If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?

If A Circle Has A Radius Of 16, And An Arc Length Of 12, What Is The Angle Measure Of The Central Angle

Answers

Answer 1

Answer:

135°

Step-by-step explanation:

The arc length is calculated as

EF = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{?}{360}[/tex]

Given EF = 12π , then

2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )

16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )

16 ? = 2160 ( divide both sides by 16 )

? = 135°


Related Questions

Need help fast pleasee??

Answers

Answer:

Option 3.)    f(-3) = g(-3), since that x-value of the point of intersection

Hope this helps!

Emma made 25 cookies. She gave cookies to her mom. Then, she split the remaining cookies evenly among 4 friends. Which expressions represent this scenario? Select all that apply. A (25+c)÷4 B 25÷4−c C 25−c4 D 25−4c E 25−c÷4 F (25−c)÷4 PLEASE HURRY

Answers

Answer: F. (25 − c) ÷ 4

Step-by-step explanation:

Emma had 25 cookies and gave c cookies to her mom and then divided the rest evenly amongst her 4 friends.

The cookies she shared to her friends are the 25 cookies minus the number of cookies she gave her mom which is:

= 25 - c

This (25 - c) was divided by 4 with each portion given to a friend so the total each friend got was:

= (25 - c) / 4

Hunter did not want to spend more than 150$ for a flight from Reno to Los Angeles. Write the inequality that models this situation and determine the first two possible solutions

Answers

Answer:

[tex](a)\ x < 150[/tex]

[tex](b)\ x = 149; x = 148[/tex]

Step-by-step explanation:

Given

[tex]Amount = 150[/tex] --- not more than

[tex]x \to[/tex] spending

Solving (a): Represent as an inequality

Not more than means <

So, the inequality is:

[tex]Spending < Amount[/tex]

[tex]x < 150[/tex]

Solving (b): The first two possible solutions

These are the numbers closest to 150 i.e. 149 and 148

Hence, [tex]x = 149; x = 148[/tex]

Jordan is baking brownies and chooses to use a round pan. The diameter of the pan is 12 inches. What is the area of the pan? Round to the nearest tenth.

Answers

You need to show us the shape of pan

PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

Student C

Step-by-step explanation:

The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.

In the diagram, three currents x, y and z are flowing in a circuit. The current y is 1 amp less than twice the current x. The current z is 2 ampere more than the current y. The total current x, y and z is 15 amperes. How many amperes is current x?

Answers

Answer:

3 A

Step-by-step explanation:

Current X = x

current Y = 2x -1

current Z = y + 2 = 2x - 1 + 2 = 2x + 1  

Here, x + y +  z = 15

x + 2 x - 1 + 2 x + 1 = 15

5 x = 15

x = 3 A

So, the current in x is 3 A.

A person is skateboarding to their local skate shop to pick up some sick rims. They skate at 8 miles per hour. The store is 2.5 miles away. How long will it take them to get to the store in hours?

Answers

Answer: 0.3125 hours

Step-by-step explanation:

The formula for time taken to cover a distance is:

= Distance / Speed

Distance = 2.5 miles

Speed = 8 miles per  hour

Time taken = 2.5 / 8

= 0.3125 hours

In minutes this is:

= 0.3125 * 60 mins

= 19 mins approx

i don't understand these

Answers

Answer:

3 sqrt(3)

sqrt(7)

Step-by-step explanation:

7 sqrt(3) - 2 sqrt(3) + sqrt(3) - 3 sqrt(3)

Factor out the sqrt(3)

sqrt(3) (7 -2+1-3)

Combine like terms

sqrt(3) (3)

3 sqrt(3)

5 sqrt(7) + 4 sqrt(7) - 8 sqrt(7)

Factor out the sqrt(7)

sqrt(7)( 5+4-8)

Combine like terms

sqrt(7) (1)

sqrt(7)

Step-by-step explanation:

a) We can factor out √3 from all of the terms:

√3(7 - 2 + 1 - 3) = 3√3

b) We can factor out √7 from all the terms

√7(5 + 4 - 8) = √7

Help,no links and please don’t guess. Will give the brainliest . It is a 4 grade question

Answers

Answer:

.7 or 7/10

Step-by-step explanation:

buddy+teddy:2.9

socko+peanut:2.2

2.9-2.2=.7

What is the length of the hypotenuse?

Answers

Answer:

13 cm

Step-by-step explanation:

[tex] \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{169 } = 13[/tex]

it is 13 cm!!! :) hope this helped

The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?

Answers

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

[tex]Letters = 2[/tex]

[tex]Digits= 3[/tex]

[tex]Cars = 800000[/tex]

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

[tex]Letters = 26 * 26[/tex]

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

[tex]Digits = 10*10*10[/tex]

The total arrangement is:

[tex]Total = Letters * Digits[/tex]

[tex]Total = 26*26*10*10*10[/tex]

[tex]Total = 676000[/tex]

By comparison:

[tex]Total < Cars[/tex]

i.e.

[tex]676000 < 800000[/tex]

Hence, the arrangement will not be enough

HELP PLEASE HURRY 10 POINTS In the figure below, which answer choice correctly identifies the name of two
line segments?
PICTURE INCLUDED

Answers

Answer:

B.

Step-by-step explanation:

Answer:

it say 5 points scam

Step-by-step explanation:

Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?

Answers

Answer:

$5.01 moneyyyyyy lollll

Answer:

$5.11

Step-by-step explanation:

Help me plzzzzzzzzzzzzz

Answers

Answer:

The area of a circle.

Step-by-step explanation:

Can I get brainiest please

OKAY, 66% WE NEED AN 80! PLEASE HELP!

Answers

Answer:

Hi again:

77 square millimetres

Step-by-step explanation:

Have a good day :)

Answer:

56 mm²

Step-by-step explanation:

12 - 4 = 8

8 · 7 = 56

56 ÷ 2 = 28

28 mm²

28 mm² + 28 mm²

56 mm²

A computer downloads a 48 kilobyte file in 5 seconds. At this rate, how long will it take the computer to download a file that is 120 kilobytes?​

Answers

The answer is 12.5 seconds.

48/5 = 120/x
x = 2.5
2.5 * 5 = 12.5

Answer:

12,5

Step-by-step explanation:

First, you need to find how many kilobytes do you download every seconds.

You simply divide 48 kilobyte / 5 seconds and you get 9,6 kB/s.

Now you know that your download speed is this you can find the amount of time needed for downloading 120 kilobytes.

You simply divide [tex]\frac{120 kilobytes}{9,6 kilobytes/s} = 12.5 s[/tex].

12,5 seconds.

Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 2

Answers

Answer:   go to quizlet it will most likely have the answers

Step-by-step explanation:

Find the area and round to the nearest tenth. Giving brainlessly

Answers

Answer:

38.6 sq ft

Step-by-step explanation:

This composite figure consists of a trapezoid and a triangle on top

A(trapezoid) = 1/2h(sum of bases)

= 1/2(3.6)(7+9)

= 8(3.6)

= 28.8

A(triangle) = 1/2bh

base = 7

height = 6.4-3.6 which is 2.8

A = 1/2(7)(2.8)

= 3.5(2.8)

= 9.8

28.8 + 9.8 = 38.6

if the family chooses to give you a 20% tip and the tax rate is 8.5% how much will they pay in total?? ​

Answers

Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.

Answer:

Step-by-step explanation:

Create a polynomial function in factored form that crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

Answers

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

PLs, help quickly please I will give brainliest

Answers

9514 1404 393

Answer:

  outcomes (top to bottom): SS, SG, GS, GG

  all probabilities are 0.25

Step-by-step explanation:

Each outcome is identified by the labels on the ends of the corresponding tree branch, in order left-to-right. The top one is SS, for example, and the next one down is SG. Continuing down the tree, the outcomes are GS and GG.

Each letter has a probability of 1/2, so any pair of letters will have a probability of (1/2)(1/2) = 1/4 = 0.25.

__

This method of identifying outcomes and their probabilities can ensure that you find all outcomes. The sum of probabilities should be 1.00 if the tree is properly constructed.

If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.

Answers

Answer:

B

Step-by-step explanation:

x*3/7=42

divide 42 by 3/7: 42*7/3=98

x=98

Answer:

B) 98

Step-by-step explanation:

3/7 = 42/x

3x = 294

x = 98


[tex]245 \div 7[/tex]

Answers

35 is going to be your answer

Answer:

35

Step-by-step explanation:

[tex]245[/tex] ÷ [tex]7[/tex] :-

[tex]245[/tex] ÷ [tex]7 = 35[/tex]

find the volume of 2 and 1/2 1 and 1/2 and 3​

Answers

To find the volume multiply all 3 numbers together.

2 1/2 x 1 1/2 = 3 3/4

3 3/4 x 3 = 11 1/4

The volume is 11 and 1/4 cubic units

what expression is equivalent to x^2-7x+12+(x-3)^2

Answers

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

how would i analyze this ???

Answers

Answer:

2018

Step-by-step explanation:

Find the value of x, when log 10x + log 2 = log 60

Answers

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

If your 9 right now, and in 11 years you'll be 20, how old will you be in 60 years?

