1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jenyasd209 [6]
3 years ago
8

What is the angle between the given vector and the positive direction of the x-axis 8i 6j?

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
The given vector is
8i + 6j
The angle can be calculated using
θ = tan⁻¹ (b/a)
where b and a are determined from
ai + bj
θ = tan⁻¹ (6/8) = 36.9 degrees
The angle between the vector and the positive x-direction is 36.9 degrees.
You might be interested in
Need help plz<br> Expand and combine like terms.<br><br> (5a³−6a²)(5a³+6a²)=
nignag [31]

Answer:

=25a6−36a4

Step-by-step explanation:

=(5a3+−6a2)(5a3+6a2)

=(5a3)(5a3)+(5a3)(6a2)+(−6a2)(5a3)+(−6a2)(6a2)

=25a6+30a5−30a5−36a4

=25a6−36a4

7 0
3 years ago
A store sells packages of pencils.which package offers the best unit price
tiny-mole [99]
The details of the packages are not posted, however I can tell you how to find the answer.

First determine how many pencils are in each pack.
Then divide the price of the pack by the number of pencils to find out which pack has the least cost per pencil. To put this in equation form:
\frac{Cost}{Pencils}

Whichever pack has the least cost per pencil is the one that is the best priced. 

7 0
3 years ago
You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the
dem82 [27]

Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as \frac{W}{H}=\frac{16}{9} or W=\frac{16}{9} H

Screen of the T.V. is 65 inch which is the diagonal length of the screen.

We know from pythagoras theorem in a right angle triangle

(diagonal)^{2}=(base)^2+(height)^2

(65)^2=(Base)^2+(height)^2

(65)^2= W^2+H^2 = (\frac{16}{9}H)^2+H^2

(65)= \sqrt{\frac{16}{9}H^2+H^2}\\ 65=H\sqrt{\frac{16}{9}+1}\\ 65=H\sqrt{\frac{25}{9}}\\ 65=\frac{5}{3}H\\ H=39 inches

Now height of the T.V.will be

\frac{W}{H}=\frac{16}{9} \\\\\frac{H}{W}=\frac{9}{16}\\ H=\frac{9}{16}W = (\frac{9}{16})39= 21.94 Inches

now area of the T.V.=W×H=39×21.94=855.66 square inch


8 0
3 years ago
Read 2 more answers
PLEASE HELP 100 POINTS!!! The function f(x)=12sin(x−π4) is used to describe a water wave. The value x is the time in seconds, an
Otrada [13]

Answer:

okay, y=(1)/(2)*\sin (x-(\pi )/(4))

Step-by-step explanation:

dc,.lasbkjdflbfjskfnb

6 0
3 years ago
Use the order of operations to simplify the given expression.<br> 4−6+2⋅7
andrezito [222]

Answer:

19

Step-by-step explanation:

PEMDAS

no parenthesis

no exponents

4-6+2 x 7

4-6+ 17

no division

4-6=2

2+17

19 is the answer

6 0
4 years ago
Read 2 more answers
Other questions:
  • Can someone help me? Please :/
    8·1 answer
  • What is the value of n in the equation -1.2(2n+4)+6=-9+4(2n+1)
    13·2 answers
  • 3+5h-14 word phrase
    9·1 answer
  • What expression can you write to describe the overall change in temperature?Do not included the temperature at the beginning of
    12·1 answer
  • The manager at a smoothie stand keeps track of the number of protein smoothies and berry smoothies sold each day and the total m
    10·1 answer
  • What are the pattern for the following numbers, 27, 18, 12, 8?
    11·2 answers
  • Refer to the diagram for Exercises 1-3.
    10·2 answers
  • Doug is a salesperson in a retail store and earns $75 per week, plus 15% of his weekly sales. If Doug makes $555 one week, what
    10·1 answer
  • (brainliest) please help! :D
    7·1 answer
  • A line goes through the points (−8,−5) and (−10,−6). Find its slope. Enter your answer as a simplified improper fraction, if nec
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!