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

Solve: 64-3x-3 .64+22=38

Answers

4.0/5

136

The answer is x = -8/9.

Hope you have a good rest of your day. :)

Answer:

B. [tex]x=-\frac{8}{9}[/tex]

Step-by-step explanation:

edge 2021

:) Good luck, loves!

hi good day plss help me plssssssssss i need yoyre help now plss​

Answers

Answer:

6.c 7.c 8. b 9. a 10. a

Step-by-step explanation:

6=c as 39.10-19.56

7. 89.2-78.6

8. 8.03-5.1

9. 40.98-15.6

10.55.6-47.5

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

What is surface area of this? Click image

Answers

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?

Answers

She spends $41.85 total

Answer:

you have to do the sales tax, times the price $3.10

then you add the $3.10 to the original price which is $41.85

Step-by-step explanation:

Artie ate 1/5 of a box of cereal last week and 1/5 of the box more this week. How much of Arties box of cereal is left?​

Answers

There is 3/5 of the box of cereal left

Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet​

Answers

Jayden purchased 2,600 square feet

Answer:

4,300 square feet

Step-by-step explanation:

First, calculate the area of Jayden's front yard.

50 feet × 80 feet = 4,000 square feet

Next, find the area of half of Jayden's back yard.

1/2(20 feet × 30 feet) = 300 square feet

Last, add the two areas together.

4,000 feet + 300 feet = 4,300 square feet

So, Jayden needs to purchase 4,300 square feet of sod

​In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is

Answers

Answer:

33.69[tex]\pi[/tex] or 105.83

Step-by-step explanation:

Volume for a cylinder is

V= [tex]\pi r^{2}h[/tex]

we need to find the radius from the base

B = 2[tex]\pi[/tex]r

B= 3.5/2 = 1.75

V =[tex]\pi 1.75^{2}*11[/tex]

V =  33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not

a school has 2 computer labs each lab has 30 computer

Answers

Answer:

the answer is 60 because 2 times 30 is 60

Step-by-step explanation:

Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?

Answers

Olivia ran 10.6 kilometers

Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?

Answers

Step-by-step explanation:

3/4+3/8

1.125-5/8

= 1/2 of juice

I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.

Answers

Idaho dhhebshd is phoebe the best way for me itueituei I will get it a

Need help with these math problems

Answers

Answer:

1. 34 sq.m.

2. 21 sq.m

3. A square pyramid has 1 square base and 4 triangular faces.

a. 36 square centimeters

b. 48 square centimeters

c. 84 square centimeters

4. a. 248 square centimeters

b. 1240 square centimeters

5. 140.8 square centimeters

Can please someone help with this two problems?

Answers

Answer:

A and C

Step-by-step explanation:

20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.

21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.

I hope this helps :)

PLEASE HELP ASAP
trigonometry

Answers

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

The number of minutes, m, of exercise, and the number of calories, c, burned during exercise. What is the independent variable?

Answers

Answer:

number of minutes

Step-by-step explanation:

Find x.
2x + 40
3x
4x
X + 50
x = [?]
y

Answers

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

PLEASE HELP ME!?!
(2 questions)

Answers

photo math is the anwser :) just scan the question (top part only the question not the anwsers) and it will give u the anwsers u welcome :)
For the first one x = -5
Second one is x = 24

Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls

Answers

First question seems incomplete :

Answer:

40 ways

Step-by-step explanation:

Question B:

Number of boys = 6

Number of girls = 4

Number of people in committee = 3

Number of ways of selecting committee with atleast 2 girls :

We either have :

(2 girls 1 boy) or (3girls 0 boy)

(4C2 * 6C1) + (4C3 * 6C0)

nCr = n! ÷ (n-r)!r!

4C2 = 4! ÷ 2!2! = 6

6C1 = 6! ÷ 5!1! = 6

4C3 = 4! ÷ 1!3! = 4

6C0 = 6! ÷ 6!0! = 1

(6 * 6) + (4 * 1)

36 + 4

= 40 ways

Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answers

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

8. Which of these would best measure the WEIGHT of a ship?
A. Ounces
B. Pounds
C. Tons
D. Kilograms

Answers

Answer: Tons

Step-by-step explanation: A ship is SUPER heavy.

Frank bought 3.86 lbs of cherry and lime jelly beans for his birthday party. If 1.56 lbs were cherry flavor, how many pounds were lime flavor?

Answers

Answer:

2.3 lbs.

Step-by-step explanation:

Total=3.86

Cherry=1.56

3.86-1.56= 2.3

Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a

Answers

We want to solve for a
-a + 7 = 2a - 8
we will add 8 to both sides and simply to
-a + 15 = 2a
We will then add a to both sides and simply to
15 = 3a
We then divide by 3 on both sides to get
a=5

Answer this ASAP the last question that due 5 minutes

Answers

Answer:

C

Step-by-step explanation:

If you graph the points, count boxes from the orgin (0,0).

You will have to go 3 to the right (on x), and up 6 (on y).

i think it is C, sorry if i’m wrong aahh

Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?

Answers

The volume would be 768 cm^3

giving brainliest !! *easy*

Answers

23pi/12 radians is equal to 345°


The design for a small counter top
is shown. What is the perimeter and
area of the counter top?

Answers

Answer:

P = 22 ft

A = 18 ft²

See picture

Step-by-step explanation:

The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).

Add all the sides together for the perimeter.

Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.

Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.

Answers

Answer:

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Step-by-step explanation:

Probability of a seed germinating:

85% of 40%(from company A)

75% of 60%(from company B)

Then

[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?

Answers

Answer:

the area of the floor that is not carpeted 19 m squared

Step-by-step explanation:

7x5 =35  m squared = area of the floor

 4x4 = 16 squared =(area of the carpeted floor)

35-16 = 19

Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time

Please note that this is directly proportional applications and the formula is output unit/input unit times input unit

Answers

Answer:

100 days

Step-by-step explanation:

3 min loss ⇔ 5 days60 min loss ⇔ x days

Cross multiply and solve for x:

3x = 5*603x = 300x = 300/3x = 100 days
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