Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​

Find The Shaded Sector And The Length Of The Arc. Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

[tex]AL=\frac{40}{360}*2(3.1415)(3)[/tex]. I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

[tex]AL=\frac{1}{9}*2(3.1415)(3)[/tex] which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

[tex]A_s=\frac{1}{9}*(3.1415)(3)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{9}*(3.1415)(9)[/tex]. As you can see, the 9's cancel each other out, leaving you with

[tex]A_s=3.14[/tex] units²

Answer 2

Answer:

Step-by-step explanation:

[tex]Arc \ Length = 2 \pi r \frac{ \theta}{360}[/tex]

[tex]Sector \ Area = \pi r^2 \frac{ \theta }{360}[/tex]

[tex]1) Arc \ Length = 2 \pi \times 3 \times \frac{40}{360} = 2\pi \times 3 \times \frac{1}{9} = \frac{2}{3} \pi = 2.09[/tex]

  [tex]Sector \ Area = \pi \times 9 \times \frac{40}{360} = 9\pi \times \frac{1}{9} = \pi = 3.14[/tex]

[tex]2) Arc \ Length = 2 \pi \times 5 \times \frac{88}{360}= 7.68[/tex]

  [tex]Sector \ Area = \pi \times 25 \times \frac{88}{360} = 19.2[/tex]

[tex]3) Arc \ Length = 2 \pi \times 6 \times \frac{260}{360} = 27.22[/tex]

  [tex]Sector \ Area = \pi \times 36 \times \frac{260}{360} = 81.68[/tex]

 


Related Questions

Find the surface area plzzzzzz

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please give answer I will mark as brainliest if you give the right answer​

Answers

a) 8.68 x 10^25

b) 1.439 x 10^12

Answer:

(8.6810±0.0013)×10^26 kg

1.439 time 10^12

Step-by-step explanation:

standard for is the whole numer with thousandth's place times 10^n or the number of zeroes

HELP
Find the distance from point P (-2, 8) to the line y = -1.

Answers

Step-by-step explanation:

Distance= ✓(-2-0)²+(8+1)²

=✓(4+81)

=✓85

Maggie timed how long it took
her to finish a jigsaw puzzle.
The first time she finished in
12 minutes. She was able to
finish the puzzle twice as fast
the second time and three times
as fast the third time. How
long did it take her to finish
the puzzle the second and third
times?
What is the answer

Answers

The first time she finished in 12 minutes.

The second time she finished in 12/2=6 minutes

The third time she finished in 12/3=4 minutes

write equivalent fractions for 2 3/4+1 2/3 using a common denominator.

Answers

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

Part A

Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?

Answers

Answer: hello your question has some missing data attached below is the missing data

answer:

The second scatter plot

Step-by-step explanation:

The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot

Answer:

Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.

Step-by-step explanation:

If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.

(in other words the other person who answered is correct)

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of muffins. Write an expression to represent how much each friend must pay.

Answers

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

which point is a solution to the inequality shown in this graph


(0, 5)
(3, 2)
(-3, -6)
(5, 0)

Answers

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

how many solutions are there to the system of equations graphed below if the lines are parallel ?

Answers

A. Zero

They're parallel so they will never intersect therefore: no solutions :]

a b and c of a right angled are in the ratio 7:18:11

the smallest angle is 35

work out angles a b and c

Answers

Answer:

a=35° b=90° c=55°

Step-by-step explanation:

7:18:11

total ratio=7+18+11

=36

The smallest angle(a)

7/36 x s=35

7s/36=35

7s=35x36

7s=1260

7s/7=1260/7

s=180°

second angle (b)

18/36x180

=90°

third angle (c)

11/36x180

=55°

I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(

Answers

Answer:

x = 4

Step-by-step explanation:

6(6 + x) = 5(5 + x + 3) => secant secant theorem

36 + 6x = 5(8 + x)

36 + 6x = 40 + 5x

Subtract 36 from each side

36 + 6x - 36 = 40 + 5x - 36

6x = 4 + 5x

Subtract 5x from each side

6x - 5x = 4 + 5x - 5x

x = 4

given m||n, find the value of x

Answers

Answer:

170º

Step-by-step explanation:

The angles are supplementary

x = 180 - 10

x = 170

the value of x is 170°

Find the circumference of a circle with radius, r = 6.5m.
Give your answer in terms of pie

Answers

Answer:

13π m

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*6.5

=13π m

Answer:

13[tex]\pi[/tex] m

Step-by-step explanation:

The formula for circumference is 2r[tex]\pi[/tex], so...

