On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

On The Unit Circle, An Arc Of Length 2 Subtends An Angle, . What Is The Radian Measure Of ?

Answers

Answer 1

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer 2

Answer:

2rad

Step-by-step explanation:


Related Questions

I NEED HELP LIKE ASAP PLS!!!!

Answers

Answer:

formula 3 only

Step-by-step explanation:

formula for the are of a circle is [tex]A=\pi r^{2}[/tex]

the other 2 formulas are the ones for circumference

How much money is 5 dollars, 10 dimes, and 10 pennies?

Answers

Answer:

6 dollars and 10 cents

Step-by-step explanation:

I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Determine the average percent of change from 1960–2000
1960 1970 1980 1990 2000
$0.25 $0.36 $1.19 $1.35 $1.26

show your work

Answers

Answer:

1970 +46%

1980 +232%

1990 +14%

2000 -8%

Step-by-step explanation:

A store stocked 150 cans of popcorn for a weekend sale. That Weekend, 99 of the cans sold. What percentage of cans of popcorn stocked were unsold that weekend?

Answers

Answer:

34%

Step-by-step explanation:

99/150 = 0.66

1.00 - 0.66  = 0.34

34%

Answer:There is 48% of cans

What is the length from Alaska to Chicago times 5 divided by 3?

Answers

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

Please Classify ∠1 and ∠2 using all names that apply

Answers

Answer:

if the sum of the two angles is 90°,then they are said to be complementary angles.

Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6

Answers

Answer:

4.5 is the mean/average

Step-by-step explanation:

3+1+5+4+8+6=27

27 divided by 6 = 4.5

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Answers

Answer:

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.

This means that [tex]\mu = 32, \sigma = 7.5[/tex]

Sample of 34:

This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]

Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

This is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a pvalue of 0.121

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Help me quickly!!! I'll try to give Brainlyest

Answers

Answer:

number 12 is A for sure

1 is c hope that helps

Please help me.. I don't undersand this

Answers

Answer:

45 degrees.

Step-by-step explanation:

When two angles are next to each other along a straight line, their sum = 180 degrees.

180 - 135 = 45

Answer:

I know i may be unwanted here but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Step-by-step explanation:

Herons formula triangle is​

Answers

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 660 square feet. What is the width of the flower bed?

Answers

Answer:

6 feet

Step-by-step explanation:

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46......no serve

Answer......is 6 feet

The width of the flower bed is  6 feet.

What is the area of a rectangle?The area of any shape is the number of unit squares that fit inside it. Here "unit" refers to 1, and a unit square is a square with sides of 1 unit.So the area of a rectangle is the number of unit squares within the bounds of the rectangle.Alternatively, the space occupied around this shape is called the area of the rectangle.The area occupied by the bounding rectangle is called the rectangular area.Area can be defined as the amount of space covered by a plane of a particular shape.It is measured in "number" of square units (square centimeters, square inches, square feet, etc.).The area of a rectangle is the number of unit squares that fit in the rectangle.Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and canvases.

6 feet is the width of the flower bed.

(24+x)(16+x)=660

384+24x+16x+x²=660

x²+40x-276=0

x`= 6

x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.

To learn more about area, refer

brainly.com/question/25292087

#SPJ2

Unit 11: Volume & Surface Area Homework 3: Area of Composite Figures find the area of each figure. found to the nearest hundredth where necessary.​

Answers

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

The area of a composite shape is the sum of the areas of its individual shapes

The area of the composite shape is 215.20 square feet.

From the figures, we have the following shapes

A semicircle with a diameter of 22 ftA semicircle with a diameter of 8 ft (i.e. 30ft - 22ft)

The area (A) of a semicircle is:

[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]

So, the area of the composite shape is:

[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]

This gives

[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]

[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]

[tex]\mathbf{A = 68.5\pi}[/tex]

[tex]\mathbf{A = 215.20}[/tex]

Hence, the area of the composite shape is 215.20 square feet.

Read more about areas at:

https://brainly.com/question/16741417

Free brainlest! Just answer this....... WHAT IS BETTER PS4 OR Xbox if you get it right you can have it!

Answers

Answer:

Depends

Step-by-step explanation:

PS4 has a better gaming system and better games (Spiderman example)

But Xbox has the better controller. I think Xbox is better I prefer it but it doesn't really matter.

