Find the length of the arc in terms of pi A 144° 10 AB = [?]​

Find The Length Of The Arc In Terms Of Pi A 144 10 AB = [?]

Answers

Answer 1

Answer:

arc AB = 144°/360° x 2π x 10

= 2/5 × 20π = 8π


Related Questions

a number is one more than twice another number. if the sum of the two numbers is -35, what are the two numbers

Answers

Answer:

(2x+1) +x = -35

3x= -36

x= -12

Step-by-step explanation:

The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)

Answers

Answer:

(0, 1):  Answer D

Step-by-step explanation:

The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1).  Note that the x-coordinates of two of these are both 8.  The remaining x-coordinate of the fourth vertex is 0.  Since the figure is a rectangle, there are two sets of parallel sides.  If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0.  This side is a vertical line segment.  The fourth and last vertex is at the intersection of x = 0 and y = 1;  (0, 1):  Answer D.

show me an example of fibonacci sequence

Answers

Answer:

See Below

Step-by-step explanation:

The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...

The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.

Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)

*Disclaimer: I do not own any of the images

There are______
Pairs of integers satisfying a÷b = -2​

Answers

Answer:

There are only 1  

Pairs of integers satisfying a÷b = -2​

Step-by-step explanation:

Answer:

[tex]all \: positive \: integers \: in cluding \: 1[/tex]

so I dont really know how many

Step-by-step explanation:

eg

[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]

they are all equal to negative 2

1st Coordinate Point: (1.4)
2nd Coordinate Point: ( 6 , 6)
(X,Y,) =
(X,Y)=
M = (Y-Y.) =(X-X)

Answers

Yea thats the coordinate plane good job


What is the sum of the rational expressions below?
15/7x+12/7x

Answers

Answer:

27 / (7x)

Step-by-step explanation:

Since the denominators are the same, we can add the numerators

15         12

----- + ---------

7x            7x

27

----

7x

A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira?​

Answers

Answer:

4582.4

Step-by-step explanation:

Which choices are equivalent to the fraction below? Check all that apply.

Answers

Answer:

Step-by-step explanation:

It's A and B happy learning

I will make you brainlist

Answers

Answer:

for what? do you need a question answered?

given the number line which inequality has the solution shown below

0.4x + 7 < 1
0.5x + 6 > 3
0.3x + 8 < 3
0.2x + 5 > 2​

Answers

Answer:

D

Step-by-step explanation:

When you simplify the expression you start by subtracting 5 from both sides. This gives you 0.2x > -3. Then to isolate "x" you divide both sides by 0.2. This gives you x > -15, which is shown in the number line.

100 POINTS IF YOU GUESS RIGHT PLEASE HELP

Answers

Answer:

5 and 3

Step-by-step explanation:

Let the numbers be x and y.

We have:

x + y = 8x - y = 2

Sum the two and find x:

2x = 10x = 5

Find y:

y = 5 - 2y = 3

Let the numbers be a and b

a+b=8a-b=2

Add both

2a=10a=5

Put in first one

5+b=8b=3

A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24. Find the car’s original value.

Answers

Given :

A new car depreciates each year by 2.8%. When the car is 8 years old, it has a value of $42,547.24.

To Find :

The car’s original value.

Solution :

Formula of car depreciation is :

[tex]A= P( 1- \dfrac{R}{100})^n\\\\42547.24 = P( 1 - \dfrac{2.8}{100})^8\\\\42547.24 = P\times 0.8\\\\P = \dfrac{42547.24}{0.8}\\\\P = \$53184.05[/tex]

Hence, this is the required solution.

Jane and her friend Maria both invest in the stock market. The probability that Jane makes money in a given week is .6. The probability that Jane and Maria both make money in a given week is .48. What is the probability that Maria makes money in a given week if Jane also makes money in that same week

Answers

Answer:

.8

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the probability that Jane makes money in a given week is .6 and  the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...

Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then

p(j) = .6 and

p(j) * p(m) = .48

.6 * p(m) = .48

p(m) = .48/.6

= .8

Use the table, which shows the number of pounds of skim milk, y , consumed per
person in the United States in year x. Let x represent the number of years since
1980.

a. Use the model y = 2x + 23 to estimate the number of pounds
consumed in 1994. Is this linear interpolation or linear
extrapolation?

b. Use the model y = 2x + 23 to estimate the number of pounds consumed in
1999. Is this linear interpolation or linear extrapolation?
x y
1980 26.9
1985 27.4
1990 42.8
1992 46.2
1995 53.9
1996 55.7

Answers

Answer:

Step-by-step explanation:

the formula doesn't work for the answers shown,    

y = 2x +23 for 1980 should be 23  not 26.9

something is missing in your question

The miles driven in a car going 65

Answers

Answer:

We need more info

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You have to add more context to your question.

calculate the interest paid when 4920 is invested at 13% p.a simple interest for eight years​

Answers

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

The formula for simple interest:

I = P*r*t

I = interest

P = principle or amount invested

r = interest rate per period (period is a year)

t = number of periods

P = 4920

r = .13

t = 8

if you have questions, send a comment

Required solution :

Here we have been provided with the principal , rate of interest and time period for which the sum of rupees is invested.

Principal (P) = Rs.4920Rate (r) = 13% Time (T) = 8 years

Now here we know that simple Interest is calculated by the formula,

[tex]\bf{\boxed{\bf{S.I.\: = \: \dfrac{P \times R \times T}{100}}}} \: \red\bigstar[/tex]

Here in this formula,

P is PrincipalR is rate of interestT is time

Putting there values in the formula,

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{4920 \times 13 \times 8}{100} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 8}{10} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times \cancel{8}}{ \cancel{10}} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 13 \times 4}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{492 \times 52}{ 5} }[/tex]

[tex]\longrightarrow \: \sf{S.I. \: = \: \dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \sf{S.I. \: = \: \cancel\dfrac{25584}{ 5} }[/tex]

[tex] \longrightarrow \: \orange{\boxed{\bf{S.I. \: = \: 5116.8}}}[/tex]

[tex]\underline{\bf{Henceforth, \: interest \: paid \: is \: of \: Rs.5116.8}}[/tex]

Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.

Answers

Answer:

Step-by-step explanation:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

Answers

Answer:

a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].

b) The sample proportion is 0.6710.

Step-by-step explanation:

Question a:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

At the null hypothesis, we test if the proportion is two-thirds or less, that is:

[tex]H_0: p \leq \frac{2}{3}[/tex]

At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:

[tex]H_1: p > \frac{2}{3}[/tex]

b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

359 out of 535 is 359/535 = 0.6710.

The sample proportion is 0.6710.

Handrail should be mounted 34 inches minimum and 38 inches maximum above ramps. Which inequality represents the required height?

Answers

Answer:

[tex]34 \leq x \leq 38[/tex]

Step-by-step explanation:

34 inches minimum

This means that x has to be at least 34, that is:

[tex]x \geq 34[/tex]

38 inches maximum

This means that x can be at most 38, that is:

[tex]x \leq 38[/tex]

Which inequality represents the required height?

The intersection of 34 minimum and 38 maximum is:

[tex]34 \leq x \leq 38[/tex]

High school students from track teams in the state participated in a training program to improve running times. Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds. After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds. Let X represent the running time of a randomly selected student before training, and let Y represent the running time of the same student after training. Which of the following is true about the distribution of X-Y?a. The variables X and Y are independent, therefore, the meanis 34 seconds and the standard deviation is 10 seconds.b. The v ales X and Y are independent therefore, the meanis 34 seconds and the standard deviation is 50 secondsc. The variables X and Y are not independent, therefore, the standard deviation is 50 seconds and the mean cannot be determined with the information given.d. The variables and are not independent, therefore, the meanis 3 seconds and the standard deviation cannot be determined with the information givene. The variables X and Y We not independent, therefore, neither the mean nor the standard deviation can be determined with the informantion given.

Answers

Answer:

b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds

Step-by-step explanation:

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.

This means that [tex]\mu_X = 402, \sigma_X = 40[/tex]

After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.

This means that [tex]\mu_Y = 368, \sigma_Y = 30[/tex]

Which of the following is true about the distribution of X-Y?

They are independent, so:

[tex]\mu = \mu_X - \mu_Y = 402 - 368 = 34[/tex]

[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{40^2+30^2} = 50[/tex]

This means that the correct answer is given by option b.

The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds.

What is the subtraction between normal variables?

The two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Before the training, the mean running mean  time for the students to runing a mile was 402 seconds with standard deviation 40 seconds.

That is the [tex]\mu_x=402 , \sigma_x=40[/tex]

That is the after completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.

That is [tex]\mu_y=368,\sigma_y=30[/tex]

which of the following is true about the distribution of X-Y?