Answers

Answer:

you would be..80

Step-by-step explanation:

All you have to do is an addition equation

60 + 20 = 80

The price of a house is originally listed at $150,000. The owners are having a hard time selling it and decide to reduce the price to $115,500. What is the percentage decrease of the price of the house?

Answers

Answer:

there is a 23% decrease in the price of the house

Step-by-step explanation:

percentage decrease of the price of the house = (price decrease of the house / initial price of the house) x 100

price decrease of the house =new price - initial price

$115,500 -  $150,000 = $-34,500

( $-34,500 / $150,000) x 100 = -23%

In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP

Answers

Answers:  x = 17 or x = -23

The order of the answers doesn't matter.

================================================

Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

The value of x is 17.

What is alternate exterior angle?

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

Learn more about alternate exterior angle here:

https://brainly.com/question/2279752

#SPJ2

Other Questions
What is one similarity between compiled and interpreted programming languages? (5 points)Both compiled and interpreted languages are translated one line of code at a time before moving to the next line.Both compiled and interpreted languages can be shared with others while keeping the source code private.Both compiled and interpreted languages are high-level languages and translate code for a computer to understand.There are no similarities between compiled and interpreted programming languages. The book fair sold 60% of the booksdonated to the book fair. They sold72 books. How many books weredonated in all? Review the transactions and determine the accounts, the account types (use assets; liabilities; owner, capital; owner, withdrawals; revenue; and expenses), if they increase/decrease and if they are DR/CR. List accounts in order they would be in the journal entry.Received cash on account from a customer.Account #1Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccount #2Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccrued liability for utilities.Account #1Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccount #2Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditPurchased office supplies on accountAccount #1Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccount #2Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditPaid cash for rent.Account #1Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccount #2Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditPurchased office furniture on accountAccount #1Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditAccount #2Account TypeIncrease/DecreaseIncreaseDecreaseDebit/CreditDebitCreditRecord the following transactions as journal entries.Collected $7,000 cash for servicesCollected $7,000 cash for servicesDateAccounts and ExplanationDebitCreditNov. 3Paid $7,000 cash on account.Paid $7,000 cash on account.DateAccounts and ExplanationDebitCreditNov. 4Paid $7,000 cash for rent.Paid $7,000 cash for rent.DateAccounts and ExplanationDebitCreditNov. 5Paid $5,000 for advertising in the local paperPaid $5,000 for advertising in the local paperDateAccounts and ExplanationDebitCreditNov. 5Bright, the owner, withdrew $7,000 cash.Bright, the owner, withdrew $7,000 cash.DateAccounts and ExplanationDebitCreditNov. 5 Suppose an astronomer observes a binary star system where the stars are separated by 2.0 AU , and they have an orbital period of 7.0 years . Using Newton's version of Kepler's Third Law, find the combined mass of the stars. What is the role of historical context with an example? Find the value of x. Use the function p(x)=4x-3 what is p(3) which data type uses %i as a format specifier If pis inversely proportional to the square of q, and p is 23 when q is 4, determine pwhen q is equal to 2. There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother get? Una pequea empresa dedicada a la fabricacin de muebles lanzar al mercado un nuevo modelo de escritorio para escolares a un precio de S/ 125. Los costos fijos son S/ 4,750 y los costos variables S/ 75. Entonces, cuntos escritorios se deben fabricar y vender para obtener S/ 25 000 de utilidad? Which of the following terms describes a family structure headed by a woman?extendednuclearpatriarchalmatriarchal how might someone use the Socratic method to teach sixth-graders the advantages of living in a democracy The area of the rectangle window is4779 cm to the second power if the length of the window is 81 cm what is the width Irregular Yo verbsYo conjugationVerbMeaningHacerPonerPoderTraerSalirSaberConocerSaber vs. conocersaber =conocer =a.a.b.b.Tallif 4 An approach to a pretimed signal has 30 seconds of effective red, and D/D/1 queuing holds. The total delay at the approach is 83.33 veh-s/cycle and the saturation flow rate is 1000 veh/h. If the capacity of the approach equals the number of arrivals per cycle, determine the approach flow rate and cycle length. 50 POINTS AND BRAINLIEST IF CORRECT!!!Question 29 (3 points)Predict a change in the Earth's surface or effect observed at each of the following for1 point each:- TRANSFORM BOUNDARY- DIVERGENT BOUNDARY- CONVERGENT BOUNDARY why did white southerners love washington plan Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has twosandwiches. One of the sandwiches is ham and the other is turkey, If he reaches into both bags without looking, what is the probability that he will grab a red apple and a ham sandwich? A. 1/8B. 1/2C. 3/8 D. 2/3 please help. giving brainliest. 10 points