Answers
Answer:
-161.57°, or 198.43°
Step-by-step explanation:
The third-quadrant angle can be found using the usual rectangular-to-polar conversion. The angle is given by ...
θ = ATAN2(x, y) = ATAN2(-12, -4) ≈ -161.57°
__
More conventionally, the reference angle is ...
tan(θ) = y/x = -4/-12 = 1/3
θ = arctan(1/3) ≈ 18.43° . . . . angle from -x axis (CCW)
Since this is a 3rd-quadrant angle, the positive angle value will be 180° plus the reference angle:
180° +18.43° = 198.43°
The angle most directly measured from the +x axis is ...
360° -198.43° = -161.57°
Related Questions
Help thank u!
A car dealer bought a car for $1500 at an auction and then sold it for $3500. What was the percent gain on the cost?
Answers
Answer:
133
Step-by-step explanation:
$3500 - $1500 = $2000
2000/1500 ×100
=1.33 × 100
=133%
The diagram shows a circle inside a rectangle....
Answers
Answer:
let [tex]x[/tex] = height of rectangle
Given:
height of rectangle = diameter of circlelength of rectangle = 3 × height of rectangleTherefore,
height of rectangle = [tex]x[/tex]diameter of circle = [tex]x[/tex]radius of circle = [tex]\dfrac{1}{2}x[/tex]length of rectangle = [tex]3x[/tex]Shaded area = area of rectangle - area of circle
Area of rectangle = length × height
= [tex]3x \times x[/tex]
= [tex]3x^2[/tex]
Area of circle = [tex]\pi r^2[/tex]
[tex]=\pi \left(\dfrac{1}{2}x\right)^2[/tex]
[tex]=\dfrac14\pi x^2[/tex]
[tex]\implies \textsf{shaded area}=3x^2-\dfrac14\pi x^2[/tex]
If the radius = 2 cm, then the diameter ([tex]x[/tex]) = 4 cm
Substituting [tex]x = 4[/tex] into the equation:
[tex]\implies \textsf{shaded area}=3(4)^2-\dfrac14\pi (4)^2[/tex]
[tex]\implies \textsf{shaded area}=48-4\pi[/tex]
[tex]\implies \textsf{shaded area}=4(12-\pi) \textsf{ cm}^2[/tex]
x^2-10=0 solve for all real values of x
this is very hard lol pls help
Answers
so x^2-10=0
we add 10 to both sides of the equation x^2 = 10
then take the square root of both sides of the equation to eliminate the exponent on the left side x = ± √10
The complete solution is the result of both the positive and negative portions of the solution. x = √10 ,−√10
the result can be shown in multiple forms
Exact Form :x=√10,−√10x=10,-10
Decimal Form: x=3.16227766…,−3.16227766
4. Ms. G learns how to play 28 songs on the guitar
in one week. How many songs does Ms. G learn to
play in one day?
Answers
Answer:
4
Step-by-step explanation:
1 week = 7 days
28 divided by 7
Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?
Answers
Answer:
2.91 mph
Step-by-step explanation:
To find the unit rate you just divided 35 miles into 12.
35 ÷ 12 = 2.91
2(x − 3) = 14 what does x equal
Answers
Answer:
28x--84
hope this helps, have a great day
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
2(x − 3) = 14
2x+2 . -3 = 14
2x-16=14
2x-6+6=14+6
2x=14+6
2x=20
divide both sides by 2
Graph y = 1/2cosπx
[tex] \\ \\ [/tex]
Answers
How to do?
First graph cosine function
y=cosx(Attachment 1)Now increase it's frequency by π
y=cosπx(Attachment 2)Half the amplitude
y=1/2cosπx(Attachment 3)what problem is equivelnt to 8 x (5 x b)
Answers
The 2 is small i just cant make it small
i will give u brianliest! pls help
Answers
1 - x2 -y2 +2xy answer me fast plsss
Answers
Answer:
-(1+x-y)(x-y-1)
Step-by-step explanation:
since both terms are perfect squares, factor using the difference of squares formula
a2 - b2 = (a+b) (a-b) where a = 1 and b= x-y
-(1+x-y)(x-y-1)
Answer:Factor by grouping.
(x+3y)(x−5y)
Step-by-step explanation:
evaluate (-5) to the power of 3
Answers
Answer:
(-5)^3 = -125
Step-by-step explanation:
(-5)^3
= (-5) × (-5) × (-5) = -125
= (-5)^3 = -125
(-5) to the power of 3 is just (-5) multiplied by itself 3 times so (-5) to the power of 3 is (-5)^3 which is -125
Step-by-step explanation:
it's quite easy to go around this problem.
first you gotta consider the negative (-) sign..
you know when a negative sign multiplies another negative sign you'll get a positive sign.
example
-5*-5= ?
since you know the negative sign would turn to a positive sign when they multiply each other.
and be mindful of problems with different signs like
−6×9, you'll definitely get a negative answer
Now to your question.
(−5)^3, if you're struggling with composite expression,all you need is to break it down to simplified form
since it's -5 raised to the power of 3
you can as well write it as -5*-5*-5 (pay attention to the negative sign). then go through with your calculations
if you do it correctly, you'll arrive at the answer
-125
Convert the shown equation below into standard form. Show an Example to get brainliest. Plz Help.
Answers
Answer oor the question
12x+20y
sup
Drew ran a bake sale that made 108, 86, 101, and 52 dollars for the four nights of a school play. The school principal asks, "About how much did the snack bar make?" Drew estimates by rounding to the nearest 5 and adding.
