Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
pls help me with this!
show this standard form equation in a graph
5x+y=-2
Answer:
Step-by-step explanation:
One way to do this is to find the x- and y-intercepts and to plot these:
x-intercept: Let y = 0: 5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0). Plot this point.
y -intercept: Let x = 0: y = -2, so the y-intercept is (0, -2). Plot this point.
Finally, draw a line through these two points.
PLEASEEE HELP I JUST NEED TO KNOW WHICH ONES ARE TRUE AND FALSE
Answer:
Step-by-step explanation:
1-true
2-false
3-true
4-false
(28 divided 7 + 6 divided 3) x 1/2
Answer:
3
Step-by-step explanation:
28/7=4
6/3=2
4+2=6
6*1/2=3
Paraenthies
Exponets
Mulitplication
Divide
Add
Subtract
The polygons are regular polygons. What is the area of the shaded region?
Please my brain literally can’t process this...
Answer:
shaded Area hexagon = Around 281 squared feet
shaded area square 24 squared inches
Step-by-step explanation:
regular hexagon is made up of 6 equilateral triangles. All sides are equal
The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.
Side big hexagon = 12
side small hexagon = 6
BIG A= (3√3 144)/ 2 = 374.1230...
small (3√3 36)/ 2 = 93.5307...
shaded = BIG minus small
374.1230... - 93.5307... = 280.5923... squared feet
BIG SQUARE diagonal = 8
area of a square using diagonals = ½ × d2 Square units.
= ½ × 64 = 32 Square units.
small square (diagolal 4)
½ × 16 Square units. = 8 square inches
Area shaded 32-8 = 24 square inches
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
To learn more about frequency tables, please check: https://brainly.com/question/26577861
A bag contains 2 red, 8 blue, and 8 green marbles. Grant picks one at random and keeps it. Then Bailey picks a marble. What is the probability that they both select a red marble?
Answer:
the number of red marbles ÷
the number of marbles
[tex] \frac{2}{18} = \frac{1}{9} [/tex]
Therefore the probability that they both select a red marble is 1/9
Azul used a number cube with the numbers 1-6 in a simulation. He assigned 1-4 as the favorable outcome and 5-6 as the unfavorable outcome. What situation could this represent.
Answer:b
Step-by-step explanation:
Answer:
the answer is the top right if confused then it's the one with the fraction 2/3
Step-by-step explanation:
i got it right on i ready quiz.
The equation of the line shown in the graph is y = ?.
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36
Ms reynolds has 5 pounds of clay for her art club. If she divides the clay into 1 third pound pieces, how many pieces will she have?
Answer:
15
Step-by-step explanation:
Total quantity of clay = 5 pound
Now, Reynolds divides the clay into 1 third pound pieces.
this means each piece of clay weighs = 1/3 pounds
Therefore, number of pieces of clay = Total weight of clay/ weight of each piece
= 5/(1/3) = 15
Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo
Answer:
In my opinion No
Step-by-step explanation:
You are only given "X" SO what is "Y"?
also need help with this one!!
At the talent show, dancers outnumber singers by a ratio of 13 to 7 If there are 52 dancers at the talent show, how many singers are at the talent show?
