a sector has a radius of 4 and a central angle of 40 degrees. Find the arc length and area of sector

Answers

Answer 1

Answer:

Step-by-step explanation:

θ = 2π/9 radians

arc length = rθ = 8π/9 units

area of sector = πr²/9 = 16π/9 square units


Related Questions

dilation of 1.5 about the origin

Answers

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

can someone help me with this please​

Answers

Answer:

4

This figure has 4 lines of symmetry.

Give the value of x. Explain how you got your answer OR which theorem you used.

Answers

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value of d in the point (1, d). What does that point represent?


A. d=25; the unit rate is 25 miles per gallon

B. d=25; the unit rate is 25 gallons per mile

C. d=50; the unit rate is 50 miles per gallon

D. d=50; the unit rate is 50 gallons per mile

Answers

Answer:

B

Step-by-step explanation:

The "x" coordinate goes before the y coordinate. For example, it is (x, y)

To solve:

When the x coordinate, or the gasoline used (In gallons) is 1, then we need to find what d is.

On the graph, d = 25 miles per gallon.

So, the answer is B.

The Problem of the Points. Two players engage in a game. They are equally matched, and the chances of winning a point are the same for each player. The first player to score 10 points wins the $100 stakes. The game is interrupted suddenly when Player A has 7 points and Player B has 5 points. How should the stakes be divided fairly

Answers

Answer:

Player A receives $77.34375 of the sakes

Player B receives $22.65625 of the stakes

Step-by-step explanation:

Given that at the time the game was interrupted, we have;

The number of points player A  has = 7 points

The number of points player B has = 5 points

The amount the first player to score 10 points wins = $100

The number of points remaining for player A to win the game = 3

The number of points remaining for player B to win the game = 5

Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials

We take the probability that Player A wins a point as success

We find the likelihood of Plater A winning by using binomial theory as follows;

[tex]P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}[/tex]

Therefore, given that the likelihood of Player A winning = 99/128

The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes

Therefore, Player A gets (99/128) × $100 = $77.34375

Player B gets (29/128) × $100 =  $22.65625

Erin is making fruit punch for a party. The bowl currently has 2 1/4 cups of punch. Write and solve an equation to find the number of cups of fruit punch that were added to the bowl. -Be sure to define your variable as specially as possible.

Answers

Answer: x+2 1/4

Step-by-step Explanation: It does not tell you how much you had before they added 2 1/4 cups of water. all you need is a variable to represent the unknow number. A variable is a letter that represents something, A-Z.

2x+y=5 y=x−1 system of equations please show your work

Answers

sub y = x - 1 into equation 1

2x + x - 1 = 5

3x = 6

x = 2

sub x = 2 into equation 2

y = 2 - 1

y = 1

Please HElp now no fake answers

Answers

Answer:

5.0 and 5.1

Step-by-step explanation:

√26 = 5.099019514 , it's from the calculator

Answer:

the square root of 26 must lie between 5 and 6

Step-by-step explanation:

5.099019514

A dress is on sale for 35\% off of the regular price.

If d represents the regular price of the dress, which expression represents the sale price of the dress?


A.
0.35d

B.
0.65d

C.
1.35d

D.
1.65d

PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.

The sale price of the dress is $
.

Answers

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

Which line contains the ordered pair (-4,-2)​

Answers

Answer:

I think it is the line F..

will mark brainliest if fast

Answers

Sector area can be found with the formula [tex]A = \frac{\theta}{360} \pi r ^2[/tex] where [tex]\theta[/tex] is the central angle.

r = 8m , [tex]\theta[/tex] = 135º

[tex]A = \frac{135}{360} \pi (8)[/tex] m^2

Arc length formula is [tex]s = 2\pi r (\frac{\theta}{360} )\\[/tex]

[tex]s = 2\pi (8)(\frac{135}{360} )\\[/tex] m

We’ve built a machine that follows these instructions:

Add 4
Multiply by 2
Subtract 3

If we put 10 into this machine, what will come out?

