What are all the solutions to the equation sin 2x = 2sin x in the interval [0, 2π)?
{π}
{0, π}
{pi over 2}
{pi over 2, 3 times pi over 2}

Answers

Answer 1

[tex]sin(2x) = 2sin(x) \\ 2sin(x)cos(x) = 2sin(x) \\ sin(x)cos(x) = sin(x) \\ sin(x)cos(x) - sin(x) = 0 \\ \sin(x) (cosx - 1) = 0 \\ \sin(x) = 0 \\ x = \pi \: or \: x = 0 \\ cos(x) = 1 \\ x = 0 \: or \: x = \pi \\ \\ s[/tex]

[tex]s = > {0 < = > \pi}[/tex]


Related Questions

there are c cyclist in a cycle race 3/4 of the cyclist finish the race how many cyclist did not finish give a algebraic formula

Answers

1/4

if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish

The population standard deviation for the heights of dogs, in inches is 3,7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?

Answers

Hey I hope you have a good day

Hoy do you write 75% as a fraction

Answers

Since 75% is out of 100%….
75/100
Then u simplify it
75/100 = 3/4
ANS: 3/4

Step-by-step explanation:

[tex] = \frac{75}{100} \\ [/tex]

[tex] = \frac{75 \div 5}{100 \div 5} \\ [/tex]

[tex] = \frac{15 \div 5}{20 \div 5} \\ [/tex]

[tex] = \frac{3}{4} \\ [/tex]

Can any math experts please help me out with this? Thank you,

Answers

Answer:

13) x = 19

14) x = 12.4

Step-by-step explanation:

So, for 13, we know that the whole thing is 90 degrees, a right angle.

So, (4x - 17) + 31 = 90

Now, we'll subtract 31 from 90 to figure out the other angle.

4x - 17 = 59

Now, add seventeen to both sides to get 4x alone...

4x = 76

Divide each by four!

x = 19

Now, to check, we plug this x value into our first equation:

(4(19) - 17) + 31 = 90

(76 - 17) + 31 = 90

(59) + 31 = 90

90 = 90 :: true!

________________________________________

For 14, we know that the total must be 180, because it's a straight angle.

So, (5x + 22) + 96 = 180  
Again, subtract the known angle from each side:

5x + 22 = 84

Subtract 22 from each side to get the exponent by itself...

5x = 62

Divide each side by 5:

x = 12.4

Now, plug it in to check.....

(5*12.4) + 22 + 96 = 180

62 + 22 + 96 = 180

84 + 96 = 180

180 = 180 :: true!

How would I solve I need to know Asap and what is the answer

Answers

Answer:

All of them are true.

Step-by-step explanation:

The symbol ≅  is used to show congruence between two shapes.

Congruency means that the shapes have the same shape and size.

This means that the two shapes are the same.

This means that all sides are going to be the same, so the first two statements are true.

This also means that the angles are the same, so the last two statements are also true.

mark brainliest please!

Answer:

1 and 3 are correct.

Step-by-step explanation:

You can just look at the order of the letters in the triangle congruence statement and see if they correspond with the answer choices.

For example... OC is congruent to JA because for both segments, it's the first letter, then the second letter from the beginning triangle congruence statement.

8 ≤ 2m Find variable of m

Please show your work

Answers

Answer:

m ≥ 4

Step-by-step explanation:

8 ≤ 2m

8/2 ≤ m

4 ≤ m

m ≥ 4

find the area for the shaded region

Answers

Answer:

610m^2 because that's math

Step-by-step explanation:

42x25 - 20x22

Step-by-step explanation:

S SOLUTION:

THE VOLUME OF CUBIOD IS 25 X 22 X 42=23100. M 3

VOLUME OF CUBIOD ; LENGTH X WIDTH X HEIGHT.

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this answer is correct

brain less this answer

Molly's alarm clock fell to the floor and the glass face was broken. Molly measured the glass face so that she could order a new one.

The radius of the circle-shaped glass face is 8 centimeters. What is the approximate area of the glass face? (Use 3.14 for .)

Answers

Answer:

200.96 cm^2

Step-by-step explanation:

πr^2 is the formula for the area of a circle

π*8^2

64π

substitute pi with 3.14

64 * 3.14 = 200.96

200.96

mark brainliest please!

Simplify.........................
[tex] \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex]

Answers

Answer:

316.03

Step-by-step explanation:

[tex] \hookrightarrow \sf \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex]

[tex]\hookrightarrow \sf 7.07 \times 4.47 \times 10[/tex]

[tex]\hookrightarrow \sf 316.03[/tex]

Therefore, [tex] \rm \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex] ≈ 316.03

surface area of a rectangular prism that has 12 5 3

Answers

Answer:

The surface area of a rectangular prism calculator gives us the answer: A = 2*1* w+2*1*h+2*w *h = 2*8 ft 6 ft + 2*8 ft* 5 ft + 2*6 ft * 5 ft = 236 ft².

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?

