If r = 1 and θ = 4π/3 what is the approximate arc length

Answers

Answer 1

Answer: 4.189 units

Step-by-step explanation:

AP EX

Answer 2

As per linear equation, the required approximate arc length is 4.19 units.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given,  length of the radius (r) = 1 units

The value of the given angle(θ) = 4π/3 radian.

Therefore, the approximate arc length is

= length of the radius × value of the given angle

= r × θ

= 1 × 4π/3 units

= 4π/3 units

= 4.19 units

The required approximate arc length is 4.19 units.

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Related Questions

Skye ran rlaps today at soccer practice. Nadine ran five fewer laps than Skye. If Nadine ran eight laps at practice, which of the following equations could be used to find how many laps Skye ran?
r-5= 8
r+5 = 8
r=8-5
-5r=8

Answers

Answer:

A. r - 5 = 8

Step-by-step explanation:

If Nadine ran 5 fewer laps than Skye, and Nadine ran eight laps, "r" equals 13.

When you’re multiplying or dividing same sign numbers, what will your product or quotient be?

Answers

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

The answer will be the opposite of the sign so for example -5*-5= 25

The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?

Answers

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.

x+ y= 24

3.50x + 5.00y = 97.50

Solve the system of equations. How many 10 oz. boxes were sold?

6
9
12
15

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?

Answers

660
Explanation
120x1.1=132
132x5= 660

Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?

Answers

Answer:

im pretty sure its option 3

Step-by-step explanation:

its unique

Answer:

Option 2

Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.

Which expression is equivalent to
8(3x+4w)

Answers

Answer:

24x+32w

Step-by-step explanation:

24x+32w is the answer I think

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

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

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

10 POINTS!!!! for the most meaningful message along with a Brainliest

Answers

Answer:

If you always give without thinking of receiving something, you will get more than you need later.

-lorraine9fig

Step-by-step explanation:

Yes. I used my own quote.

"Challenges are what make life interesting and overcoming them is what makes life interesting"

-Joshua J. Marine

"Don’t Let Yesterday Take Up Too Much Of Today."

-Will Rogers

“You Learn More From Failure Than From Success. Don’t Let It Stop You. Failure Builds Character.”

– Unknown

“It’s Not Whether You Get Knocked Down, It’s Whether You Get Up.”

–Vince Lombardi

“Failure Will Never Overtake Me If My Determination To Succeed Is Strong Enough.”

– Og Mandino

“We May Encounter Many Defeats But We Must Not Be Defeated.”

– Maya Angelou

“The Only Limit To Our Realization Of Tomorrow Will Be Our Doubts Of Today.”

– Franklin D. Roosevelt

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

simplify 6 + 15 x 72=

Answers

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

20 POINTS TO FIRST CORRECT ANSWER! Sorry for the bad quality!!

Answers

Answer:2=42 3=82 4=122

Step-by-step explanation:

If there is already 2, all you have to do is take away 2 from 162 and then divide by the empty spaces (in this case 4) 160/4 = 40.

Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.

How old is Marjorie?

Answers

Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.

Answers

Answer:

[tex]Terms: 3\ and\ x + 2[/tex]

[tex]Product = 3x + 6[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

[tex]Product = 3 * (x + 2)[/tex]

[tex]Product = 3 * x + 3*2[/tex]

[tex]Product = 3x + 6[/tex]

convert
27/8
41/18
41/15
and 29/12
into Mixed numbers show steps please

Answers

Answer:

Ok

Step-by-step explanation:

27/8 = 3 3/8

41/18 = 2 5/18

41/15 = 2 11/15

29/12 = 2 1/3

Evaluate the question and simplify

Answers

The answer is 11.

Step-by-step explanation:

19-25\19-15

44/4= 11

Sal used a card to make the purchase, and the full amount was immediately withdrawn from his bank account.

Jen used a card to make the purchase, and she received a bill within 15 days of the purchase. She paid $21.30 for the next 18 months until the bill was paid in full. The full payment included $58.60 in interest.

Which statement describes Sal’s purchase?
Sal used a debit card and paid a total of $383.40 for the stereo.
Sal used a debit card and paid a total of $324.80 for the stereo.
Sal used a credit card and paid a total of $383.40 for the stereo.
Sal used a credit card and paid a total of $324.80 for the stereo.

Answers

Answer:

correct answer is B hope this helps :)

Step-by-step explanation:

The statement describes Sal’s purchase

Sal used a debit card and paid a total of $324.80 for the stereo.

What is Debit card statement?

The statement includes deposits, charges, and withdrawals, as well as the period's initial and ending balances. Account holders typically scan their bank statements once a month to assist keep track of their costs and spending, as well as to look for any fraudulent charges or errors.

Sal and Jen went shopping together and bought the same vehicle stereo. Sal made the purchase with a credit card, and the full money was instantly deducted from his bank account.

Jen used a credit card to complete the purchase, and she received a statement within 15 days.

She made monthly payments of $21.30 for the next 18 months until the account was paid in full. The total payment included interest of $58.60.

Sal used a debit card and paid a total of $324.80 for the stereo," says the document that explains Sal's purchase.

Learn more about Debit card statement here:

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What is the lcm of 11 and 14

Answers

Answer:

154

Step-by-step explanation:

1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12

Answers

Answer:

-14x+12

Step-by-step explanation

f(x)=-14

how many times can 42 go into 278?

Answers

it can go around 6 times

Answer:

6.61 or 6 times

Step-by-step explanation:

278/42 = 6.61

42 goes into 278 6.61 times.

If you are estimating, 6 is correct.

If you are finding the exact answer, 6.61 is correct.

I hope this helps with your question.

Simplify: 3m + 7 + 2m

Answers

5m+7 is the answer I think
5m + 7

Add 3m and 2m together because they are both being multiplied by m.

Is point 25,20 on the line

Answers

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

For box A , find the constant proportionality .

Answers

The constant of proportionality is 11/2

Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)

Answers

u would equal 7.8 :)))))))


Help please I would really appreciate it

Answers

Answer:

Step-by-step explanation:

4x+81=13x+36

answer is 5°

factor 1/6 out of 1/6x+1/6

Answers

Answer:

1/6(1x+1)

Step-by-step explanation:

Plz help Me on this question

Answers

Answer:

what is it

Step-by-step explanation:

Answer:

Naruto

Step-by-step explanation:

Uzmaki

The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

Step 1: Gather materials and necessary information. a) You will collect information about a used car of your choice and a loan. • Search for a used car you think you would like to buy someday using an Internet search engine for “used cars for sale.” The car cannot be more than $15,000. o Save a picture of the car. o Record the price, mileage, year, make, model, and location of where to buy the car. • Search for loan options with a bank and a credit union of your choice. For both options find. o APR o Restrictions on the loan options o Additional fees o Finance charges o Repayment periods b) Be sure to keep a list of your references so you can cite them later.

Answers

Answer:

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Step-by-step explanation:

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