Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?
Answer:
2nd option
Step-by-step explanation:
To convert from (x, y ) → (r, θ )
where
r = [tex]\sqrt{x^2+y^2}[/tex]
θ = [tex]tan^{-1}[/tex] ([tex]\frac{y}{x}[/tex] )
Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant
r = [tex]\sqrt{(-4)^2+5^2}[/tex] = [tex]\sqrt{16+25}[/tex] = [tex]\sqrt{41}[/tex]
θ = [tex]tan^{-1}[/tex] ([tex]\frac{5}{4}[/tex] ) ≈ 51.3° ← related acute angle , then
θ = 180° - 51.3° = 128.7°
Thus
(- 4, 5 ) → ([tex]\sqrt{41}[/tex], 128.7° ) in polar form
Find the length of the missing side.
Answer: Should be 14
Step-by-step explanation:
MARKING BRAINLIEST AND +50 PTS IF CORRECT!!!!
(02.01)The figure shows a pair of parallel line segments on a coordinate grid:
I added the pic.
The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?
Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.
Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Answer:If you have two parallel lines and shift both to the left by the same amount, that does not alter the distance between the lines. Thus, c is correct.
Step-by-step explanation:
HELPPPP PLEASE QUICK !!!!
What is the domain and range of the function y=2* ?
Use the graph to help!
4
-2
Answer:
what graph
Step-by-step explanation:
if a tellemarketer made 200 phone calls and 35 customers signed up what is the relative frequency of getting a customer and not getting a customer
(PLS ANSWER THIS IS DUE TMR)
Answer:
82.5% and 17.5%
Step-by-step explanation:
The telemarketer made 200 phone calls and only 35 people signed up. Therefore, we need to find the amount of people who didnt.
200 - 35 = 165
165 people did not sign up.
This meants that the frequency of getting a customer is 35/200 and not is 165/200. In percentages,
The relative frequency of not getting a customer is 82.5%
The relative frequency of getting a customer is 17.5%
ASAP
-WILL MARK BRIANIST
Answer:
The answer is 699...............
Answer:
699
Step-by-step explanation:
First replace the value k to 12.
So our new expression will be:
3+(71-13) times 12
You first do the Parentheses so substract 71 minus 13 which gives you 58 then multiply 58 times 12 which gives you 696 then add 3 to it and you get 699.
Points Points Points
Answer:
THANK YOU!
Step-by-step explanation:
Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0
Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
A video uploaded had 54 upvotes if the ratio of up votes to down votes was 9:8 how many down votes did the video get
Answer:
48
Step-by-step explanation:
Given data
Ratio= 9:8
Combined ratio= 9+8= 17
Upvotes= 54
Let us apply the part to all approach to find the total votes
let the total votes be x
9/17= 54/x
cross multiply
9x= 54*17
9x= 918
divide both sides by 9
x= 918/9
x=102
Hence the number of downvotes is
=102-54
=48
Help plz..And No links!! I repeat No links!!
Answer:
4
Step-by-step explanation:
it takes 2 people 5 hours to plough a field. how long does it take 3 people
Round your answer to the nearest hundredth find side BC
Answer:
take 70 degree as reference angle
using cos rule
let adjacent be x
cos70=adjacent/hypotenuse
0.34=x/5
0.34*5=x
1.7=x
Step-by-step explanation:
Solve for x. Show your work.
Answer:
x=6
Step-by-step explanation:
The sum of the angles is a right angle, which is 90 degrees
5x+ x+54 = 90
Combine like terms
6x+54 = 90
Subtract 54 from each side
6x+54-54 = 90-54
6x = 36
Divide each side by 6
6x/6 = 36/6
x= 6
Order these numbers from least to greatest.
7.13, 7.013, 7.2, 7.1371
Answer:
7.013, 7.13, 7.1371, 7.2
Step-by-step explanation:
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
After going on vacation, Mandy came home with $5. She spent $6 on a pair of sunglasses, $10 on snacks, $4 on a book, and $5 on arcade games. How much money did Mandy start with?