Answers

hm
10 + 4 x 2 - 3
=10 + 8 - 3
=18 - 3
=15

lyle has this juice box in his lunch. how much juice does it hold when its full?
A. 7/8ft^3
B. 3/14ft^3
C. 1/64ft^3
D. 1/14ft^3

Answers

It would be C. All you have to do is length times width times height

answer fast plz sjsjzjz​

Answers

Answer:

104

Step-by-step explanation:

Just separate the whole thing into two shapes. Multiply the first shape: 12 x 7 = 84

Multiply the second shape: 5 x 4 = 20

1522 customers at a major retailer were surveyed whether or not they made a purchase and were satisfied with the service they received. The table below organized the responses

Answers

a) a total of 677 were not satisfied. Of these 494 made a purchase  494/677

b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624

all that make this true i need help

Answers

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

graph x > -4 on a number line​

Answers

Answer:

Well, since x is bigger than negative 4, it cant be -5, so its either from -3 to 5.

since your question says to graph it,  i attached a blank graph. put the points on the blank graph and this will help you find your answer. hope i helped.

Step-by-step explanation:

Find the slope of the line -2,-6 and -4,8

Answers

Answer:

dhkmbhuigago katangina mo

Answer:

hope help you stay happy

Cost, Revenue, Profit
Identify the relevant information given to you in the application problem below. Use that information to answer the questions that follow on cost, revenue and profit.
Round your answers to two decimal places as needed.
You decide to begin selling frozen bananas at the local park. Your cost for each frozen banana is $2.25 plus you have to pay a fixed weekly fee of $120 for the booth. Your plan is to sell each frozen banana for $3.51.
1. Write a function, Cin), to represent your total costs for the week if you sell n frozen bananas. C(n) 2.25 + 120
2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week. R(n) 3,5ln
3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week. P(n) 1.26n - 120
1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number. 95.23809524 frozen bananas
2. Complete the following sentence to explain the meaning of #1:
In order to make a profit, I have to sell a minimum of________

Answers

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of 96 frozen bananas.

A 12m by 12m square garden has a 1m wide path through the centre, parallel to one side of the square. calculate the area of the garden left for planting.​

Answers

Answer:

132 m²

Step-by-step explanation:

overall area = 12 m x 12 m = 144 m²

area of path = 1 m x 12 m = 12 m²

144 m² - 12 m² = 132 m²

A small island country with less than 20,000 cars has decided to reissue the license plates for its cars and has decided on the following rules for assigning numbers and letters to the license plates. Each plate will have 7 character positions that each must be filled. The leftmost character position will hold a letter from the set {D, E, H, G, X}. The next three positions will hold integers from the set {0, 1, ..., 9} but none of the integers can be repeated. The rightmost three positions must be entirely from the set {I, V, X} or entirely from the set {P, Q, R}, with repetition allowed in either case. For example, a valid plate would be G 027 XXI and an invalid plate would be G 337 PQX (two rules violated). What is the maximum number of different license plates following the rules?

a. 270,000
b. 2,624,400
c. 3,645,000
d. 194,400

Answers

Answer:

The answer is "Choice d"

Step-by-step explanation:

Given data:

7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]

calculating the left most filled by any of D, E, H, G, X

a possible way to fill =5

calculating the next 3 value that will be filled 0 to 10 without any repetition

possible way to fill [tex]=10 \times 9 \times 8[/tex]

calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation

possible way [tex]=2 \times 3^3[/tex]

Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]

The product of five and a number plus 10 is at least thirty

Answers

Answer: Greater of equal sign

Step-by-step explanation:

5+10+x is greater than or equal to 30 ( use the greater of equal to sign)

What does -4(3x-4)=44
What is x

Answers

Answer:

-7/3

Step-by-step explanation:

A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.

Answers

Answer:

Step-by-step explanation:

Write a polynomial that represents the area of the square.

Answers

(4c + 4d)² =

= (4c)² + 2 * 4c * 4d + (4d)² =

= 16c² + 32cd + 16d²

combine like terms in the expression -4x+7x-2y+7y​

Answers

Answer:

-4x + 7x - 2y + 7y =

3x + 5y

Step-by-step explanation:

Hope that this helps :)

A certain species of bird is in danger of becoming extinct. There were 1500 of these birds in 2010 and they are decreasing at an annual rate of 6.5%. If this trend continues, how many birds will be left in 2025?

Answers

The answer is 3025 and the reason why is because

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?

Please explain for brainliest.

Answers

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.​

Answers

Discount = 365*30/100 = $109.5

sales price = 365*70/100 = $255.5

Do you understand what i am doing

The length of a rectangular room is 4 more than three times the width. Find the perimeter and area of the room 16.

Answers

The answer is gonna be 70
Other Questions
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If Johns height is 170 cm (almost 57), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe Johns general appearance? What is a cone of depression and how is it caused? A characteristic used to describe something is called a Recalling the competency pyramid studied in this chapter, what is the difference between a personal competency and an academic competency?A personal competency is something you are born with, whereas an academic competency is something a teacher gives youA personal competency is something warned from schooling, while an academic competency is something learned through readingA personal competency is a skill that is part of your character or personality, whereas an academic competency is generally learned through schoolingA personal competency is something that you cannot develop, whereas an academic competency is something that you can learn The _______, which ended World War I, set the stage for World War II in the ways it punished Germany. Identify the two most important rights held exclusively by U.S. citizens. Please help Ill give brainlieast Great Britain taxed the colonies to repay its debt. Why was Great Britain in debt? A. It owed Spain money for building British ships. B. It owed France money because France sent soldiers to help the British control the colonists. C. It had borrowed money to fight the French and Indian War. D. It owed the colonists money for imports of raw materials.PLEASE HELP! Summary of the corner store? IM GONNA FAIL MY QUADRATIC FORMULAS TEST HELP PLSSS!I need you to tell me how many of these formulas I can use on the equation:a) Square Rootsb) Quadratic Formulac) Completing the Squared) Factoring/Zero Product Property solve each system by substitution y=2x-1. 3x+8y=11 Parts of the Arctic have 21 hours of daylight each summer day. Whatfraction of the day is dark? Show your work. Write your answer in lowestterms.ok so can someone please answer because this is for a test Suppose the production of long-distance airline flights is described by a fixed proportion production process in which three crew members (i.e., labor) are required for each aircraft (i.e., capital). If the airline operates with four crew members per plane, then we know that: A. the production process violates diminishing margin returns. B. production at this point is technically inefficient. C. the isoquants for this production process are upward sloping. D. the airline will have negative profits. HELP ASAP WILL GIVE BRIENLIST This photograph shows Dr. Martin Luther King, Jr., and other civil rights leaders at the "March on Washington" in1963. What conclusion can be made from thisphotograph?-Whites as well as blacks participated in the struggle against racial discrimination-A Philip Randolph was unable to attend the March on Washington-Dr. King refused to work with whites in the struggle against segregation-The March on Washington successfully persuaded states to prohibit racial segregation HELP MARK BRANLIEST AND ALSO POINTS Helppppppp...????????????????????? In what way was the ratification of the Fourteenth Amendment a reflection ofthe historical context surrounding the late 19th century?A. It guaranteed equal rights regardless of race at a time whenformer African American slaves were vulnerable to extremediscrimination.B. It sought to end racial segregation at a time when AfricanAmericans were beginning to launch a major civil rightsmovement.C. It empowered state governments to deal with racial segregation ata time when Americans were extremely skeptical of increasingfederal power.D. It applied the Bill of Rights to the states at a time when moststates recognized no individual rights for their citizens. Opera history began:A. With the meetings of the Florentine CamerataB. When Lully wrote ArmideC.When Rameau published La nuove MusicheD.With the first preformance of Orfeo ed Euridice by Gluck For which value of x must the square root 97x be further simplified T-lymphocytes are created in the bone marrow and then developed in thespleen.adenoids.thymus.tonsils.