Answers
Answer:
$345
Step-by-step explanation:
108+86+101+52=347
347 rounded to the nearest 5 is 345
Caleb invested
$
1400
$1400 in an account that pays 4% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Caleb would have in the account 7 years after his initial investment. Round to the nearest tenth (if necessary)
Answers
The amount of money Caleb would have in his account after the inital investment is $1,842.30.
What is the future value of the investment?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$1400 x (1.04)^7 = $1,842.30
To learn more about future value, please check: https://brainly.com/question/18760477
How many 5th equals 9
Answers
The number of 5ths that equals 9 is gotten bus using multiplication property of equality by multiplying 9 by 5 to give; 45
How to find the number of terms?We want to find the number of 5ths that equals 9. We can express this as;
¹/₅x = 9
Where x is the number that is multiplied with one - fifth to equal 9.
To solve it, we will apply multiplication property of equality by multiplying both sides by 5 to get;
x = 45
Thus, the number of 5ths that equals 9 is 45.
Read more about Number of terms at; https://brainly.com/question/7882626
What is (-i)^6? If you can assisy
Answers
Answer:
-1
Step-by-step explanation:
64x2 + 49
Factor the expression
Answers
Answer:
[tex]177[/tex]
Step-by-step explanation:
[tex]64\cdot \:2+49[/tex]
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
[tex]64\cdot \:2=128[/tex]
[tex]=128+49[/tex]
[tex]128+49=177[/tex]
[tex]=177[/tex]
19) Write all the integers between –5 and 4 in decreasing order.
Answers
Answer:
See below.
Step-by-step explanation:
We are asked for all of the integers between -5 and 4 in decreasing order. (Highest to Lowest)
What are Integers?
Integers are whole numbers that can be positive or negative.
Integers are Not:
Irrational.Fractions.Decimals.Percentages.Integers -5 ≤ x ≤ 4 are:
4, 3, 2, 1, 0, -1, -2, -3, -4, -5.
(0 is also an Integer)
Decrease 210kg by 16%
Answers
210 - 210 x 16% = 210 x 84% = 176,40
3 ways to make whole 2.8
Answers
Step-by-step explanation:
please mark me as brainlist please
Answer:
2.8 as a whole is 2 4/5. Take out the fraction, 4/5.2.8 can also be 28/10 which is the improper number of 2 8/10.2.8 can also be simplified to 1.4, 1.4 is 1 2/5.please consider brainliest
1-1=0
2-1=3
3-1=8
4-1=
Answers
Answer:
4 - 1 = 3
No matter what happens.
3 - 1 is 2
and 2 - 1 = 1
Answer:
3
Step-by-step explanation: 4-1=3 ex. may apat na bon binaril ang isa ilan ang natira diba tatlo hahahahahahaSolve for m in the given equation: 3(m + 2) = -( 6- m) + 10
Answers
Answer:
m = -1
Step-by-step explanation:
3(m + 2) = -( 6- m) + 10
Distribute
3m +6 = -6+m +10
Combine like terms
3m+6 = m+4
Subtract m from each side
3m-m+6 = m+4-m
2m+6 = 4
Subtract 6 from each side
2m+6-6 = 4-6
2m = -2
Divide by 2
2m/2 = -2/2
m = -1
Kelly spends $59.00 on items for a party. She buys thank you cards that cost $5.00 (including tax). She also buys gift bags that cost $10.80 each. If she buys one gift bag for each guest, how many guests did Kelly invite to the party?
Answers
Answer:
she bought 5 cards, which equals to $54
and then she bought 1 card
Step-by-step explanation:
How to round a mixed number to the nearest half
Answers
Find the area of the rectangle with measurements shown; reduce to lowest terms:
Length: 2 2/5 feet; Width: 1/3 feet
A. 5 7/15 square feet
B. 1 12/15 square feet
C. 4/5 feet
D. 4/5 square feet
I need help, I will give 14 points
Answers
= 12/5 ft x 1/3 ft
= 4/5 square feet
D
1. You are saving to buy a bike that will cost at least $110. Your
parents give you $65 toward the bike. Write an inequality to find
how much money you have to save. Then solve the inequality.
Answers
Answer:
x ≥ 110 - 65
x ≥ 45
Step-by-step explanation:
Help, please. A museum charges a $6 admission fee for every person (btw there's 4 people). Write an equation to represent the relationship between the number of people x, and the total collected, y.
Answers
Answer:
y = 6x
Step-by-step explanation:
if its $6 per person, each new person is gonna chagre $6
Need help again with math homework please!
Question 1: Write an equation to solve for the question mark.
Question 2: Explain the error the student made.
Question 3: Find x.
Question 4: Find m
Thank you!!
Answers
Answer:
[tex]Question \: 1: \: let \: the \: question \: mark \: be \: n \\ n = 63 \\
Question \: 2: \: the \: error \: the \: student \: made \: is \: \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\
Question \: 3: \: x = 15 \\
Question \: 4: m( GFC)
= 80. \\ [/tex]
Step-by-step explanation:
[tex]let \: the \: unknown \: be \: n \\ then \\ 87 + n = 150 \\ n \: = 150 - 87 = 63. \\ the \: mistake \: is \: by \: the \: expression : \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\ 10x = 150 \\ x = 15. \\ 6x - 10 = 6 \times 15 - 10 \\ GFC
= 80. \\ [/tex]
A quadrilateral PQRS has vertices located at P(-1,5), Q(-3, 2), R(6,2), and S(8,5). Shane thinks that QR = SP. Which of the
following is true?
Answers
Answer:
QR does indeed = SP
Step-by-step explanation:
9(x+1)=25+x solve for x
Answers
Answer:
x=2
Step-by-step explanation:
you'll have to take my word for it