Answer:
$30
Step-by-step explanation:
Adding up all the expenditures and the remaining amount
starting amount = expenses + remainder
starting amount = ($5 + $6 + $10 + $4) + ($5)
starting amount = $30
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
To solve the problem "56 is what percent of 70?", Noah uses the double number line below. On the double number line, write the correct numbers at each unlabeled tick mark. Then solve the problem. Explain your answer
Answer:
80%
Step-by-step explanation:
I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...
56 / 70 = 0.8
0.8 * 100 = 80%
answer correct and fast
Hello there I hope you are having an great Day :)
1) 32780ml = 32.78
2) 37 1/2% of 24 = 9
Hopefully that helps you :)
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
Kailey plays video games for x hours a month. Trent plays video games four hours more than Kylie and Megan plays two times more than Trent. Which expression relates the amount of time Megan spends playing video games?
Answer:
8 + 2x
Step-by-step explanation:
Given that :
Kyle's game time = x
Trent's game time = 4 hours more than Kylie = 4 + x
Megan's game time = 2 times more than Trent ; this equals ; 2 * (4 + x) = 2(4 + x) = 8 + 2x
HELP ME PLEASE I WILL GIVE BRAINLIEST!
Answer:
the correct answer is option C
As a fundraiser, the Music Boosters wrapped gifts at the mall one weekend.
Out of the 100 gifts they wrapped, 310 were for weddings, and 37100 were for baby showers.
The rest of the gifts were for birthdays. What fraction of the gifts was for birthdays?
Enter your answer in the boxes.
Step-by-step explanation:
[tex]but : \\ (36790 - x) + x + (37100 - x - B) = 37100 \\ 73890 - x - B = 37100 \\ x + B = 36790 - - - (a) \\ and : \\ (310 - B - x) + x + (36790 - x) = 310 \\ 37100 - B - x = 310 \\ x + B = - 36790 \\ B = 36790 - x[/tex]
Answer:
(36790−x)+x+(37100−x−B)=37100
73890−x−B=37100
x+B=36790−−−(a)
(310−B−x)+x+(36790−x)=310
37100−B−x=310
x+B=−36790
B=36790−x
Step-by-step explanation:
good luck
Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Which of the following pairs of lines are not parallel?
Answer: Not sure
Step-by-step explanation: A is wrong because they are parallel in one is on the top to the right and 1 is on the bottom. sorry thats all i know :(
Find x and y. (geometry)
Answer:
D
[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]
[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]
What is the value of x?
Answer:
if we are finding the perimeter it would be x = 24
but if it is area it would be x = 480
Step-by-step explanation:
5+5+5x500 x24000000000000
Answer:
6e+16
but that equals
32.3096909708
Answer:
6 x 10^ 17
Step-by-step explanation:
5+5+5 = 15
15 x 500 x 240000000000000
SOMEBODY PLEASE HELP ME I REALLY NEED IT
Answer:
The area is 35 square units.
Step-by-step explanation:
The entire figure is formed by four triangles and a rectangle, whose sum represents the total area ([tex]A_{T}[/tex]), in square units, represented by the following formula:
[tex]A_{T} = A_{1} + A_{2} + A_{3} + A_{4} + A_{5}[/tex] (1)
Where:
[tex]A_{1}[/tex], [tex]A_{2}[/tex], [tex]A_{3}[/tex], [tex]A_{4}[/tex] - Areas of the four triangles.
[tex]A_{5}[/tex] - Area of the rectangle.
By using the area formulas of a triangle and rectangle we expand the equation described above:
[tex]A_{T} = \frac{1}{2}\cdot (3)\cdot (6) + \frac{1}{2}\cdot (3)\cdot (2) + \frac{1}{2}\cdot (2)\cdot (2) + \frac{1}{2}\cdot (3)\cdot (6) + (2)\cdot (6)[/tex]
[tex]A_{T} = 35\,u^{2}[/tex]
The area is 35 square units.
Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.
Answer:
2090
Step-by-step explanation:
0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent