^2 )) + 50m + 120m)

))

By definition, the hypotenuse (diagonal) is the longest side.

This means that it must be longer than 120m.

If you add the 2 sides (50m + 120m), you get 170m.

Since the third side has to be longer than 120m, the answer _must_ be over 290m (170m + 120m).

300m is the only answer that fits.

E just trust me it’s just e

An assignment is worth 300 points for each day the assignment is late the professor deduct 10 points from the assignment and grade

Answers

Answer:

Eh whats the question? it takes 30 days for the assignemnt to be zero if that is the question.

Step-by-step explanation:

Answer:

points = 300 - 10 L

x = 300 - 10Y

x = points, Y = days late

Step-by-step explanation:

verify that whether -2 and 3 are zeroes of the polynomial x^2-x=6
PLEASE HELP​

Answers

Answer:

Both give remainder 0 for the polynomial

Step-by-step explanation:

p(-2) = (-2)² - (-2) - 6

= 6 - 6 = 0

p(3) = (3)² - 3 - 6

= 9 - 9 = 0

a mean equal to 5 cm. A simple random sample of wrist breadths of 40 women has a mean of 5.07
cm. The population standard deviation is 0.33 cm. Find the value of the test statistic?

Answers

Answer:

The value of the test statistic is [tex]z = 1.34[/tex]

Step-by-step explanation:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the mean is equal to 5:

This means that the null hypothesis is [tex]\mu = 5[/tex]

A simple random sample of wrist breadths of 40 women has a mean of 5.07 cm. The population standard deviation is 0.33 cm.

This means that [tex]n = 40, X = 5.07, \sigma = 0.33[/tex]

Find the value of the test statistic?

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5.07 - 5}{\frac{0.33}{\sqrt{40}}}[/tex]

[tex]z = 1.34[/tex]

The value of the test statistic is [tex]z = 1.34[/tex]

Which of the following best describes the data distribution of the histogram below?
A. Symmetric
B. Uniform
C. Bimodal
D. Unimodal​

Answers

Answer:

D. Unimodal

Step-by-step explanation:

We can immediately tell the data is not symmetrical. That leaves B, C, D. The data of this histogram is also not uniform because the numbers vary- eliminating answer choice B. There are three modes of data distribution; unimodal, multimodal, and bimodal. The one demonstrated here is unimodal because there is one "hump" in the data distribution of the histogram and one mode.

The three modes of data distribution for visual context:

to
W
3 62 Average Speed During the first part of a 6-hour
trip, you travel 240 miles at an average speed of r
miles per hour. For the next 72 miles of the trip, you
?
increase your speed by 10 miles per hour. What were
your two average speeds?
nd
69
How to solve

Answers

Answer:

40 and 10.33

Step-by-step explanation:

240÷6=40.. 72-10=62 62÷6=10.33

A rectangle's length is three times as long as it is wide. Which expression represents the change in area if the width of the rectangle is increased by 1?
1. 3x^2
2. 3x
3. 3x^2+3x
4. the area increases by 3

Answers

Step-by-step explanation:

Let's say the rectangle's width is equal to y. We know that the length is three times the width, so the length = 3 * y. We also know that the area for a rectangle is equal to length * width, so the area, z, is equal to

(3*y) * y = z

3 * y² = z

Now, let's increase the width of the rectangle by 1. We can replace y with y+1 (as y+1 is 1 greater than y), and 3 * y with 3 * (y+1) to get

3*(y+1) * (y+1) = new area

(3y+3)*(y+1) = new area

3y²+3y +3 y + 3 = new area

3y² + 6y + 3 = new area

The difference in area is equal to the new area subtracted by the old area, or

3y²+6y+3 - 3y² = 6y +3. The variable for x is not given, so if x = (2y+1), the answer would be the second choice. However, solely using the information given, it is impossible to determine a solution outside of saying that it is not option 4, as 6y + 3 ≠ 3

She uses a scale of 1 centimeter to 6 inches
the scale drawing of the front face is

Answers

Answer:

change inches into centimeter and then divide it

hope this help

In ABC, if CB AC≅ , m∠A = 3x + 18, m∠B = 7x – 58, and m∠C = 2x – 8, find x and the measure of each angle.

Answers

9514 1404 393

Answer:

  x = 19

  A = 30°

  B = C = 75°

Step-by-step explanation:

In an isosceles triangle, the angles opposite the congruent sides have the same measures.

