Which set of rectangular coordinates describes the same location as the polar coordinates (4,pi)?
A. (0,-4)
B. (-4,0)
C. (0,4)
D. (4,0)
Answers
The rectangular coordinate of [tex]\mathbf{(4,\pi)}[/tex] is (-4,0)
The polar coordinate is given as:
[tex]\mathbf{(4,\pi)}[/tex]
To represent the polar coordinates properly, we make use of:
[tex]\mathbf{(r,\theta) = (4,\pi)}[/tex]
Where r represents radius
The rectangular coordinate is represented as: (x,y)
Where:
[tex]\mathbf{x = rcos(\theta)}[/tex]
[tex]\mathbf{y = rsin(\theta)}[/tex]
So, we have:
[tex]\mathbf{x = 4 \times cos(\pi)}[/tex]
Evaluate cos(pi)
[tex]\mathbf{x = 4 \times -1}[/tex]
Multiply
[tex]\mathbf{x = -4}[/tex]
Similarly,
[tex]\mathbf{y = 4 \times sin(\pi)}[/tex]
Evaluate sin(pi)
[tex]\mathbf{y = 4 \times 0}[/tex]
Multiply
[tex]\mathbf{y = 0}[/tex]
Recall that the rectangular coordinate is represented as (x,y)
Hence, the rectangular coordinate of [tex]\mathbf{(4,\pi)}[/tex] is (-4,0)
Read more about coordinates at:
https://brainly.com/question/13078615
Related Questions
Simplify this expression.
6x/
9(x + y)
Answers
Answer:
9x+9y
Step-by-step explanation:
9(x+9y
9x+9y
solution
9x+9y
In 2003, the average price of a movie ticket was $6.00. In 2019, the average movie ticket price was $9.00. What is the percent of increase in the price of movie tickets?
Answers
Answer:
3
Step-by-step explanation:
Juan has 20 books to sell. He sells the books for $15 each.
The amount of money Juan makes from selling x books is represented by a function.
f(x) = 152
What is the practical range of the function?
Answers
Answer:
Step-by-step explanation:
The practical range would be the multiples of 15 between 0 and 300
HELPPP PLZ The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. For number 1 i got The track has 2 sides of the square and the distance around 1 complete circle(s).
ANYONE PLZ HELP I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Can u screen shot the question ( if there is)cuz its quite hard to get the meaning of the question
can anyone answer this bro
The graph of a linear equation contains the points (6,7) and (-4,13) find another point that lies on the graph
Answers
Answer:
(10,4.6)
Step-by-step explanation:
We need to find the equation for the line first
Find the slope:
m = y2-y1/x2-x1
m = 13 - 7 / -4 - 6
m = 6 / -10
Now we need the y intercept (b)
subtitute one of the points into the equation
y = -6/10x + b
7 = -6/10(6) + b
7 = -3.6 + b
10.6 = b
Now we have the full equation for the line
y = -6/10x + 10.6
and we can input any value into x to find the y of the point
y = -6/10(10) + 10.6
y = -6 + 10.6
y = 4.6
Answer:
(11, 4)
Step-by-step explanation:
Find the slope = rise/ run or (change in y values)/(change in x-values)
Using points (6, 7) and (-4, 13) ; Slope = (13 - 7)/(-4 - 6) = 6/-10 = -3/5
From this point if the slope is -3/5 this means the rise is -3 and the run 5.
remember that a negative rise you will move down on the rise from the point and a positive run means you will move across from the point.
Using point (6, 7) .
The run is the x movement on a graph so start at 6 and move to the right 5 places, you in up at x= 11.
The rise is the y movement on the graph so start at 7 and move down 3 places, you are at y = 4
Point (x, y) on the graph is (11, 4)
to check the problem
you from the slope = -3/5 . If you solve for "b" in y = mx + b. The equation of the line in slope intercept form is y = -3/5x + 53/5. Graph the line and check the point or substitute any value for x and solve for y.
*urgent* Determine whether this quadrilateral must be a parallelogram
Answers
Answer:
It is a parallelogram
Step-by-step explanation:
It has slanted sides.
