What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your answer to the nearest hundredth.
Answers
A=πr²
A is the area of the circle.
π=3.14
r is the radius of the circle.
- To calculate the area of the sector indicated in the problem, you must apply the following formula:
As=(θ/2π)πr²
As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.
- First, you must find the radius:
r=Diameter/2
r=20.6 mm/2
r=10.3 mm
- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:
As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²
- Finally, the area of the sector is:
As= 37.01 mm²
The area of the sector rounded to the nearest hundredth is [tex]$37.02 \, \text{mm}^2$[/tex].
To find the area of a sector, we use the formula:
[tex]\[ \text{Area of sector} = \frac{\text{Central angle}}{2\pi} \times \pi r^2 \][/tex]
Given that the central angle is [tex]\( \frac{2\pi}{9} \)[/tex] radians and the diameter (which is twice the radius) is [tex]$20.6 \, \text{mm}$[/tex], the radius is [tex]\( \frac{20.6 \, \text{mm}}{2} = 10.3 \, \text{mm} \)[/tex].
Now, substituting these values into the formula:
[tex]\[ \text{Area of sector} = \frac{\frac{2\pi}{9}}{2\pi} \times \pi (10.3)^2 \][/tex]
[tex]\[ = \frac{1}{9} \times \pi \times 10.3^2 \][/tex]
[tex]\[ = \frac{1}{9} \times 3.14 \times 106.09 \][/tex]
[tex]\[ = \frac{1}{9} \times 333.2086 \][/tex]
[tex]\[ \approx 37.02 \, \text{mm}^2 \][/tex]
Rounded to the nearest hundredth, the area of the sector is approximately [tex]$37.02 \, \text{mm}^2$[/tex].
Related Questions
George Orwell based his novel, 1984, on the idea of
capitalism
totalitarianism
fascism
constitutional monarchy
Answers
totalitarianism
PLEASE HELP!
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center has 5-pound bags of grass seed. Each bag of seed can cover 25 square yards of land.
You calculate that the area you need to seed is 3200 square feet. You divide by 25 to find that you need 128 bags to seed the area. Is this correct?
A) Yes.
B) No, you need to convert the 3200 square feet to yards by dividing by 3. Then calculate the number of bags.
C) No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
D) No, you need to convert the 3200 square feet to yards by multiplying by 9. Then calculate the number of bags.
Answers
(1 yard)^2 = (3 feet)^2 ... square both sides
1 yard^2 = 9 feet^2
which means 1 square yard is equal to 9 square feet
think of a square yard as a 3x3 square where each smaller square is 1 square foot.
To convert from square feet to square yards, we multiply by the conversion factor (1 yard^2/9 feet^2). Or put simply we multiply by 1/9 which is the same as dividing by 9
This is why the answer is choice C.
Answer:
Since the mulch is measured in yards you need to either convert the area to be seeded to yards or the bag to feet. No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
Use a graphing calculator to solve the equation in the interval from 0 to 2π Round your answers to the nearest hundredth. 1.21, 2.26, 3.31, 4.35, 5.40 3.64 1.21, 4.35 0.404, 1,452.5, 3.55, 4.59, 5.64
Answers
The solution to the equation at the given interval is x = 3.64
Using a graphing calculator to solve the equation
From the question, we have the following parameters that can be used in our computation:
[tex]3\tan(\dfrac 13\theta) = 8[/tex]
This can be expressed as
[tex]y = 3\tan(\dfrac 13\theta)[/tex]
y = 8
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This point is located at x = 3.64
Hence, the solution to the equation at the inverval is x = 3.64
Question
Use a graphing calculator to solve the equation
[tex]3\tan(\dfrac 13\theta) = 8[/tex]
in the interval from 0 to 2π Round your answers to the nearest hundredth.
How to solve 6+5c=-29
Answers
•You are trying to find C
Therefore you make C your subject by subtracting 6 on both sides then divide by 5.
Like this ;
6 - 6 + 5c = -29 - 6
5c/5 = -35/5
c = -7
hence
C = -7.
To check or prove that your answer is correct, simply sustitute (-7) into the equation in place of C and if the result is -29 than its the correct answer.
•Check;
6 + 5 (-7) = ?
6 + (-35) = ?
6 - 35 = -29
Your answer is proved so C = -7
The value of equation 6+5c=-29 is c= -7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: 6+5c=-29
Solving the equation for c
6+5c=-29
Subtract 6 from both side
6 + 5c - 6 = -29 - 6
5c = -35
Divide both side by (5) we get
5c / 5 = -35 /5
c= -7
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For this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. Consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 The mean of the data set is , and the sample proportion of numbers less than the mean is .
Answers
The mean of the data set is 22.1 , and the sample proportion of numbers less than the mean is 0.53
Explanation:
.
