can someone solve this, please?
[tex]3sin ^{2} (2x) = 1[/tex]
when x€[0,2pi]

Answers

Answer 1

9514 1404 393

Answer:

x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}

Step-by-step explanation:

Divide by the coefficient of the sine function, take the root, then use the arcsine function to find the angles.

[tex]3\sin^2(2x)=1\\\\\sin^2(2x)=\dfrac{1}{3}\\\\ \sin(2x)=\pm\sqrt{\dfrac{1}{3}}\\\\2x=\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi\\\\x=\dfrac{\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi}{2}[/tex]

The numerical values are approximately ...

x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}

The graph shows the zeros of 3sin²(2x) -1.

$Can Someone Solve This, Please? [tex]3sin ^{2} (2x) = 1[/tex]when X[0,2pi]$

Related Questions

giving brainiest for correct answer !!

Answers

Answer: A and B plz mark me brainliest

Step-by-step explanation:

A sports reporter for the local paper keeps stats at little league baseball games.
Among them, he tracked the number of pitches thrown at all of Fulton County Little League's games and Randolph County Little League's games.
The box-and-whisker plots show the results.

Answers

Answer:

The fulton county has fewer pitches.

Step-by-step explanation:

Please do not send links you will be reported and removed. What is this answer in feet please

Answers

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON

Answers

Answer:

uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.

Step-by-step explanation:

The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.

The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two

Answer:

Step-by-step explanation:

HELP QUICK

In the diagram of AADC below, EB|| DC, AE=7, ED=35, and AB=10. What is the
length of AC?
A
N
10
E
B
35

Answers

Answer:

Step-by-step explanation:

7/10=35/x

7x=350

x=50

AC=50+10=60

Jessie bought 12 cases of soda for the party. If his total bill was $41.40, how much did each case cost?

Answers

Answer:

B. $3.45

Step-by-step explanation:

Number of cases of soda bought = 12

Total bill payed = $41.40

Let x represent the cost of 1 case.

Thus:

12x = $41.40

Divide both sides by 12

12x/12 = 41.40/12

x = 3.45

Cost of each case = x = $3.45

A construction company pours concrete at a constant rate to make a sidewalk. There are 1,054 cubic feet of concrete available, and 6.2 cubic feet of concrete is poured each minute. The equation below shows the total volume, in cubic feet, of concrete remaining minutes after the construction company begins to pour the concrete.

Answers

Answer:

Step-by-step explanation:picture of problem please

please help, thanks if you do. (WILL MARK)

Answers

Answer: n-6p^2 + 2np

Hope this helps!

Step-by-step explanation:

−6p2+n+2np. Explanation: Remove the brackets first. The minus sign in front of the second bracket will change all of its signs.

I’m confused on this one I have one more

Answers

Answer:

because the diagonals are congruent, you're going to set them equal.

2x+13=4x-1

13=2x-1

14= 2x

x=7

it's that easy

They r gonna be equal to the other line A and C

NEED HELP ASAP 30 POINTS
Determine the equation of the graph, and select the correct answer below. (5 points)
110
7
(-2,-4)
-15
Courtesy of Texas Instruments
O y = -(x - 2)2 - 4
O y = (x + 2)2 + 4
y = (x - 2)2 - 4
O y = -(x + 2)2 - 4

Answers

Answer:

your answer is correct

Step-by-step explanation:

X can't be negative so the only answer for the question is y=(x-2)*-4

Christopher works as a translator of
literature. He gets paid different
amounts for translating articles and for
translating book chapters. In January,
he was paid $340 for translating 3 book
chapters and 2 articles. In February,
he was paid $380 for translating 1 book
chapter and 6 articles. How much is
Christopher paid, in dollars, to translate
each article?

Answers

Answer:

50$

Each book is equal to 80 now here's the math

50x2=100 340-100=240/3=80

380-80=300/6=50

This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man

Write an equation of the line that passes through a pair of points:
(-5, - 2), (4, 5)

Answers

Answer (assuming it can be written in slope-intercept form):

[tex]y = \frac{7}{9} x+\frac{17}{9}[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(5)-(-2)}{(4)-(-5)} \\m = \frac{5+2}{4+5} \\m = \frac{7}{9}[/tex]

So, the slope is [tex]\frac{7}{9}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{7}{9}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form ([tex]y = mx + b[/tex] format) and find the following answer:

[tex]y-(5) = \frac{7}{9} (x-(4))\\y-5 = \frac{7}{9} (x-4)\\y -5=\frac{7}{9} x-\frac{28}{9}\\y = \frac{7}{9} x-\frac{28}{9} +\frac{45}{9}\\y = \frac{7}{9} x+\frac{17}{9}[/tex]

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 53 bolts. The sample mean bolt length was 11.08 centimeters. The population standard deviation is known to be 0.21 centimeters.
What is the test statistic?
What is the -value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of 0.01?