Answer:32
Step-by-step explanation: 52-20
Solve for m angleUVW if m angle UVX = 40° and m angle XVW = 68°
Answer:
The measure of the obtuse angle marked UVW is 108
Step-by-step explanation:
Here, we want to get the measure of the angle marked UVW
To get this, we refer to the given diagram
From the diagram;
UVW = UVX + XVW
UVW = 68 + 40
UVW = 108 degrees
Una fabrica produce caravanas las envasa en bolsitas de un par cada dos bolsitas usa una cajita azul cada do cajitas azules usa una naranja cada dos cajas naranjas usa una verde si fabrica 500 caravanas cuantas bolsitas cuantas cajitas azuñes cuantas cajas naranjas y cuantas cajas verdes usa
Answer:
Se utilizan 31 cajas verdes y 62 cajas naranjas, 125 cajas azules y 250 bolsas
Step-by-step explanation:
La pregunta es un problema verbal
Los parámetros dados son;
El número de caravanas por bolsa = 2 caravanas
El número de bolsas en una caja azul = 2 bolsas
El número de cajas azules en una caja naranja = 2 cajas azules
El número de cajas naranjas en una caja verde = 2 cajas naranjas
Por lo tanto;
El número de caravanas en una caja azul = 2 bolsas = 2 pares = 4 caravanas
El número de caravanas en una caja naranja = 2 × 4 caravanas = 8 caravanas
El número de caravanas en una caja verde = 2 × 8 caravanas = 16 caravanas
Por tanto, si la fábrica fabrica 500 caravanas, tenemos;
El número de casillas verdes utilizadas = 500/16 = 31,25 = 31 casillas verdes
El número de cajas naranjas utilizadas = 500/8 = 62 cajas naranjas
El número de cajas azules utilizadas = 500/4 = 125 cajas azules
El número de bolsas utilizadas = 500/2 = 250 bolsas
SOMEONE HELP ME NOW PLEASE NO LINKY LINKS
Answer:
C
Step-by-step explanation:
B +2.01 =5.5 what dose b equal
Answer:
3.49
Step-by-step explanation:
B = 5.5-2.01 = 3.49
have a great day!
Answer:
b=3.49
Step-by-step explanation:
5.5 - 2.01 = 3.49
2.01 + 3.49 = 3.49
can I have brainllest
Find the perimeter of the figure. (Will mark brainliest of correct!)
Answer:
24 inches.
Step-by-step explanation:
Add em' all up cuz.
Answer:
It should be 30 I think
Step-by-step explanation:
I first found the perimeter of the rectangle and then the triangle and added them both together
Bernadette has recently opened her own soup store. It costs her $360 a month plus $2.50 for each bowl of soup she makes. Bernadette charges $5.50 for each bowl of soup. What's the minimum number of bowls Bernadette would need to sell to make a profit each month? Explain.
Answer: I don't know if it is multiplication or addition but here are the answers.
Step-by-step explanation:
$360 * $2.50 * $5.50= 4950
$360 + $ 2.50 + $5.50=368
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answer:
median
Step-by-step explanation:
There are 15 numbers so we have to find the median that is in the center.
median = 9
What theorem shows ACE = BCD
Answer:
SAS
Step-by-step explanation:
in two triangles
if EC=DC
AC =BC
M<ECA =M<DCB "V.O.A"
THEN triangle ACE = triangle BCD
Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11
Answer:
x + 7 > 18
Step-by-step explanation:
Answer:
The answer should be B
Step-by-step explanation:
Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.
Complete the equations by entering the whole numbers that are equal to the fractions.
8
8
=
3
3
=
30
10
=
9
3
=
6
3
=
12
6
=
Answer:
Not sure if these are the fractions, tell me if they are wrong.
8/8 = 1
3/3 = 1
30/10 = 3
9/3 = 3
PLZZZZ PLZZZ I HAVE 9 MINUTES LEFT PLZZZ ANSWER THIS PLZZZ IM BEGGING PLZZZ NO SCAMS NO NUN PLZZZ JUST ANSWER
Answer:
AC=19
AB=8.5
<BAD=65
<ABC=115
<BAE=35
Can someone help me with this one too please
Answer:
1) f - 2
2) 45 + b
3) s - 82
4) 52c
5) t/5
Answer:
1) f-2
2) 45+b
3) s-82
4)52c
5)t/5
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
PLEASE PLEASE HELP WITH THIS
Answer:
θ = 76°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°, then
sin14° = cos(90 - 14)° = cos76°
That is θ = 76°
Answer:
in radians o= 0.13716675
Step-by-step explanation:
cos(0)=0.9906074
O= arccos(0.9906074)
O=0.13716675
Find the lower quartile (Q1).
55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85
Answer:
Hi! The answer to your question is 65
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka