Find the shaded sector and the length of the arc. Round to the nearest hundredth.
Answers
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:
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
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
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
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
This is my hw. heelp
Answers
Answer:
1/14
Step-by-step explanation:
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
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...
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.
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:
given m||n, find the value of x
Answers
Answer:
170º
Step-by-step explanation:
The angles are supplementary
x = 180 - 10
x = 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]
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
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
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
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 :]
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:
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?
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
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°
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]
help me solve for x.
Answers
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)
what is nine times a number x, in algebraic expression?
Answers
Answer:
Not possible to answer.
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
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
does anyone know the answer for his ?
Answers
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
Find the value of x
Answers
Answer:
X+6+2x=180
6+3x=180
3x=172
x=57 1/3
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
Answer:
1/3=33 1/3%
Step-by-step explanation:
Since there is 3 balls.
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
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.