SHOW YOUR WORK! Solve :
4(x + 7) + 3(2x − 5) = −7x + 64
Answers
10x+13=-7x +64
10x-7x=64-13
3x=51
x=17
I hope I helped you=)
PLEASE HELP ASAP
Ebony has her bank account opened for 1 week and the graph shows the entire week. During that time, her greatest balance was $300.
a) Give the domain of the function.
b) Give the range of the function.
Answers
Using it's concepts, the domain and the range of the function are given as follows:
a) Domain: [0, 7].
b) Range: [0, 300].
What are the domain and the range of the function?The domain of a function is composed by the set of all possible input values of the function. Hence, on the graph, the domain is composed by the values of x.
In the context of this problem, the input of the function is the number of days. A week has 7 days, hence the domain of the function is given by:
[0, 7].
The range of a function is composed by the set of all possible output values of the function. Hence, on the graph, the range is composed by the values of y.
In the context of this problem, the output of the function is the balance of the bank account after each day. Supposing that the smallest balance of the account is of $0, and considering the greatest balance of $300 stated in the problem, the range of the function is given by:
[0, 300].
What is the missing information?The graph of the function is incomplete, hence we suppose that the minimum balance is of $0.
More can be learned about the domain and the range of a function at https://brainly.com/question/10197594
#SPJ1
A B and C for a triangle where BAC = 90°, AB=15mm and bc= 18.1mm. Find the length of AC give you answer rounded to the 1 DP
Answers
Answer:
the length of DP will be 13.1
Step-by-step explanation:
Hope this helps mark me brainliest!!!
Write 1,280 as a product of its prime factors
Answers
Answer:
Step-by-step explanation:
1280 = 2 * 2* 2 * 2 * 2 * 2 * 2 * 2 * 5
[tex]= 2^{8} *5[/tex]
HELP T_T
i crown u brainiest
Answers
Answer:
x=8
Step-by-step explanation:
9(8)+12= 84 which makes the other angel of the traingle 96. 7(8)+6 is equal to 62. Adding 62 with 22 and 96 gives you 180, making the traingle complete. Hope this helps :)
Answer:
x = 8
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
9x + 12 is an exterior angle of the triangle , then
9x + 12 = 7x + 6 + 22
9x + 12 = 7x + 28 ( subtract 7x from both sides )
2x + 12 = 28 ( subtract 12 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Detailed explanation please! (will give Brainliest)
Answers
Answer:
12
Step-by-step explanation:
(x / 2) + 4 = 10
(x + 2 * 4 ) / 2 = 10
x + 8 = 20
x = 20 - 8
x = 12
or just
x /2 = 10 -4 = 6
x = 6 * 2 = 12
Answer:
x = 12
Step-by-step explanation:
First multiply everything by 2 getting x alone giving you x + 8 = 20 then move 8 to the other side giving you x = 20 - 8 and then subtract giving you x = 12
Terence biked 9 16 of the distance to school in 1 3 hour. If he maintains the same rate, what is the total amount of time he will take to get to school? Step 1: 9 16 ÷ 1 3 = t Step 2: 16 9 · 1 3 = t Step 3: 16 24 = t Step 4: 2 3 hour will be the time taken to get to school.
Answers
Answer:
2
Step-by-step explanation:
HEY GUYS CAN SOMEONE PLEASE HELP???
ILL GIVE BRAINLIEST AND ILL GIVE OUT 80 POINTS!!
(comment on my posst i wil not put 80 point in here because someone might answer a absurd answer)
Answers
Answer:
80
yeah
correct answer
question
answered
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
Answers
Answer:
The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.
Step-by-step explanation:
$2.56 for 32 oz is a unit price of $2.56/(32 oz) = $0.08/oz
$0.48 for 6 oz is a unit price of $0.48/(6 oz) = $0.08/oz
The unit prices are equal, so the cost of both sizes are proportional.
If x is the weight in oz, multiply the weight by 0.08 to get the cost, y, in dollars.
y = 0.08x
The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.
Estimate 8,109-4,228 by first rounding each number to the nearest hundred.
Answers
Answer: 8109-4228.00
Step-by-step explanation: I'm big brain
B-5=-2. Plz need answer asap b=what???plzzz
6
Answers
Answer:
B=-2+5 collecting like terms
B=3 answer
=13m
h = m
H= 11m
davo
Answers
Is this a question???
Explanation:
Answer for a cookie
A
B
C
D
?
Answers
EXPLANATION
What are the first 4 terms of the arithmetic sequence in the
graph?
Enter your answers in the boxes.
and
Answers
the first 4 sets of coordinates are (2,1) (3,5) (4,9) and (5,13)
The roots of the quadratic function describing the relationship between number of
products produced and overall profit margin are x = 0 and 28. The vertex is a minimum
at (14, -40)
The company actually loses money on their first few products as it costs them more to
make them, but once they hit items they break even again.
The worst case scenario is that they produce items, as they will have a profit of
dollars. The first root tells us that the profit will be 0 when products are
sold.
Answers
What is the value of the expression 5(2^3-3)? Show your work
Answers
Answer:
25
Step-by-step explanation:
2 to the power of 3 gives 8-3 =5times 5 = 25
Multiply. Write your answer as a fraction or as a whole or mixed number.5710×416=
Answers
Answer:
2,375,360
Step-by-step explanation:
Simplify
2x + x + x + 2y x 3y x y
Answers
4x+6y^3x^2
Step-by-step explanation:
2
3
4
+
4
The teacher separated her class of twentyeight students into two groups. One group has 4 more than twice as many students as the other group. How many students are in each group
Answers
Answer:
The first group has 20 and the second group has 8.
Step-by-step explanation:
1. Twice as many as 8 is 16 (8x2)
2. If you add four to the total it's 20 (16+4=20)
3. So group one has four more than twice as many as group 2.
50 POINTS HELP PLEASE WILL GIVE BRAINIEST TO CORRECT ANSWER
When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finished filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
Answers
Answer:
One fills the pool in
6 hours. The other fills the pool in
12 hours.
Step-by-step explanation:
Answer:one pipe would fill up the pool in 6 hours. and the second pipe would fill up the pool in 12 hr
Step-by-step explanation:
Ann went to the bakery, she bought a cake for $15.88,
5 cookies for $.55 each and a dozen doughnuts for $.85 each.
How much did she spend in all
Answers
Answer:
$27.83
Step-by-step explanation:
15.88+5(.55)+12(.85)=28.83
Answer:
Ann spent $28.83.
Why?
We can find the answer by just multiplying the prices of cookies and doughnuts by their amounts, and adding the total prices together. 0.55 x 5 = $2.75, 0.85 x 12 = $10.20. 2.75 + 10.20 + 15.88 = 28.83. Therefore, Ann spent $28.83.
600% of what number is 4,620?
Answers
Answer:
770
Step-by-step explanation:
you can do this by doing a proportion: [tex]\frac{4620}{y}[/tex]=[tex]\frac{600}{100}[/tex]
then multiply 4620 by 100 which is 462,000 and divide that by 600 which is 770 so 600% of 770 is 4,620
600
100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
600
100
of 4620 =
600
100
× 4620
Therefore, the answer is 27720
If you are using a calculator, simply enter 600÷100×4620 which will give you 27720 as the answer.
helppppppppppppppppppppppppppp
Answers
Answer:
4:7, For every 4 books Andrew read, Mia read 7 books.
Step-by-step explanation:
Andrew read 16, Mia read 28, so the ratio is 16:28. This reduces to 4:7.
Answer:
For every 4 books Andrew read, Mia read 7 books.
Step-by-step explanation:
The ratio for 16:28 simplifies to 4:7. hope this helped!!!
For every 2 cars you wash your friend wash 3 cars. You wash a total of 8 cars. How many did your friend wash.
Answers
Answer:
12
Step-by-step explanation:
8/2=4
4x3=12
Answer:
12 cars
Step-by-step explanation:
Ratio 2:3 cars
8:?
To get to 8 from 2, you times by 4, so we do the same on the other side
3 x 4 = 12
8:12
