give the exact form and decimal form of the equation

8=9sin(6x)

simplify the equation into the form sin(ax)=b and use the inverse sin to solve for x

Answers

Answer 1

Answer:

Exact form: [tex]\sin{(6x)} = \frac{8}{9}[/tex]

Decimal form: [tex]\sin{(6x)} = 0.8889[/tex]

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

[tex]8 = 9\sin{(6x)}[/tex]

Placing into the desired format, the exact format is:

[tex]\sin{(6x)} = \frac{8}{9}[/tex]

In the decimal part, we divide 8 by 9. So

[tex]\sin{(6x)} = 0.8889[/tex]

Solving for x:

We apply the inverse sine. So

[tex]\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}[/tex]

[tex]6x = 62.73[/tex]

[tex]x = \frac{62.73}{6}[/tex]

[tex]x = 10.455[/tex]

The solution for x is of 10.455º


Related Questions

what is the denominator for 3/8 ?

Answers

Answer:

Here we will simplify 3/8 to its simplest form and convert it to a mixed number if necessary. In the fraction 3/8, 3 is the numerator and 8 is the denominator.

Step-by-step explanation:

The denominator is (8) plz give me brainliest

Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?

$52.00
$14.50
$40.50
$48.50​

Answers

Answer: The answer is $48.50

Answer: The answer is $52.00.

Step-by-step explanation:

Step 1: Find the Unit Rate

$32.50 divided by 5 = $6.50

Step 2: Find the Price for Babysitting for 8 Hours

$6.50 x 8 (hours) = $52.00

I hope this helps!

Which problem can be solved using this equation: 9x + 14 = 100

Answers

Answer:

James has 9x cookies he needs 100 he buys 14 more what’s the value of x?

Step-by-step explanation:

Jonathan put ice cream in the freezer, and the ice cream remained frozen.

Which of the following best describes this situation?

Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.

Answers

Answer:

C- Based on the data, this is an example of causation

Step-by-step explanation:

This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!

The option best describes this situation is C; Based on this data, this is an example of causation.

What is correlation?

Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.

Also, Causation refers to causing something. When one variable influences another variable.

The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.

We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.

So, The option best describes this situation is C; Based on this data, this is an example of causation.

Learn more about causation here;

https://brainly.com/question/14063719

#SPJ2

Find the general solution of
dy/dx + 2y =6​

Answers

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?

Answers

Answer:

6x+2

Step-by-step explanation:

The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.

To get the perimeter, you have to add all sides. So you’ll have 2x+3+2x+3+x-2+x-2. So assuming I have done the math correctly, the answer should be 6x+2.

246000 in scientific notation

Answers

Answer:

2.46 x 10⁵

Step-by-step explanation:

Answer:

i wouldn't know that

Step-by-step explanation:

A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder

Answers

Answer:

300π or 942.477796077 cubic feet

Step-by-step explanation:

25π*12=300π

The approximate volume of the given cylinder is 942.48 ft³.

What is the volume of the cylinder?

The volume of the cylinder is the density which signifies the amount of substance it can hold.

Mathematically,

                        V = πr²h

where, r is the radius of the cylinder

and h is the height of the cylinder.

It is given that,

Height h of the cylinder = 12 ft

Diameter d of the cylinder = 10 ft

⇒ Radius r = d/2

r = 10/2

⇒ r = 5 ft

Now, Volume of the cylinder V = πr²h

Putting the values of r and h of given cylinder. We get,

⇒ V = 3.14 × (5 ft)² × 12ft

⇒ V = 3.14 × 25 ft² × 12 ft

⇒ V = 3.14 × 300 ft³

V ≈ 942.48 ft³

The approximate volume of the given cylinder is 942.48 ft³.

More about volume of cylinder :

https://brainly.com/question/49664655

#SPJ2

A +40 =0. What is the value of A?

Answers

Answer:

-40

Step-by-step explanation:

Answer:

hope you for the answer

Step-by-step explanation:

A+40=0

A=0-40

A=-40#

Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

Given that :

Ben's speed = 3 mi/hr

One and half hours after Ben leaves = 1.5 hours

Ben's distance = 3 mi/hr * 1.5 = 4.5 miles

Amanda's speed = 5 mi/hr

Time taken before Amanda catches up:

Let time taken = x

Distance = speed * time

Ben's distance = Amanda's distance

4.5 mi + (3 * x) = 5 * x

4.5 + 3x = 5x

4.5 = 5x - 3x

4.5 = 2x

x = 4.5 / 2

x = 2.25 hours

Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes

It would take Amanda 2.25 hours to catch up with Ben

Speed is the ratio of distance to time. It is given by:

Speed = distance/time

Given that Ben covers a distance d at time t, hence:

3 = d/t

d = 3t

Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5

5 = d/(t - 1.5)

d = 5t - 7.5

Since they catch up, hence:

3t = 5t - 7.5

2t = 7.5

t = 3.75 hours

Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours

Hence it would take Amanda 2.25 hours to catch up with Ben.

Find out more at: https://brainly.com/question/22610586


What is 1/5 expressed as a percent?

Answers

1/5 is expressed 20%

Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls

Answers

Answer:a

Step-by-step explanation:all the other ones are not smart

if u think about it

U can’t dived t and I so just do the one that doesn’t do that

Other Questions
What is happening to the average kinetic energy of the molecules in a pot of water when it is heated on a stove? Explain your answer. Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben? A force of 49 Newtons is applied to a rock, which causes it to be lifted 2 meters in 5 seconds. How much power is exerted during this time?Select one:9.8 W19.6 W56.4 W98 W help giving brainliest A +40 =0. What is the value of A? What changes for jankai after her conversation with Isabel What is a major effect of scarcity in economic behavior? A.It decreases the amount of profit companies can make. B.It provides incentives for creating a command economy. C.It prevents people from getting what they want D.It increases the opportunity cost of economic decisions. chicken tenders or chicken nuggets PLZ HELP ASAPWrite an informative essay of at least 500 words on one of the topics specified in the "Directions" section: either a topic concerning sea life or a social condition or historical event of the early 1800s.All of your sources should be correctly cited, using the MLA format for in-text citations and providing a works-cited list. View the MLA Style Guide. I had just finished making a complicated piece of equipment that was to be used for a show opening in Philadelphia called "Fiorello." When the machine arrived they had trouble wiring it, so instead of going off to college that morning for an orientation, I spent several days at the theater fixing my light/sound equipment. The show received poor reviews, except for the mention by one reviewer of the "special effects," which, he wrote, were "outstanding.""On Becoming an Inventor,"J. Dean KamenRead this passage and identify the opinion Kamen expresses. How does he support his opinion I need help pleasee PLS HELP I HAVE TO TURN THIS IN IN FIVE MIIN!!Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the presidents goal? Who could become a magistrate What does the narrator think about Carolines new shirt The angle of a quadrilateral are in the ratio 4:6:3 and it's fourth angle is 100. Find the other three angles of the quadrilateral How does the office of the Presidency lend itself to the role of Crisis Manager? Find the general solution ofdy/dx + 2y =6 A Lewis structure is a two-dimensional representation of a molecule that does not necessarily show what shape that molecule would take in three dimensions. Based on the Lewis structure and your knowledge of VSEPR theory, approximate the smallest bond angle in this molecule. ..x--------y--------x .. What is 1/5 expressed as a percent? What was the ruling in Gibbons v. Ogden?