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
marin [14]
3 years ago
7

A unit vector lies in the plane, at an angle of 141 degrees from the axis, with a positive component. What is the unit vector?

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer: The vector is (-0.777, 0.629)

Step-by-step explanation:

We have to convert the polar coordinates to the cartesian coordinates by using the relations:

x = R*cos (\alpha ) and y = R*sen(\alpha ), where R is the radius (in this case the unit, 1) and α the angle formed with the axis. Then:

x = 1 * cos (141) = -0.777 and y = 1*sen(141) = 0.629.

You might be interested in
If the volume of a cubical box is 1728cm find its total surface area​
Lera25 [3.4K]

Answer:

<h2>864 cm²</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=s^3

<em>s</em> - <em>edge</em>

We have

V=1728\ cm^3

Substitute:

s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/texbecause[tex]12^3=1728

The formula of a surface area of a cube:

SA=6s^2

(6 square faces of a cube)

Substitute:

SA=6(12^2)=6(144)=864\ cm^2

8 0
4 years ago
Read 2 more answers
F(x) = -3x-3 g(x) =2x^3+2<br> Find f(6) and g(-3)
wlad13 [49]

Answer:

f(6)=-21\\\\g(-3)=-52

Step-by-step explanation:

When given the following two functions,

f(x) =-3x-3\\g(x)=2x^3+2

One is asked to evaluate the functions for, (f(6)) and (g(-3)). One can do this by substituting the values (6) into the function (f) and (-3) into the function (g). These values will replace the parameter (x).

f(6)=-3(6)-3\\

Simplify,

f(6)=-18-3\\f(6)=-21

Now repeat this process for the guncion (g(x)) to evaluate for (g(-3))

g(-3)=2(-3)^3+2

Simplify,

g(-3)=2(-27)+2\\g(-3)=-54+2\\g(-3)=-52

6 0
3 years ago
Here is a table of values for y= f(x)<br><br>mark the statements that are true.​
Firlakuza [10]

Answer:

B. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6}

D. f(-1) = 6

Step-by-step explanation:

The question gives a table marking the different coordinate pairs for a function, where f(x) is y. The top row represents the x-values and the bottom row represents the y-values.

Domain

The domain of a function is the set of x-values that the graph covers. In this case, the x-values are all integers between -2 and 6. We can see this in the top row of the table. Answer choice B best represents this domain.

Solving for F(x)

F(x) represents a specific y-value, for example, f(-1) represents the y-value when x = -1. So, to test choice D, we need to find what y-value matches -1 on the table. The table shows that when x = -1, f(x) = 6. This means that answer choice D must be correct.

5 0
2 years ago
What are the prime factors of 105 and 52?
Sphinxa [80]
105: 3×5<span>×7
52: 2</span>×2×13 simplified: 2^2<span>×13</span>
5 0
3 years ago
I don’t get number 5, could someone explain to me the answer?
Dima020 [189]

Answer:

I thinks its 33?

Step-by-step explanation:

It said diagonal, not horizontal. Horizontal is left and right, diagonal is up and down, and since its talking about the screen size it should be 33 inches

8 0
3 years ago
Read 2 more answers
Other questions:
  • A Statue cast a shadow 25 feet long a boy standing next to the statues 4.5 feet tall and casts a shadow that is 3.6 feet long ho
    12·1 answer
  • Algebra is not something I'm good at
    6·1 answer
  • Which could be the missing data item for the given set of data if the median of the complete data set is 14?
    13·1 answer
  • sense or nonsense? Lori says 8is not a factor of 80 because 8does not end in zero. Does loris statement make sense
    13·2 answers
  • The next night there are 30 men and 9 women.<br> what is the ratio in its simplest form?
    9·1 answer
  • Name an equivalent ratio for 1/2 with a denominator of 20
    7·2 answers
  • Help me will give Brainlyiest
    14·2 answers
  • 1. If a (x) = 3x + 1 and b (x)=√x-4, what is the domain of (b*a) (x)?
    5·1 answer
  • Lon is selling gift baskets at a craft fair. His costs are $75 for the table and $12 per basket. He sells each basket for $20.
    7·2 answers
  • If Madison had 10 apple and gave 3 away to Zack how many apples does she have
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!