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
kumpel [21]
3 years ago
15

Which of the following is the best estimate of the direction of the given vector?

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

The direction of the given vector is 45° N of W

Step-by-step explanation:

* Lets revise the four directions with the four quadrants

- The four directions are:

# North which represented by the positive part of y-axis

# South which represented by the negative part of y-axis

# East which represented by the positive part of x-axis

# West which represented by the negative part of y-axis

∴ The first quadrant is between the East and the North

∴ The second quadrant is between the West and the North

∴ The third quadrant is between the West and the South

∴ The fourth quadrant is between the East and the South

* The direction of any vector is tan Ф, where Ф is the angle between

 the vector and the x-axis, then:

- The direction of North of East is 45° ⇒ first quadrant

- The direction of North of West is 45° ⇒ second quadrant

- The direction of South of West is 45° ⇒ third quadrant

- The direction of South of East is 45° ⇒ fourth quadrant

* Now lets solve the problem

∵ The direction of the vector is between the North and the West

  (its vertex in the second quadrant)

∴ Its direction is 45° North of West

* The direction of the given vector is 45° N of W

You might be interested in
Write a formula for perimeter and area of a circle<br> Thank you !
Ratling [72]

Answer:

<em>The area of a circle is πr2 and the perimeter (circumference) is 2πr</em>

<em>thank</em><em> </em><em>you</em><em> </em><em />

3 0
3 years ago
Read 2 more answers
I need your help please I don’t understand this
Step2247 [10]
The answer is y = -5/7x + 4/7! The first step is to subtract the 5x so it’s on the other side of the equal sign. So now the equation is 7y = -5x + 4. Then divide each of them for 7
3 0
3 years ago
Read 2 more answers
Simplify expression 3(d+5)
steposvetlana [31]

Answer:

your answer would be 21

~hope this is the right answer, have a great day/night~

Step-by-step explanation:

6 0
3 years ago
Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4?
notka56 [123]
X(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x
5 0
3 years ago
Read 2 more answers
Find the volume of a cube with the given side: 2cm
Roman55 [17]

Volume is length x width x height.

A cube has the same length, width and height.

The volume of the cube is 2 x 2 x 2 = 8cm

Answer: 8 cm

Happy to help!

8 0
3 years ago
Read 2 more answers
Other questions:
  • The site of the biggest and bloodiest Civil War battle in Georgia was A) Andersonville. B) Atlanta. C) Chattanooga. D) Chickamau
    13·1 answer
  • The middle question please my sister needs help and I don't know how to solve it
    15·1 answer
  • Students are going on a field
    12·1 answer
  • Two-fifths as a decimal, percent and fractoin
    8·1 answer
  • What is NOT an advantage of a credit union over a commercial bank?
    11·1 answer
  • 8. A furniture shop sells sofas for $880. If the shop wanted to offer the lower price of $640, what rate of markdown would it ha
    5·1 answer
  • Mark jogged 0.6 miles. Caroline jogged 0.49 miles. Write an inequality to compare the distances they jogged
    6·2 answers
  • I Need Help on this Math Problem!
    8·1 answer
  • Identify an equation in point-slope form for the line perpendicular to y = -1/2x + 11 that passes through (4, -8)
    14·1 answer
  • What is the value of x?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!