A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer 1

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²


Related Questions

How i can answer this question?

Answers

It isn’t asking you to answer the question, all you need to do is simplify it

This is something called collecting like terms, for example, we’d combined both of the r terms

4r - r = 3r

And combine both of the constant terms

14 - 6 = 8


The final expression will be 3r + 6

Answer: 3r+8

Step-by-step explanation:

4r-r=3r

and 14-6=8

therefore it would be 3r+8

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.

Answers

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

Is (6,7) the same point as (7,6)? Explain

Answers

Answer:

no

Step-by-step explanation:

no

Answer:

NO

Step-by-step explanation:

6,7 is a totally different point from 7,6 if you where to graph it 7,6 would be above 6,7 not on the same point.

how do i solve use the GCF and the distributive property to express a sum as a product 52 +20+36

Answers

Answer: just add them all up add 50+20+36 then you get 106

Step-by-step explan

Please find the equation for this ASAP

Answers

Answer:

y=-2x-3

Step-by-step explanation:

the slope is 2/1 going down and the y intercept is -3

Find the value of a and b in parallelogram QRST

Answers

Answer:

a=7

b=11

Step-by-step explanation:

4a=3a+7

-3a -3a

a=7

2b=b+11

-b -b

b=11

sides parallel from eachother in a parallelogram are equal to eachother.

A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group.

Which component is missing from the biologist’s process?

The biologist did not use proper labeling on the pieces of paper.
The biologist did not use the appropriate number of treatment groups.
The biologist did not randomly assign the individual bats to the treatment groups.
The biologist did not randomly choose the weather on the night for bat capture.

Answers

Answer:

The biologist did not use proper labeling on the pieces of paper.

Hit Brainliest if this was helpful :)

Choose two expressions that are equivalent to 5 (3a + 4b).
A. 15a + 4b
B. 15a + 206
C. 5a + 3a + 4b
D. 5a + 10a + b + 3b
E. 10a + 5a + 15b + 5b
Pick two answers

Answers

Answer:

B and E

Step-by-step explanation:

I think the choice is wrong. choice B maybe 15a+20b...

5(3a+4b) = 15a+20b (B)

(E) : 10a + 5a + 15b + 5b = 15a+20b

fighting! ✌✌

Answer:

e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b

what label would not be appropriate for volume

Answers

Are there some options you could add to the question?

brainliset

Solve.

p217=−5.3

Enter your answer as a mixed number in simplest form in the box.

p =

Answers

Answer: - 11 5/14 or -159/14

Step-by-step explanation:

Multiply both sides by 2 1/7.

Correct me if I am incorrect.

The value of p for the given expression is equal to 11(⁵/₁₄).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is P / 2(¹/₇) =-5.3. the value of p will be calculated as,

P / 2(¹/₇) =-5.3

P = -5.3 x 2(¹/₇)

Solve the equation by changing the mixed fraction to a simple fraction.

P = -5.3 x 15 / 7

P = 159 / 14

P = 11(⁵/₁₄).

To know more about an expression follow

https://brainly.com/question/21446512

#SPJ2

name all the properties of a square

Answers

Answer:

Here :)

Equilateral Polygon,

Convex Polygon,

Cyclic

Isgonal Figure

Istoxal Figure

Help me please ;-;
NO LINKS!!!

A ___________ represents a relationship between two quantities. Select all that apply.

A. Equation
B. Graph
C. Table
D. Function

Answers

Answer:

D. Function

Step-by-step explanation:

Function:a relationship or expression involving one or more variables.

"the function (bx + c)"

pleeeeease help meeeeeee

Answers

Answer:

  y = 5x +7

Step-by-step explanation:

Using the hint, we have ...

  y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)

  y = 5x +10 -3 . . . . . eliminate parentheses, add -3

  y = 5x +7

(9,11)(9,3) find the slope and explain
please

Answers

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

11-3/9-9

8/0

0

slope=0

One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)

Answers

Answer:One minute is 60 times as long as one hour i guess?