4.5 < c < 12
4.5 ≤ c ≤ 12
c < 4.5 or c > 12
c ≤ 4.5 or c ≥ 12

Answers

Answer:

last one is the answer of the following question

Answer:

D

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x=18

Step-by-step explanation:

In this question we can use the Geometric mean of leg theorem

The theorem states that the hypotenuse/leg 2 = leg 2/part 2

In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.

Plugging the given values in, we get

72/x+18=x+18/x

We can then simplify it.

(x+18)^2=72x

x^2+36x+324=72x

x^2-36x+324=0

That is equal to (x-18)^2

So, x=18

find the diffrence between x+5 and 2x+3

Answers

Answer:

-x + 2

Step-by-step explanation:

collect the like terms of x and 2x . So subtract 1-2 = -1

so 1x - 2x = -1x or -x . Then just subtract 5-3 and you have your answer

2x +2y-16x+4y+20=0 solve by completing the square​

Answers

Answer

7/3

Step-by-step explanation:

Find f of x and f of y

F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14

F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6

Find the fist partial derivative

f of x = -14

f of y = 6

Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y

reduce the fraction

dy/dx = - 14/6 = - - 7/3 = 7/3

Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?​

Answers

Answer: C


Step by Step Explanation:


20¢       50¢                           Box A : Box B                Diff Box B -- Box A     2      :  1                    0.50--0.40 = $1.600.20 * 2 : 0.50                     0.104 = 1.600.40¢                                        u = 1.60                                                       ------16, 0.40¢ Coins Box A                    0.1032, 0.20¢ Coins Box A       u = 16 The answer choice is C


(1)     8


(2)     16


(3)     32


(4)     48

Answer:

find out and discuss drawbacks that campaigners should avoid in order to run a successful social media campaign against human rights violations

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

Answers

Step-by-step explanation:

[tex]4(2 - x) > - 2x - 3(4x + 1)[/tex]

[tex]8 - 4x > - 2x - 12x - 3[/tex]

[tex]8 - 4x > - 14x - 3[/tex]

[tex] - 4x + 14x > - 3 - 8[/tex]

[tex]10x > - 11[/tex]

[tex]x = - 1.1[/tex]

Answer:

[tex]x > \frac{-11}{10}[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4(2 - x) > -2x - 3(4x + 1)[/tex]

[tex](4*2)+(4 * (-x)) > -2x + (-3 * 4x) + (-3 * 1)[/tex]

[tex]8 - 4x > -2x - 12x - 3[/tex]

Step 2:  Combine like terms

[tex]8 - 4x > (-2x - 12x) - 3[/tex]

[tex]8 - 4x > -14x - 3[/tex]

Step 3:  Add 14x to both sides

[tex]8 - 4x + 14x > -14x - 3 + 14x[/tex]

[tex]8 + 10x > -3[/tex]

Step 4:  Subtract 8 from both sides

[tex]10x + 8 - 8 > -3 - 8[/tex]

[tex]10x > -11[/tex]

Step 5:  Divide both sides by 10

[tex]\frac{10x}{10} > \frac{-11}{10}[/tex]

[tex]x > \frac{-11}{10}[/tex]

Answer:  [tex]x > \frac{-11}{10}[/tex]

whats 1 added up to 1?

Answers

4 dude lol just playin 2

Please Help - Find the Volume

I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³. ​

Answers

Answer:

1982  ft^3    ( rounded)

Step-by-step explanation:

The cube bottom is   12 x 12 x 12  = 1728

The pyramid top is  1/3 ( 12*12) * sqrt 28 = 253.99

added together = ~ 1982  

( you have to use the HEIGHT of the pyramid for the volume calculation      V = 1/3 *  base area * height        height = sqrt (28)  )

Answer:

1,982 ft³

Step-by-step explanation:

Solving

Volume of rectangular prism (below)

lbh12 x 12 x 12144 x 121728 ft³

Volume of square pyramid

1/3Bh1/3 x 144 x √2848 x 5.29253.92

Total Volume : 1728 + 253.92 = 1,981.92 ft³ ≅ 1,982 ft³

Find the perimeter of the figure below

Answers

Answer:

60 ft.

Step-by-step explanation:

The missing side length would be 6 ft.

14-8=6

Add up all the sides: 14+16+6+9+8+7=60

Hence, the perimeter is 60 ft.

Hope this helps!

Heather drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would she need to drive 424 miles?

Answers

Answer:

Step-by-step explanation:

Next bit of info that we have is 424 miles. Miles go on the numerator, and gallons, which we will call "x" will go on the denominator. It should be set up like this: 265/10 = 424/x Once you cross multiply you should get 265x=4240. Divide 265 by both sides and the answer is 16 gallons.  Sorry if its wrong

30 points
A. Transform F using the rule (x, y) → (-x, y)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?

Answers

Answer:

A: You plot these points (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C:  The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Step-by-step explanation:

So our plots from the figure are: (3,4)  (3,6)  (5,6)  (7,4)

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

Question in picture below

Answers

Answer:

  f(x) = 3sin(3.1416(x +4)/7)

Step-by-step explanation:

You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.