1) Mean
Formula: mean = sum of values / number of data
sum of values = 25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6 = 331.5
number of data = 15
mean = 331.5 / 15 = 22.10
2) proportion of numbers less than the mean
This is easier if you order the data. These are the data in growing order:
15.3
17.9
18.2
18.2
19.6
20.2
20.7
21.4
---------
22.6
24.3
25.5
26
26.1
27
28.5
The discontinues line shows the split of the data that are less than the mean.
Those are 8 numbers less than 22.1 and the proportion is:
8 / 15 = 0.53
Answer:
Step-by-step explanation:
this is it
A video game system that normally sells for $249 is on sale for 15% off
Answers
249 x 0.15 = $37.35 ( amount of discount)
249 - 37.35 = $211.65 ( sale price )
25 points need help ASAP!!!
Answers
The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank
Answers
You can fill 4 gas tanks of 5 L capacity from a full 20 L gas tank.
A triangle has an area of 1102 m², and two of the sides of the triangle have lengths 60 m and 56 m. find the angle included by these two sides.
Answers
1102 m^2 = (1/2)*(60 m)*(56 m)*sin(C)
2*1102/(60*56) = 551/840 = sin(C)
C = arcsin(551/840) ≈ 41°
in 56 years, kevin will be 9 times as old as he is right now. how old is he right now?
Answers
This is because
m + 56 = 9m
9m – m = 56
56/8
7
56+9A
A=7
he will be 7 years old he is pretty old
Mark has a bag containing a mixture of 30 green and white marbles. Without looking, he guesses that half of the marbles in the bag are green. He randomly selected 1 marble from the bag, recorded the color, and returned the marble to the bag. After 15 trials, Mark has drawn 10 green marbles and 5 white marbles. Which of the conclusions below is BEST supported by his data?
The bag contains more white than green marbles.
The bag contains 10 green marbles and 20 white marbles.
The bag contains an equal amount of each color.
The bag contains more green than white marbles.
Answers
A party size bag of tortilla normally coast 3.80. the supermarket has them on sale today for 2.25. what is the percentage of the discount
Answers
.. = (2.25/3.80 -1)*100%
.. = (0.5921 -1)*100%
.. = -0.4079*100%
.. = -40.79%
The discount is about 41% from the regular price.
You are a lab technician and it takes you 1 hour 30 minutes to complete a lab test. At this rate, how many hours would it take you to complete 5 of the lab tests?
Answers
In need of some help please.
Answers
https://brainly.com/question/9168336
Me. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?
Answers
Please SOMEONE help me on this asap!!!
BRAinliEST AVAILABLE TO CORRECT ANSWER
Options from the 1st blank:
Less than, greater than, or the same as
Options for 2nd blank:
Greater than, the same as, less than
Answers
y- int of the function p is -2 (one more) the y-int of the function q
What choices there are, then I can answer more exactly
[tex] { \frac{2}{5} }^{x} - 3[/tex]
it doesn't need to be perfect but there are two
things to keep in mind
first: -3 lowers our graph by three points in the y axis
second: in:
[tex] { \frac{a}{b} }^{x} [/tex]
the bigger a/b is the wider the graph is thereful our graph isn't that big. if you want a better mental picture think of it as the miniature version of q(x). now that we know how p(x) looks like lets answer the questions
1st blank:
greater than
2nd blank:
greater than
y = 2x2 - 3x - 20?
A) x = -5 and 2
B) x = 5 and -2
C) x = -2.5 and 4
D) x = 2.5 and -4
Answers
40
2 20
4 10
5 8
2x² - 8x 5x - 20
2x(x - 4) 5(x - 4)
(2x + 5) (x - 4)
2x + 5 = 0 x - 4 = 0
2x = -5 x = 4
x = -5/2
C) x = -2.5 and 4
Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be Tim’s PIN? A. 1 6,561 B. 1 5,040 C. 10,000 D.1 10,000
Answers
Answer:
1/10000
Step-by-step explanation:
There are 10 choices for each of the 4 digits. This means the total number of choices for the PIN are
10(10)(10)(10) = 10000
The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is
What are digits?
A numerical digit is a single symbol used alone or in combinations, to represent numbers in a positional numeral system.
The name "digit" comes from the fact that the ten digits of the hands correspond to the ten symbols of the common base [tex]10[/tex] numeral system, i.e. the decimal digits.
From the given information,
We have [tex]10[/tex] choices for each of the four digits.
This means that the total number of choices for the PIN is:-
[tex]10(10)(10)(10) = 10000[/tex]
The number [tex]1234[/tex] will only appear one time in this list which makes the probability of the form Tim's PIN [tex]\frac{1}{10000}[/tex].
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is [tex]\frac{1}{10000}[/tex].
To know more about digits
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Please help asap! 44 pts (:
Answers
Answer choice A is wrong because y-y^1=m(x-x^1) remember, you cannot subtract a negative so it becomes posotive which means that answer choice C is your best bet
Have a nice day!
Help why did I get this wrong? Corrections!!! Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Answers
The line is g(x) = 2x
Use www.cymath.com and enter the following line and press enter.
graph y = 2x^2 + 1; y = 2x
You will see that the line passes through the origin (0, 0), and goes up to the right and stays to the right of the parabola, so the two graphs do not intersect.
what is (-5.62x - 0.8) + (1.12+ 1.4x)
Answers
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. table What is the total amount she earned over these three days?
Answers
Answer:
614
Step-by-step explanation:
614 can also look like this ^!$ if you hold down caps.
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
What is the total amount she earned over these three days?
$ 614
Got it correct.
Hope it helps
x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)
Answers
hope it helps!!
Answer: The correct answer is (1,-1).
Explanation:
The given equations are,
[tex]x-2y=3[/tex] ..... (1)
[tex]5x+3y=2[/tex] ..... (2)
Use elimination method to solve the equations.
Multiply equation (1) by 5.
[tex]5(x-2y)=5(3)[/tex]
[tex]5x-10y=15[/tex] ..... (3)
Subtract equation (3) from equation (2).
[tex]5x+3y-(5x-10y)=2-15[/tex]
[tex]5x+3y-5x+10y=-13[/tex]
[tex]13y=-13[/tex]
[tex]y=-1[/tex]
The y-coordinate is -1.
Put y=-1 in equation (1).
[tex]x-2(-1)=3[/tex]
[tex]x+2=3[/tex]
[tex]x=3-2[/tex]
[tex]x=1[/tex]
The x-coordinate is 1.
Therefore the intersection point is (1,-1).
Cory has a square piece of wood that is 4.5 feet by 4.5 feet. He wants to make a circular tabletop out of it. What is the area of the largest circle that he can cut out of the wood? Round to the nearest tenth.
Answers
The area of the largest circle is 15.9 feet^2
what is area ?
The area is the amount of space within the perimeter of a 2 D shape. It is measured in square units, such as cm², m², etc.
formula used to find the area is :
A = π r^2
Given : diameter = 4.5 feet
r = d/2
⇒ 4.5 / 2
⇒ 2.25
r = 2.25
A = π × (2.25)^2
A = 3.14 × 5.0625
A = 15.89625 feet^2
round to nearest tenth is :
A = 15.9 feet ^2
Hence , the area of the largest circle is 15.9 feet ^2
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PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?
Answers
YES it is VALID.
Explanation.
In 3 dimension, it can be seen that a sphere is a round solid. It is a round object where the distance from the centre to every point on the surface is equal.
Tabitha says that a sphere is a set of all points equidistant from a single point. This single point must be the centre of the sphere for that definition to be true. This definition is correct.
Answer: Yes, Talid's definition is valid.
Step-by-step explanation:
Definition of sphere:- In geometry , a sphere is a perfectly round three-dimensional shape . It is defined as the set of points that are all at the same distance which is known as radius from a given point in a 3-dimensional space. Talid's definition:- A sphere as the set of all points equidistant from a single point.
Hence, Talid's definition is valid.
What is the angle of 135 degrees equal to in radian measure? Show all work.
Answers
135= x
than cross multiply this to find the value of x
U'll get 3/4pi
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 11.5 and 23.6
Answers
.. 23.6 -11.5 = 12.1
The longest the third side can be is the sum of the other two sides:
.. 23.6 +11.5 = 35.1
12.1 < third side < 35.1
Final answer:
To determine the range for the length of the third side of a triangle with side lengths 11.5 and 23.6, we apply the triangle inequality theorem which tells us that the third side must be greater than 12.1 and less than 35.1.
Explanation:
To find the range for the length of the third side of a triangle when given the lengths of two sides, one must use the triangle inequality theorem. This theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides but greater than the absolute difference between these lengths. Given the side lengths of 11.5 and 23.6, the inequalities would be:
The length of the third side must be greater than the absolute difference between 23.6 and 11.5, which is 12.1. Therefore, the third side > 12.1.The length of the third side must also be less than the sum of 23.6 and 11.5, which is 35.1. Therefore, third side < 35.1.Combining these inequalities gives us the range: 12.1 < third side < 35.1.
The pentagons JKLMN and PQRST are similar find the length x of TP
Answers
Answer:
the answer is 2.8 assuming you had the same messurments and questions as me
Step-by-step explanation:
Marvin and some of his classmates are painting their classroom at school. They only have gallon of paint left. How much of the paint will each person get if Marvin and 4 of his classmates share the paint equally?