How many 1/6's are in 45/2

Answers

The answer is: 135/1

Angel plans to get his new product into Walmart. If he plans to sell 10,000 units to Walmart at $45 each, but Walmart negotiates a 20% discount, how much revenue has Angel lost compared to his original plan?

Answers

Answer:

90,000

Step-by-step explanation:

First you want to know how much money Angel plans to earn so you multiply 10,000 * 45 and that is 450,000. Then you find the 20% discount that Walmart negotiated so you turn 20% into a decimal. 20% as a decimal is 0.20 or 0.2. You then multiply 0.2 * 450,000 to get 90,000 which is the amount Walmart is discounting off. And if you need to find how much Angel is getting after the discount, subtract 90,000 from 450,000! :D I hope this helps!!

find x .....merry Christmas :)))

Answers

The value of x in the triangle is 70°

What is a scalene triangle?

A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°

i.e

[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]

Let's assume that angle y = 60° and angle z = 50°  

Then;

[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]

x + 110° =180°

x = 180° - 110°

x = 70°

Learn more about scalene triangle here:

https://brainly.com/question/16589630

6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?

Answers

480 quarts in 12 hours, 960 in one day :)

Answer:

480 quarts could be made in 12 hours

Rate: 40 quarts per hour

Step-by-step explanation:

Rate: 200/5 = 40 quarts per hour

(40)(12) = 480 quarts

FACTORIZE AND Split the middle term: 72 + b - b^2​

Answers

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

Kevin drank
2
3
liter of water Monday before going jogging. He drank
5
7
liter of water after his jog. How much water did Kevin drink altogether? Write your answer as a mixed number.

Answers

Answer:

80 Liters

Step-by-step explanation:

23 + 57 = 80

80 = 57 + 23

Please help I don't understand i'm in the lowest class!

Answers

Answer:

Step-by-step explanation:

LOOKING FOR BRAINIEST?









Photo down below! Will give brainiest to first (and correct) answer!

x = ____
m m m

Answers

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

13x - 8 + 7x + 4 + 3x = 180 , simplify left side

23x - 4 = 180 ( add 4 to both sides )

23x = 184 ( divide both sides by 23 )

x = 8

Good morning fellow Brainaics.

Please help me with this question.

Answers

Answer:

Veganism :)

Step-by-step explanation:

Step-by-step explanation:

B: Veganism.

but ... how is that mathematics ?

ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn

Answers

Answer:  Hexagon

Explanation:

There are n = 6 sides to a hexagon. If we had a regular hexagon, then each exterior angle is E = 360/n = 360/6 = 60 degrees, which means the adjacent interior angle is 180-E = 180-60 = 120.

In short, each interior angle of a regular hexagon is 120 degrees, making each angle obtuse. Other polygons are possible for the answer.

The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST

Answers

Answer:

A. (5, 13)

Step-by-step explanation:

The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:

(x, y) → (x + 4, y + 5)

Apply the rule to the given point to get:

(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)

Correct choice is A

Answer:

A. (5, 13)

Step-by-step explanation:

The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?

Answers

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

Learn more about ratio:

https://brainly.com/question/16981404

Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .

Answers

the equation is y=-2x+9

The drama club is selling tickets to their play to raise money for the show's expenses:

Each student ticket sells for $5 and each adult ticket sells for $7.50

The auditorium can hold no more than 75 people.

The drama club must make a minimum of $450 from ticket sales to cover the show's costs.

If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

  see attached

Step-by-step explanation:

The two inequalities you want to plot are ...

  x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people

  5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs

__

These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.

The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.

On of the points in the potential solution area is shown in the attached graph:

  (x, y) = (25, 50) . . . . fills the theater, gives $500 revenue

In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.

Answers

Answer:

t = 514.6in.

Step-by-step explanation:

280/sin(29°) = t/sin(63°)

t = 280*sin(63°)/sin(29°)

t = 514.6 in. (to the nearest 10th of an inch)

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