Equation

The equation will generally be of the form ...

  f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))

Application

Here, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.

Then f(x) is ...

  f(x) = 3·sin(2π/14(x -(-4))

  f(x) = 3·sin(3.1416/7(x +4))

<95141404393>

7th Grade Math:

A library keeps track of the number of overdue items at the end of each month.

* At the end of April, there were x overdue items.

* At the end of May, the number of overdue items was 3% less than the number of overdue items at the end of April.

The expression x - 0.03x represents the number of overdue items at the end of May. Which sentence best explains how to simplify the expression that represents the number of overdue items at the end of May?

A. Combine x and 0.03x, since they are like terms, by cancelling out the x.

B. Combine c and 0.03x, since they are like terms, by subtracting 1 - 0.03 to find the new coefficient.

C. Factor out an x, since it appears in both terms, leaving 1 in the first term and 0.03x in the second term.

D. Factor out an x, since it appears in both terms, eliminating the first term and leaving 0.03 in the second term.

Answers

Answer:

(Mostly) C. Or D

Step-by-step explanation:

Because you first have to factor out the equation by factoring the x . The this will leave you with the terms. Hopefully This Helps.

It would have to be c

Mean:median:mode:range

Answers

Answer: Hi there ^^ oki so ima explain what these are/mean
So for starters this is used in math and isnt really useful but u got to do the work sadly so.
the mean is the arithmetic average of a set of given numbers.
the median is the middle in sorted numbers (after u sort the given numbers), ascending or desending, list of numbers can be more descripited of that data set than the average.
the mode is the value that appears most frequently, for example "the mode of {4,2,4,3,2,2} is 2 because it accurs 3 times, so in short words the mode is the number used the Most,
And lastly the Range is the differance between the highest and the lowest values in a set of numbers.

i hope this helps u out! ^^ ~xlXCherryColaXlx

There is a pair of parallel sides in the following shape. 9, 4, and 5. What is the area of the shape?

Answers

Answer:

28

Step-by-step explanation:

The formula for trapezoid area is [(b1+b2)/2]h where the b's are the bases and the h is the height. Plugging the values in, you get 28. Have a good day!

Mate I’ve got it! 28 is our answer.

The regular price of a sofa, in dollars, is represented by . The sale price of the sofa is 30%off the regular price. Select alltrue statements.
A. The sale price of the sofa can be represented by −0.3.
B. The sale price of the sofa can be represented by 0.7.
C. The sale price of the sofa can be represented by 0.3
D. The dollar amount of the discount for the sale price can be represented by 0.3.
E. The dollar amount of the discount for the sale price can be represented by −0.3.

Answers

Answer:

BE

Step-by-step explanation:

The sale price of the sofa is given as :

Original Price (100% - 30%)Original Price (70%)Original Price (0.7)

The dollar amount for the discount

- 30% [discount]-0.3

Can someone help me please

Answers

Answer:

7⅞

Step-by-step explanation:

NO.OF HATS TO BE MADE= 9

YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8

THEN,

TOTAL YARDS OF YARN= 9*7/8

= 63/8

Given to write answer in mixed form= 7

ThankYou

Please mark me as brainliest

Darcy pays $37.95 for a 25.3-kilometer taxi ride.

How much does Darcy pay, in dollars, per kilometer?

Answers

Answer:

1.5 per kilo

Step-by-step explanation:

Answer: That would be $1.50

Explanation: I took a test and I got it right

What is the surface area of the cylinder with height 3 yd and radius 4 yd? Round your
answer to the nearest thousandth.

Answers

A≈175.93yd²

A=2πrh+2πr2=2·π·4·3+2·π·42≈175.92919yd²

Therfore the surface area of the cylinder with height 3 yd and radius 4 yd is 175.93

The playground pictured here is having rubber flooring installed to help protect children against injuries from falls. If the cost, including installation, is $8.00 per square foot, what is the total cost of installing the surface?

Answers

Answer:

$6,672

Step-by-step explanation:

Area of Playground

Area (rectangle) + 2 x Area (semicircle)26 x 20 + 2 x 3.14 x 10² x 1/2520 + 314834 square feet

Cost

$8.00 per square feet$8 x 834$6,672

Answer:

Using π:  $6,673.27 (nearest cent)

Using π = 3.14:  $6,672

Step-by-step explanation:

Separate the figure into a rectangle and two semicircles.

Area of a rectangle = width × length

                                = 20 ft × 26 ft

                                = 520 ft²

Area of a semicircle = 1/2 π r²

                                 = 1/2 π · 10²

                                 = 50π ft²

⇒ Total area = area of rectangle + (2 × area of semicircle)

                     = 520 + (2 × 50π)

                    = (520 + 100π) ft²

⇒ Total cost = area × cost

                     = (520 + 100π) × $8

                     = $6,673.27 (nearest cent)

**using π = 3.14**

Total cost = (520 + 100 × 3.14) × $8 = $6,672

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