2r[tex]\pi[/tex]

2(6.5)[tex]\pi[/tex]

=13[tex]\pi[/tex]

Question 1 of 5 Shelley has a bag containing three balls: one red, one yellow, and one green. All balls are equally likely to be chosen. Shelley will choose one ball without looking in the bag. What is the probability that Shelley will choose the yellow ball out of the bag? ​

Answers

1/3 or 33.3333% :)) hope this helps

Answer:

1/3=33 1/3%

Step-by-step explanation:

Since there is 3 balls.

The sum of two consecutive integers is at least 36. What does the equation look like and what is the least possible pair of integers?



A.x+x+1≤36
18 and 17


B.x+x+1≥36
17 and 19


C.x+x+1≥36
18 and 19


D.x+x+1≤36
18 and 18

Answers

Answer:

The answer is B

Step-by-step explanation:

the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer

This is my hw. heelp

Answers

Answer:

1/14

Step-by-step explanation:

For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.

Answers

There should be 36 combinations that you should be able to do! I hope this helps!

what is nine times a number x, in algebraic expression?​

Answers

Answer:

Not possible to answer.

the answer would be 9x :)

help me solve for x.

Answers

Answers : x= 15 i took a test and got it right

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Please help I’ll give brainliest

Answers

Answer:

33

Step-by-step explanation:

The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33

Brian decided to start a dog-walking service. He's going to charge each dog owner $4.50 to walk one dog and $6.75 to walk two dogs. Approximately how much will he earn if he walks 13 single dogs and 9 sets of two dogs?

Answers

Answer:

$119.25

Step-by-step explanation:

13 × 4.50 = 58.5

9 × 6.75 = 60,75

58.5 + 60.75 = 119.35

Answer:

$119.25

Step-by-step explanation:

you have to multiply 4.50 x 13 than you multiply 6.75 x 9, which is 60.75 and 58.50. next you add 60.75 and 58.50 and get your answer of $119.25.

Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores

Answers

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

[tex]Scores: 98, 78, 84, 75, 91[/tex]

Required

The mean absolute deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]

[tex]\bar x = \frac{426}{5}[/tex]

[tex]\bar x = 85.2[/tex]

The mean absolute deviation (M) is:

[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]

[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]

[tex]M = \frac{1}{5}*37.2[/tex]

[tex]M = 7.44[/tex]

What is the exponent for the expression 6 x 6 x 6 x 6 x 6?

Answers

Answer:

6^5

Step-by-step explanation:

Answer: 6^5

Step-by-step explanation:

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =

Answers

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

Please help me I would really appreciate it, If you can't that is okay but please try!

Answers

Answer:

Either A or B

Step-by-step explanation:

Its not C or D sorry I couldn't be much help, but I hope that makes it a bit easier?

Which linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)

Answers

Answer:

y minus 9 = negative 2 (x + 1)

Step-by-step explanation:

i put it onto desnos graphing calculater and thats what i got

Answer:

A

Step-by-step explanation:

bannana

Find the value of x

Answers

Answer:

X+6+2x=180

6+3x=180

3x=172

x=57 1/3

does anyone know the answer for his ?

Answers

the answer is B :) i answered the other one
the answer is B x=1+2i,1−2i

Given y= -5x^2 +30x -9, find the axis of symmetry.

x= -30
x= 6
x= 3
x= -3

Answers

Answer:

8

Step-by-step explanation:

pls mark me brainliest

-5(x²-6x+9)+45-9

-5(x-3)²+36

Standard form

y= a(x-p)²+q

a=-5,p= 3 and q=36

axis of symmetry :x= p

=>x= 3

Hope it helps you...

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