A circular sector has a central angle of π6 radians and a radius of 9 ft.

What is the area of the sector?

Use 3.14 for pi. Round your answer to the nearest tenth.

Enter your answer in the box.
area = ft2

Answers

Answer 1

Answer:

[tex] \approx \: 21.2 \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex]central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2} [/tex]

Answer 2

Answer:

given

π6radian=30°

radius r =9ft

the area of the sector=30°/360×π×r²

=30/360×22/7×9²=21.214ft²


Related Questions

TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction

Answers

Question:

[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?

[tex]\frac{H I}{J K}[/tex]      [tex]\frac{H J}{J L}[/tex]     [tex]\frac{I K}{K L}[/tex]     [tex]\frac{J K}{H I}[/tex]      

Answer:

[tex]\frac{H I}{J K}[/tex]

Step-by-step explanation:

Given

HLI ~ [tex]\triangle[/tex]JLK

[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

Required

Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK  implies that:

HL, IL and HI corresponds to JL, KL and JK respectively.

So, the possible ratios are:

HL : IL : HI = JL : KL : JK

Convert to fractions

[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]

So, from the list of options

[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]

Answer:

its A

Step-by-step explanation:

which theorem is correct

Answers

Answer:

The SSS theorem

Step-by-step explanation:

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

JJ buys a video game for $50.00. If the sales tax is 8.25%



Enter the sum, in dollars, that JJ paid, including tax.

Answers

Answer:

$54.26

Step-by-step explanation:

Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.

This will give you .0825.

Multiply this number by $50 and add it to it

$54.26

Hope this helps! Good luck!! :)

2x + 6
96
solve for x using an algebraic equation

Answers

Answer:

v

Step-by-step explanation:

1 gram = ----- centigrams

Answers

Answer:

100 centigrams!!

Step-by-step explanation:

I need help with only 4,8,10 and 12 I’m marking brainlest!

Answers

Answer:

4. [tex]\frac{1}{6}[/tex]

8. [tex]\frac{1}{2}[/tex]

10. [tex]7\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]7\frac{1}{4}[/tex]

I've answered 4, 8 and 10 for you as you haven't provided 12, but I hope this helps!! ^-^

the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​

Answers

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

Answer:

p=2L+2W

34mm=(2×8)+2W

34mm=16+2W

2W=34mm-16mm

2W=18mm

W=9mm

Pls Help asap thx alot ​

Answers

Answer: 52.5cm²

Step-by-step explanation:

Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.

To work out the area of the rectangle you would have to do 8x5=40.

To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.

Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5

To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²

Hope this helps :)

5 less than 3 times a number y. Please help.

Answers

Answer:

3y-5 would be your equation

Step-by-step explanation:

Answer:

H-u-H?!

Step-by-step explanation:

Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart

Answers

Answer:

3.6 hours.

Step-by-step explanation:

Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart

Since they are moving in opposite directions to each other, let us first calculate the relative velocity.

Relative speed = 48 - 35 = 13 mph

Using the formula

Speed = distance/time

Substitute all the parameters into the formula

13 = 48 / time

Make time the subject of the formula

Time = 48 /13

3.69 hours.

Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.

Find the equation of the line.

Answers

Answer:

Step-by-step explanation:

3 miles = _______ feet .........................................................

Answers

15840 feet in 3 miles
It’s 15840.feet



So um yea it said I needed more words

Please help me label the diagram beaded on the word bank given. (Geometry)

Answers

i think this should help a bit

I need the answer pls

Answers

Answer:

B?

Step-by-step explanation:

I feel like the answer would be b but I'm not that good with fractions so don't choose my answer right away...

The new school copy machine makes 3,480 copies per hour. How many copies does the machine make per minute? How did you get your answer?

Answers

I think the answer is 64

which should i pick?

Answers

Answer:

5 X 4 is the correct answer.

Step-by-step explanation:

I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.

What Is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles

Answers

Answer:

The answer is "5"

Step-by-step explanation:

Please find the complete question in the attached file.

Given values:

[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]

When we calculating the difference so, it is "5" because 15 -10=5

What method could be used to prove the triangle congruent?

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

B) SAS

You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?

Answers

Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

Shirt original price $25

In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.​

Answers

Answer:

sin (55)  =  DE / AD

AD  =  DE / sin (55)

AD  =  8 / sin (55)

And  

tan (55) = DC / AD

tan (55)  = DC / [8 / sin (55) ]

DC  =  8 tan (55) / sin (55)    

AD * DC  =

[8 /sin (55) ]  [ 8 tan (55) / sin (55) ]   =    136 units^2  

Step-by-step explanation:

f

Exact Value Please.

Answers

Answer:

30

Step-by-step explanation:

Scientific calculator will help answering this

ill give brainlist who ever get this right

Answers

Answer:

The answer is 1086 in³

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Write the expression as a difference of squares.
25x2 − 4
Factor the difference of squares.
25x2 − 4

Answers

Answer:

(5x-2)(5x+2)

Step-by-step explanation:

Differences of squares is basically (a2-b2) = (a-b) (a+b)

a = 5x and b = 2 in this case

Brainliest is appreciated :)

During a hone run hitting contest Joe D hit 5 more home runs then ted w, ted w hit 8 more home runs then willie M. Altogether the three baseball players hit 105 hone runs, how many home runs did Ted W hit

Answers

Answer: 36

Step-by-step explanation:

Let Willie number of home run he represented by x.

Since ted w hit 8 more home runs than willie M, Ted home runs = x + 8

Since Joe D hit 5 more home runs than ted w, Joe D home run will be: = x + 8 + 5 = x + 13

Since they hit 105 home runs together, this will be represented as:

x + (x+8) + (x+13) = 105

x + x + 8 + x + 13 = 105

3x + 21 = 105

3x = 105 - 21

3x = 84

x = 84/3

x = 28

Number of Ted home run will be:

= x + 8

= 28 + 8

= 36

hii please help i’ll give brainliest!!

Answers

Answer:

the answer is d :)

Step-by-step explanation:

Answer:

3 one thats the answer its going up and down

Marco located the falllow points on a number line which point is not corrtly placed on the number line

Answers

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B:  3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

[tex]Point\ A= 0.3[/tex]

[tex]Point\ B= \frac{3}{4}[/tex]

[tex]Point\ C= \frac{11}{4}[/tex]

[tex]Point\ D= 0.7[/tex]

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

[tex]A < B < C < D[/tex]

Substitute the values for the given points

[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]

Express as fractions

[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

This implies that point D is not correctly placed

Write an equation for the data in the table. Identify your variables.

Answers

First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2

[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]

Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept

Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b

y = 15x - 20

y is the money in the bank account in dollars

x is the day


DUE TODAY HELP

It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False

Answers

I think true, unless there is a loop hole.

8.96÷26 pls help me ​

Answers

0.34461538461 or it could just be 0.34

One plane take of at 8:09P.M. And lands at 10:53PM. Another plane takes off at 9:14P.M. And lands at 12:31P.M. For how long were both planes in the air at the same time.

Answers

Answer:

1 hour 39 Minutes

Step-by-step explanation:

At 8:09 P.M

Only the first plane was in the air

At 9:14 P.M

Both Planes were in the air

At 10:53 PM

First plane lands

For how long were both planes in the air at the same time.

Both planes were in the air between the 9:14 P.M and 10:53 PM

Duration = 1 hour 39 Minutes

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