  A = B

  3x +18 = 7x -58

  76 = 4x . . . . . . . . add 58-4x

  19 = x . . . . . . . . . divide by 4

Then the equal angles measure ...

  A = B = 3(19) +18 = 75

  C = 2(19) -8 = 30

Angles A, B, C measure 75°, 75°, 30°, respectively.

_____

Alternate solution

The sum of angles in a triangle is 180°, so you could write ...

  (3x +18) +(7x -58) +(2x -8) = 180

  12x = 228 . . . . . add 48

  x = 19 . . . . . divide by 12


An airplane can travel 350 mph in still air. If it travels 1995 miles with the wind
in the same length of time it travels 1505 miles against the wind, what is the speed of the wind?

Answers

Answer:

49 mph

Step-by-step explanation:

RT=D

T = D/R

[tex]\frac{1995}{(350 + x) } =\frac{1505}{350-x}[/tex]

1995(350-x) = 1505(350+x)

x=49

At a store sales tax is charged at a rate of 2% on the cost price of an item . the sales tax on a dress which cost $180 is

Answers

Answer:

$3.60

Step-by-step explanation:

100% = 180

1% = 180/100 = $1.80

2% = 1%×2 = 1.8×2 = $3.60

Use the theoretical method to determine the probability of the outcome or event given below.

The next president of the United States was born on Monday

Answers

Answer:

[tex]\frac{1}{7}[/tex] probability that the next president of the United States was born on Monday

Step-by-step explanation:

A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.

The next president of the United States was born on Monday

Any person, including the next president of the United States, can be born on 7 possible days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday, one of which is Monday.

So

[tex]\frac{1}{7}[/tex] probability that the next president of the United States was born on Monday

1) Prepare a post merger financial position for METRO using the pooling of interest method.

Answers

Answer:

Metro and Medec

METRO

Post-merger Financial Position, using the pooling of interest method:

Pre-merger Financial Positions:

                           Metro (RM ‘000)

Assets  

Current assets                          120

Fixed assets                             830

Total assets                             950

Liabilities and Equities  

Current liabilities                      40

Long term debt                      200

Common stock (RM1 par)      480

Capital surplus                       120

Retained earnings                  110

Total liabilities and equity    950

Earnings available to

common stockholders            230

Common Dividends                  150

Addition to Retained Earnings  80

Step-by-step explanation:

Pre-merger Financial Positions:

                           Metro (RM ‘000)    Medec(RM ‘000)

Assets  

Current assets                          50                     70

Fixed assets                           650                    180

Total assets                            700                   250

Liabilities and Equities  

Current liabilities                      30                     10

Long term debt                       140                    60

Common stock (RM1 par)      400                    80

Capital surplus                         50                    70

Retained earnings                   80                    30

Total liabilities and equity     700                 250

Earnings available to

common stockholders            100                  130

Common Dividends                  50                  100

Addition to Retained Earnings 50                   30

Exchange ratio = 1:2

Lorena and Julio purchased a home for $205,950. Their loan amount was $164,760, and the assessed value is now $200,500. Their tax rate is 1.5%. How much will their monthly taxes be?

Answers

Answer:

Monthly taxes = $250.63 (Approx.)

Step-by-step explanation:

Given:

Amount of purchase = $205,950

Loan amount = $164,760

Assessed value = $200,500

Tax rate is 1.5%

Find:

Monthly taxes

Computation:

Tax always calculated on Assessed value

Annual tax amount = 200,500 x 1.5%

Annual tax amount = 3,007.5

Monthly taxes = Annual tax amount / 12

Monthly taxes = 3,007.5 / 12

Monthly taxes = 250.625

Monthly taxes = $250.63 (Approx.)

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals
make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

Answers

Answer:

p=c(1+r)^t so the population will be 4679.43424 or rounded to 4679

Step-by-step explanation:

p=c(1+r)^t

p=4,000(1+.04)^t

p=4,000(1.04)^t

p=4,000(1.04)^4

p=4679.43424

p= the population you are solving for

c= the initial amount of the population

(1+r)= the rate of change

t= the period of time

The exponential equation that represents the population of the town in terms of the number of years : [tex]p=4000 (1+0.4)^{t}[/tex]

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

It is similar to the amount received after investing a certain amount compounded annually.