On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?

Answers

Answer:

on 32 and -32

Step-by-step explanation:

Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth.
a. C = 56.52 in, A = 1017.36 in2
b. C = 56.52 in, A = 254.34 in2
c. C = 113.04 in, A = 254.34 in2
d. C = 113.04 in, A = 1017.36 in2
e. None of the above are correct.

Answers

Answer: b

Step-by-step explanation:

Radius = 9 inches, Pi= 3.14

Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52

Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34

Answer:

Answer attached

Step-by-step explanation:

Sean and Hope are going bowling. For each person, a game costs $4.25. Shoe rentals are $3.00. Sean gives the clerk $20 for their admission and shoe rental. How much change should he receive? *
1 point
$12.75
$5.50
$9.75
$14.50
PLZ HELPPP ME NEED IT BY TODAYYYYYYYYYY!!!!!!!!!!!!!

Answers

It’s 12.75 u egg head

Answer:

The answer is 5.50.

Step-by-step explanation:

First, you do 4.25+3.00=7.25

Second, 20-7.25=12.75

but read the beggining again it says sean AND hope so repeat the step again.

First, you do 4.25+3.00=7.25

Second, 20-14.50=5.50

HELP ME PLEASE!!! No links

Answers

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

When building a house, the number of days required to build is inversely proportional
to with the number of workers. One house was built in 132 days by 4 workers. How
many days would it take to build a similar house with 16 workers?

Answers

Answer: 33

Step-by-step explanation:

I WILL GUVE BRAINERLEST AND A LIKE


Jack needs to replace some flooring in
his house.

Answers

Answer:

B

Step-by-step explanation:

i think

5x +60/x -15x +15/x-20​

Answers

Answer:

5x-60=x - solution,..........

Answer:

Answer:

5x +60/x -15x +15/x-20

60/x+15/x-15x+5x-20

75/x-10x-20

is your answer

combined liked terms by adding and subtracting.

Help me please its due in 20 minutes!!!!

Answers

your mom is dead bro just give it up man

how can you use the multiplicative inverse to solve division problems?
(best answer gets brainliest)

Answers

Answer:

Hello, the multiplicative inverse is just another name for reciprocal. You can use this type of method when dividing fractions like:

1/2/3/5

You use the method known as kfc, keep, flip, change like this:

1/2 x 5/3

Notice how 1/2 is kept the same, the division sign is now a multiplying sign, and 3/5 is flipped.

And then you just answer it from there and you get 5/6

Step-by-step explanation:

I hope this helped you!

Researchers investigated whether providing a fancy, foil-wrapped piece of chocolate with the dinner bill would lead to higher tips than not providing such a treat. Sixty-four dinner parties at a restaurant in Ithaca, NY were randomly assigned to receive such a piece of chocolate or not with their dinner bill. Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%. Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%. Determine a 96% confidence interval for the size of the difference in average tips between the two groups

Answers

Answer:

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.

Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.

This means that:

[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]

Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.

This means that:

[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]

Difference in average tips

The distribution has mean:

[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]

Standard deviation:

[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]

96% confidence interval

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 2.054*0.6358 = 1.31[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%

The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%

The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).

The area of a SQUARE is 22 ft2. Which of the following is the closest to
the length of each SIDE of the square?

Answers

Answer:

4.7ft

Step-by-step explanation:

Hello, the answer would be 4.7ft because 4.7^2 is closest to 22ft^2 with it being 22.09ft^2.

A farmer sells 6.5 kilograms of apples and pears at the farmer's market.
3
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

1.625 kg

Step-by-step explanation:

Hows your day i just want to know: Who are your top 3 favorite rappers? And give me your or one of your favorite songs by each one?

Answers

Answer:

um mm

Brent fayiyz

all his songs

and ummm

9 cm
4 cm
1
14 cm
5 cm

Answers

Answer:

this is D

Step-by-step explanation:

A sandbox is shaped like a regular hexagon. The side lengths are 3 ft and the apothem 3√3 ft.

What is the area of the hexagonal sandbox?
Enter your answer as a decimal to the nearest hundredth.

area = __ft²

Answers

Answer:

46.77ft^2

Step-by-step explanation:

what’s the domain of this relation?

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

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