(a) The solutions to the equation 2sin(3θ) + 1 = 0 are θ = (π/9) + (2πk/3) or θ = (8π/9) + (2πk/3), where k is any integer.
(b) The solutions in the interval [0, 2π) are θ = π/9, 5π/9.
(a) How to find all solutions of the equation?The given equation is 2sin(3θ) + 1 = 0. To solve for θ, we can start by isolating sin(3θ) by subtracting 1 from both sides and dividing by 2, which gives sin(3θ) = -1/2.
Using the unit circle or a trigonometric table, we can find the solutions of sin(3θ) = -1/2 in the interval [0, 2π) to be θ = π/9 + (2π/3)k or θ = 5π/9 + (2π/3)k, where k is any integer. These are the solutions for part (a).
(b) How to find solutions in interval?For part (b), we are asked to find the solutions in the interval [0, 2π). To do this, we simply plug in k = 0, 1, and 2 to the solutions we found in part (a), and discard any values outside the interval [0, 2π).
Thus, the solutions in the interval [0, 2π) are θ = π/9 and θ = 5π/9.
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Help Please!!!!!! thnk you
Answer:
anser A
Step-by-step explanation:
Let's fill x and y and we'll see which one is right
a) 0 = -3(-7+7)(-7+4)
<=> 0 = 3 * 0 * -3
<=> 0 = 0 => true
b) 0 = -0.5(-7-7)(-7+4)
<=> 0 = -0.5 * -14 * -3
<=> 0 = -21 => false
c) 0 = (-7-7)(-7-4)
<=> 0 = -154 => false
d) 0 = 2(-7+7)(-7-4)
<=> 0 = 0 => true
so both a and d are right for (-7,0). Now let's for (-4,0)
a) 0 = -3(-4+7)(-4+4)
<=> 0 = 0 => true
d) 0 = 2(-4+7)(-4-4)
<=> 0 = -48 => false
-5, -5.2,5.5,-51/2,-5/2
Least to greatest
Answer:
-5 1/2, -5.2, -5, -5/2, 5.5
Step-by-step explanation:
a woman is 5 times as old as her daughter in 15 years time to be two times as old as her daughter to find a mother's presentsage
Answer:
25 years.
Step-by-step explanation:
Given that a woman is 5 times as old as her daughter, while in 15 years time it will be two times as old as her daughter, to find a mother's presents age the following calculation must be performed:
5 x 5 = 25
25 + 15 = 40
40/2 = 20
5 + 15 = 20
Thus, the present age of the mother is 25 years, while that of her daughter is 5 years, with which the mother is five times the age of her daughter. In 15 years, the mother will be 40 and her daughter 20, with which she will only be twice her age.
Drag numbers to show which are closest to ‐1 and ‐14 on the number line.
A number line from negative 1 to 1 in fourths.
Closest to ‐1
Closest to ‐14
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
How to Interpret Number Lines?
A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.
The closest number to -1 from the given options is -0.82
The closest number to -1/4 from the given options is -0.28
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I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
44 ounces
Step-by-step explanation:
Multiply
3 2/3 x 12
11/3 x 12 = 11 x 12 / 3 = 132/3
convert
44 ounces
Hope this helps ^-^
Which is the graph of y = –|2x + 1|?
Group of answer choices
Answer:
The answer would be the third graph with the coordinates as: (0,-1), (1, -3)
Step-by-step explanation:
Hope this helps :))
The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?
The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?
Oranges (lb) Price ($)
2--------- $3
3--------- $4.50
5--------- $7.50
Answer:
proportional relationship. Exist
Step-by-step explanation:
To check for propottionality:
2 = 3k
Solve for k = constant of proportionality
2/3 = 3k/3
2/3 = k
Quantity at price = 4.50
Price * k = quantity
4.50 * 2/3 = 3
Quantity at price = 7.50
Price * k = quantity
7.50 * 2/3 = 5
Hence, proportional relationship. Exist
Yall know how to do this?
Answer: no
80+ x+5 + x-5 =180
2x=100
x=50
so
80 and 55 and 45
Step-by-step explanation:
Answer:
Sean is incorrect.
Step-by-step explanation:
The interior angle of this triangle with the exterior angle of 80° is 100°, so the sum of the remaining angles should be 80°, which means (X + 5) + (X - 5) = 80. Take off the parenthesis, 2X = 80, which means X = 40°. This is where Sean's answer was wrong, he forgot that the remaining angles are X + 5 and X - 5 instead of X, which means that the angles in this triangle should actually be 100°, 45°, and 35°.
This is the function f(x)= x2 − 4x + 6 .
What is the axis of symmetry?
Answer:
x = 2
Step-by-step explanation:
does this table represent a liner or nonlinear function
Answer:Nonlinear
Step-by-step explanation:
The ratio is 1:8 meaning if you divide the second part by 8 it should get you the first part but 16/8 is 2 not 3 therefore it is not linear
beslenmenin spor üzerindeki etgisi
Answer:
enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı
telafi edilebilir
Hai thinks there must be about 600 sprinkles on his donut. Hai starts by eating 25% of the donut. About how many sprinkles does he eat?
