Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩= ⟨1.77,250∘⟩= ⟨5.8,150∘⟩=
Answers
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Related Questions
You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut
Answers
Answer:
you have the highest chance of getting peanuts
On a survey, 3 out of every 8 band members prefer listening to jazz music. Based on the survey, how many out of 240 band members would prefer listening to jazz music
Answers
Answer:
90
Step-by-step explanation:
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).
How many points need to be removed from this graph so that it will be a function?
1 point
2 points
3 points
4 points
Answers
Answer:
3 points
Step-by-step explanation:
A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).
So the relation can be represented with points (x, y), which means that point x is being mapped into point y.
Such that the needed condition is that each element of the domain is mapped into only one element in the domain.
So for example, if for a relationship we have the points (a, b) and (a, c)
The point a is being mapped into two different outputs.
Now let's go to our problem, we have the points:
(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)
If we have repeated inputs, we need to remove points until we have one of each.
We can see that the inputs -3, 1, and 2 are repeated one time.
Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:
(-3, 2), (1, 4), and (2, -4)
This is a function.
Then we need to remove 3 points.
Answer:
C) 3 POINTS
Step-by-step explanation:
ON EDGE 2021
levi was designing a kite. he needs to determine the measure of
Answers
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
Learn more about kite here:
https://brainly.com/question/31239785
#SPJ3
The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
What’s the least common factor of two and six
Answers
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Brainliest for correct answer asap
Answers
Answer:
1st one
Step-by-step explanation:
Step-by-step explanation:
answerss
the Last one or the 1st one but go w it the last
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.
Answers
Answer: False
Step-by-step explanation:
Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answers
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.
Answers
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.
A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answers
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
help me get this answer please
Answers
Answer:
First, we find how many red beads there are:
2 + 1 + 3 = 6
12 - 6 = 6
Red beads = 6
Now we add the red beads and the purple beads:
Purple beads = 3
Red beads = 6
3 + 6 = 9
9/12 = 3/4
Hope this helps!
pls help i fr HAVE TO PASS THIS SIX WEEKS
Answers
Answer:
pretty sure its 68 or 66 dont put 34 tho lol
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answers
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answers
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answers
Answer:
im pretty sure what u have ther is right
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds
Answers
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered
i didn’t mean to pick that but can some one please give me the answer :(
Answers
Answer:
you were right
Step-by-step explanation:
180-104 is 76 76-10=66 66/2 is 33
Answer: x = 33
Step-by-step explanation:
Well since that line is basically equal to 180 all you have to do is plug in those numbers for x. Since 33 + 10 = 43 Alll you gotta do is add that up. So we have 104 + 33 + 43 = 180. I’m not the best at explaining things but I hope this helped :)
A cone has a diameter of 20cm and a height of 12cm, what is the volume of the cone?
Answers
Answer:
The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3
Make sure to round your answer to the nearest significant figure that you're asked.
Step-by-step explanation:
The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3
helppp meee plsss i’m begging
Answers
Answer:
y = 9
Step-by-step explanation:
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
Answers
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
Please help me ASAP
Please help
Answers
Answer:
5 X 4
Step-by-step explanation:
If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.
Hope this helped!!
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answers
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answers
Answer:
b
Step-by-step explanation:
how does 3.1416 come
Answers
Answer:
It is the value of pie(22/7)
9 tens =
Ones how many ones are in 9 10 tens ?
Answers
Answer:
90
Step-by-step explanation:
There are 10 ones in 1 ten.
So if you have 9 tens then...
10 x 9 = 90
What is the value of y?
Answers
Answer:
-1
Step-by-step explanation:
please help im stuck on this
Answers
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answers
Answer:
i
Step-by-step explanation:
dont know
2x +1=x+3 plzzz give the answer
Answers
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2