Answers

Using the t-distribution, it is found that:

The test statistic is t = 2.77.The p-value is of 0.0039.Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 11 cm, that is:

[tex]H_0: \mu = 11[/tex]

At the alternative hypotheses, it is tested if the mean is greater than 11 cm, hence:

[tex]H_1: \mu > 11[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

For this problem, the values of the parameters are given as follows:

[tex]\overline{x} = 11.08, \mu = 11, s = 0.21, n = 53[/tex]

Hence the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{11.08 - 11}{\frac{0.21}{\sqrt{53}}}[/tex]

t = 2.77.

Using a calculator, with t = 2.77 and 53 - 1 = 52 df, the p-value is of 0.0039.

Since the p-value is less than 0.01, sufficient evidence exists that the length of bolts is actually greater than the mean value at a significance level of 0.01.

More can be learned about the t-distribution at https://brainly.com/question/13873630

#SPJ1

Please anyone help me on this

Answers

Answer:

y=-1/4x+21/4

Step-by-step explanation:

Slope=-2/8=-1/4

y=-1/4x+b

4=-1/4(5)+b

4=-5/4+b

5.25=b

21/4=b

Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in

Answers

Answer:

Step-by-step explanation:

because yea

Rewrite as a simplified fraction 3.16 = ?

Answers

Answer: 3 4/25

Step-by-step explanation:

79/25 simplified= 3 4/25

Answer:

3 4/25

How:

3.16 as a fraction = 79/25

79/25 simplified = 3 4/25

Written as shown in the attached image

if the sides of a triangle are 3x, x-4, and x+2, what is the perimeter of the triangle in terms of x?

Answers

Answer:

P = 5x - 2

Step-by-step explanation:

Givens

P=s1 + s2 + s3

s1 = 3xs2 = x - 4s3 = x + 2

Solution

P = 3x + x - 4 + x + 2P = 5x - 2

Answer:

Step-by-step explanation:

The perimeter is just the sum of all side lengths so

P=3x+(x-4)+(x+2)

P=3x+x-4+x+2

P=5x-2

plot the flowing points on the number line without measuring.

Answers

Answer:

1/4, 3/5, 8/10

Step-by-step explanation:

3/5 is greater than 1/4

(2/4 is equal to 2.5/5---that should give you a visual picture why)

8/10 is greater than 3/5

3/5 multipled by 2 is 6/10

so, 6/10<8/10

Answer:

1/4 then 3/5 then 8/10

Step-by-step explanation:

i did this and got a 100%

what is the measure of arc EDC?

Answers

Answer:

139°

Step-by-step explanation:

FG must equal 16. We have to assum DG is a straight line.

2x+90+74+82+16=360

2x=98

x=49 (DAC and CAB)

90+49=139

Each student needs 2/5 of cup of play dough to build a house how many cups of Play-Doh and waiting for nine students?

Answers

Answer: 3 3/5 cups (decimal form 3.6 cups)

Steps:
2/5 * 9 = 18/5
18/5 = 3 3/5

The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y ≤ 10
2x − 4y < 8

a. A, C, D, K
b. E, F, G, J
c. A, C, D, H, K
d. E, F, G, H, J

Answers

Answer:Correct answer's :A,C,D,K

because H∉ x-2y<4.

Step-by-step explanation:

it’s a which is a c d k i hope this helps

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?

Answers

Answer:5 * (1/2 * 6 * 14)= x

Step-by-step explanation: :D

There are 6 pretzel sticks. 5 friends want to share them evenly. How much would each friend get?
oShow your answer two different ways.
Use your draw tool.

Answers

Well, there is one for you, the. there is your five friends which both recieve one. if you don't want to give one to yourself and just ur friends you divide 6 and 5 they all would get 1.2

Graph the line x = 3.

Answers

Answer: this my graph

Step-by-step explanation:

To graph x = 3, draw a straight line starting at (3,0). The reason why it is a straight line is no matter the y value is ((3, 7) (3, 8) etc) x will always be three.

What is the answer for 5 × (-2w - 4)

Answers

Answer: -10w-20

Step-by-step explanation:

Because the number is in front of the bracket you have to times everything inside the bracket by the number on the outside.

5x-2w= -10w (you would basically do 5x-2 which is -10 then put the w on the end of it).

5x-4= -20

Then put it together so -10w-20

help, please and than

Answers

Answer:

[tex]3\frac{11}{18}[/tex]

Step-by-step explanation:

a man gets $312 for working 48 hours a week. how much does he get when he works 36 hours a week?

Answers

Answer:

$234

Step-by-step explanation:

Create a proportion where x is the amount he gets working 36 hours

[tex]\frac{312}{48}[/tex] = [tex]\frac{x}{36}[/tex]

Cross multiply and solve for x

48x = 11232

x = 234

So, when he works 36 hours a week, he will get paid $234

Answer:

assuming he is paid hourly?

312÷48= 6.50/hour

so, 6.50÷36= $234

Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD

Answers

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
aj = 2 and r= 3

Answers

Answer:

162

Step-by-step explanation:

2, 2*3, 2*3*3, 2*3*3*3, 2*3*3*3*3=162

Need it for school plz help

Answers

Answer:

I only see a black screen.

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can someone solve this, please? [tex]3sin ^{2} (2x) = 1[/tex]when x€[0,2pi]​​

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can someone solve this, please?
[tex]3sin ^{2} (2x) = 1[/tex]
when x€[0,2pi]