Answer:
45
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
55°
20
16.4
244
163
23.0
Answer:
16.4
Step-by-step explanation:
sin 55 = x/20
x = 20 sin 55 = 16.4
Benjamin bought a 3- pound bag of flour for 6.95. What is the unit price per ounce of flour? (1 pound =16 ounces)
Answer:
$0.145/ounce
Step-by-step explanation:
Find the unit price by dividing $6.95 by 3 pounds and then multiplying the result by (1 pound)/(16 oz):
$6.95 * 1 pound
------------------------------- = $0.145/ounce
(3 pounds) * (16 oz)
what is the value of x ??
Answer:
the answer ia A:8
Step-by-step explanation:
hope this helped :)
Answer:
it is b 12
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more trips?
Answer:
480
Step-by-step explanation:
8/9i+12=2/9i+34 (solve for i)
Answer: I=33
Step-by-step explanation: hope this help
A bakery made 1, 575 butter cookies. After arranging the cookies into packages, the bakery did not have any cookies left. How many cookies could have in each package? *
1 point
A. 6
B. 5
C. 9
D.4
Answer:
B. 5 might be the answer.
Answer: Either B. 5 or C. 9
Explanation: Assuming there would be the same amount of cookies in each package, to see if they would all fit perfectly and there be no leftover cookies, simply divide 1,575 (the number of total cookies) by how many cookies could be in each package. If it comes out with "point something," then the numbers after the decimal point would be how many cookies will be leftover. 5 and 9 both end up with no decimal, so that's as much as I know.
CAN YOU READ THIS AMD IF YOU CAN HELP ME!!!!! THIS CRAZY I NEED PROFESSIONAL!!!!!!!!!!!!!
Answer:
1.x=-3,-4
2.A
3.-3,-5
4.C
5.A
6.C
7.D
8.C
Step-by-step explanation:
If x^{2} + y*sqrt{xy} = 10 and y^{2} + x*sqrt{xy} = 20, what is x?
Answer:
45
Step-by-step explanation:
If x and y are positive integers, what is the value of x√+y√x+y?
(1) x + y = 10
(2) xy−−√=2xy
5.
Write a rule for the linear function in the table.
A. f(x) = x – 4
B. f(x) = x – 5
C. f(x) = 3x
D. f(x) = x + 4
Answer: my answer.... A. f(x) = x - 4
Answer: all on brainly
f(x) = –4x is a function rule for the table.
Step-by-step explanation: all on brainly
f(x)=x-4 is the answer i believe
Answer :
The function is
Step-by-step explanation:
Given values in table :
x f(x)
3 -1
4 0
5 1
6 2
Here we see there is a difference of 4 in the values of x and f(x)
i.e. 3-(-1)=4
or 4-0=4
Similarly 5-1=4
6-2=4
So x-F(x)=4
Adding F(x) -4 both sides
x-F(x) +F(x) -4=4+F(x) -4
We have F(x)= x-4
Step-by-step explanation: someone's brainly answer
A. f(x) = x - 4
Two angles of an isosceles triangle are X and (X+10) .find two possible values of X.
Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
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properties of rectangle
and your free fire id
Answer:
i am not play free fire
muje school dhyan nahi ate eseleye
The McMillians noticed that the amount of natural gas they use at their house each month is related to the average monthly temperature, as shown in this scatter plot. The slope of the line best fit -2.5 therms per degree. Which explains how the slope can be interpreted?
(PLEASE HELP ME, i don’t understand it!)
Answer:
Its B
Step-by-step explanation:
For each increase of 10° the amount of gas used is about 25 therms less
f(x)=3? What is the input value
Answer: (The explanation is in the image)
You might need to zoom in on it to see
Jen rode her bike
1
5
of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Answer:
2.4 miles per hour
Step-by-step explanation:
1/5 of a mile is 0.2 miles. If 0.2 miles is 5 minutes, then 0.04 miles is 1 minute, as you divide 0.2 by 5. 0.04 miles per minute=2.4 miles per hour as you times 0.04 by 60.
The temperature ws 56 degrees this morning but dropped one degree per hour through
the rest of the day. Write an equation in slope intercept form to represent the situation.
O y = 5.50x + 20
O None of the other answers are correct
O y = 65x
O y = 60x + 300
O y = -x + 56
Answer:
y=-x+56
Step-by-step explanation:
A linear equation is an equation in which each term has at max one degree. The correct option is D, y = -x + 56.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form,
y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Given that the temperature was 56 degrees this morning but dropped one degree per hour through the rest of the day. Therefore, an equation in slope intercept form to represent the temperature of the day at any given hour is,
y = 56 - x
y = -x + 56
Hence, the equation in slope intercept form to represent the temperature of the day at any given hour is y = -x + 56.
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8.please help this is timed !!!
Answer:
X=4
Step-by-step explanation:
x+y=6
(+)x-y=2 (Add to get rid of y's)
2x=8
2x/2=8/2
x=4
24. Morgan and Natalie's heights can be
compared using a scale of 1.5 inch :2.5
inches. If Morgan is 36 inches tall, find Natalie's
height. Give your answer in feet.