Given,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

The exponential equation will be: [tex]p=4000 (1+0.4)^{t}[/tex]

(The population of the town has grown exponentially. This means that:

Initial population = 4000

Population in year I = 4000 + 4% of 4000 = 4000(1 + 0.4)

Population in year II = 4000 + 4% of 4000(1 + 0.4) = 4000(1 + 0.4)(1+0.4)

and this goes on.)

Learn more about exponential equation here

https://brainly.com/question/23729449

#SPJ2

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

78.93 yan ats yung sagot hula ko

Answer:

it is 78.93 yun

hope this will help you

In how many ways can a sample of 6 keyboards be selected so that exactly two have an electrical defect

Answers

Answer:

15ways

Step-by-step explanation:

This is a combination question since combination has to do with selection. Hence the number of ways sample of 6 keyboards can be selected so that exactly two have an electrical defect is expressed as;

6C2 = 6!/(6-2)!2!

6C2 = 6!/4!2!

6C2 = 6×5×4!/4!×2

6C2 = 6×5/2

6C2 = 30/2

6C2 = 15

Hence this can be done in 15ways

Help me with moth of these questions please

Answers

Answer:

10. CD + DE = CE

11. BC + CE = BE

Step-by-step explanation:

10. CD and DE lie on a straight line, therefore, CD + DE = CE based on the segment addition postulate.

11. BC and CE lie on a straight line, therefore, BC + CE = BE based on the segment addition postulate.

A computer disk that once sold for $2.25 now sells for 25% less. How much does the computer.

Answers

Answer:

$ 1.6875 or $1.69 or $1.70

Can someone please help?
Find the value of x for the right triangle.

Answers

Answer:

5

Step-by-step explanation:

cos60° = x / 10

10cos60° = x

10cos60° = 5

the sum of the square of the number and a second number is 42

Answers

Step-by-step explanation:

x+x squared =42. The square of the number is the number square. By my incredibly accurate guess and check strategy (works most of the time )6*6 = 36+6=42

Other Questions
The sum of twice a number and 13 is 47. Find the number. write the formulae of magnesium chloride and sodium sulfate define cell and atom How would I simplify the expressions on the picture? why is men education more important than female education 8. Acetylene is the common name for (a) ethene (b) ethyne (c) propene (d) propyne Grace earned 32,000 last year. She worked for 35 hours a week for 50 weeks. Calculate her pay per hour. Give your answer to 2 decimal places. You purchased two WXO 30 call option contracts at a quoted price of $.35. What is your net gain or loss on this investment if the price of WXO is $33.70 on the option expiration date Find f(2) if f(x) = (x + 1)^2.965 Which diagram correctly depicts the trend in electronegativity?a.b.c.d. How many moles of hydrogen are in the sample?Round your answer to 4 significant digits. Choose the statement that best describes Galarzas figurative language in this passage. Example 2 is a garbled sentence, confusingly written. Which two revisions below would clarify its meaning? (Remember to choose two.)A) I tried to stop before the red light, but drove when it did.B) I tried to drive before the red light, but drove when it did.C) I tried to brake before the red light, but stopped when it did.D) I tried to drive before the light turned red, but stopped when it did.E) I tried to drive when the light was still yellow, but stopped when it turned red. A study finds that the metabolic rate of mammals is proportional to m^3/4 , where m is the total body mass. By what factor does the metabolic rate of a 70.0-kg human exceed that of a 4.91-kg cat? Mr. Clinton went to the lumber company. He bought 6 boards at a cost of $4.12 per board and 5 pounds of nails at $0.78 per pound. What was the total cost for these items (not including tax)? A mutation is identified in a tumor sequencing study. Which of the following pieces of evidence would most strongly suggest that the mutation is a passenger mutation?a. The same gene is mutated in many other individuals with the same kind of cancer.b. The mutation impacts the function of a known tumor suppressor gene.c. The mutation is a silent point mutation in a protein-coding sequence.d. The gene carrying the mutation is known to participate in the cell cycle. what is acceleration The automatic control systems that control our temperature, pH, ions, and blood sugar is called:A. Immune systemB. HomeostasisC. HomeopathyD. Regulatory system A new school has x day students and y boarding students. The fees for a day student are $600 a term. The fees for a boarding student are $1200 a term. The school needs at least $720 000 a term. Show that this information can be written as x + 2y 1200. Which redox reaction would most likely occur if silver and zinc metal were added to a solution that contained silver and zinc ions?