They are independent

Therefore we get,

[tex]\mu=\mu_x-\mu_y=402-368=34[/tex]

[tex]\sigma=\sqrt{\sigma_x^2-\sigma_y^2}\\\sigma=\sqrt{40^2-30^2}\\\sigma =50[/tex]

Therefore the option b is correct.

To learn more about the distribution visit:

https://brainly.com/question/24756209

This means that the correct answer is given by option b.

Find the missing angle measurement.

Answers

Answer:

54°

Step-by-step explanation:

54°

Answer:

the missing angle is 54

Step-by-step explanation:

so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so

180-123=57

57+69(other angle)=126

all triangle angles add up to 180 so subtract the two other angles to get your result

180-126=54

54 is your anwser

IF YOU HELP ME ILL give U 2$ AFTER UR DONE

Triangle ABC is defined by the points A(-2, 4), B(6,2), and C(1,-1). Using what you know about the distance formula, what type of triangle would ABC be?

Answers

Answer:

LOL i dont need money jus mark me brainliest :P

Step-by-step explanation:

[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]AB = \sqrt{(6--2)^2 + (2-4)^2} = \sqrt{8^2 + 2^2} = \sqrt{68}\\\\BC = \sqrt{(1-6)^2 + (-1-2)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}\\\\AC= \sqrt{(1--2)^2 + (-1-4)^2}} = \sqrt{3^2 + 5^2 } = \sqrt{34}[/tex]

[tex]Clearly, this\ satisfies \ the\ Pythagoras\ theorem : AC^2 = AB^2 + BC^2[/tex]

                                                                      [tex](\sqrt{68})^2 = (\sqrt{34} )^2 + (\sqrt{34} )^2\\\\68 = 34 + 34 \\68 = 68\\Hence\ satisfies .[/tex]

Therefore,  the triangle ABC is a right angle triangle.

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:

Answers

Answer:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Step-by-step explanation:

Given

See comment for complete part of the question

Required

Make a stem and leaf plot

We have:

[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]

[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]

[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]

Categorize the dataset according to tens

[tex]47[/tex]

[tex]52, 57, 58, 58[/tex]

[tex]61, 66, 66, 68, 68[/tex]

[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]

[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]

[tex]90, 91, 91, 92, 93, 97[/tex]

So, the stem and leaf plot is:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

An elevator has a placard stating that the maximum capacity is 1610 lb---10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1610 divided by 10 = 161 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb.​ (Assume that weights of males are normally distributed with a mean of 165 Ib and a standard deviation of 35 lb). Does this elevator appear to be​ safe?
The probability the elevator is overloaded is:____.

Answers

Answer:

The probability is "0.6406", this elevator isn't appear to be​ safe

Step-by-step explanation:

The given values are:

Mean,

[tex]\mu=165[/tex]

Standard deviation,

[tex]\sigma=35[/tex]

Number of male passengers,

[tex]n = 10[/tex]

Now,

⇒ [tex]z=\frac{161-165}{\frac{\sigma}{\sqrt{10} } }[/tex]

      [tex]=\frac{161-165}{\frac{35}{\sqrt{10} } }[/tex]

hence,

The probability will be:

= [tex]P(\bar {x}>161)[/tex]

= [tex]P(z > -0.3614)[/tex]

= [tex]0.6406[/tex]

Simplify the expression. Write your answer as a power.
(3.8^3)^4
The simplified expression is

Answers

Answer:9.06573791 x 10^6

(3.8^3)^4 = 9065737.91

Simplify 5√-32
a.-2
b.-4
c.2
d.16

Answers

20i(root)2. Would totally explain, but I’m not sure.
Exactly what he said

Explanation

He’s the smartest man alive

HELP ME WITH THIS QUESTION PLEASE!!

Answers

Answer:

give me a heart first and then ill answer

Step-by-step explanation:

You deposit $200 each year for 10 years into a sinking fund that pays 6% interest compounded annually what is the future value of your fund

Answers

Answer:

FV= $2,636.16

Step-by-step explanation:

Giving the following information:

Annual deposit (A)= $200

Number of periods (i)= 10 years

Interest rate (i)= 6%

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

FV= {200*[(1.06^10) - 1]} / 0.06

FV= $2,636.16

 

Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.

Answers

9514 1404 393

Answer:

  x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

  2x +90° = x +95°

  x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?

Answers

Answer:

1,264

Step-by-step explanation:

a = 1000(1.06)^4

a = 1,262.47696

1,264

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