If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given scenario, then find measurement of the central angle AOB
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Answer:
The measurement of the central angle AOB is 45 degrees
Step-by-step explanation:
To solve this problem, we will have to work with fractions.
We will get the fraction of area the shaded portion is when compared to the whole garden.
First of all, we will need to calculate the area of the garden which is \(\pi r^{2}\)
in this case, our radius is 8 inches.
Next, we will compare the area of the sector to the area of the garden. This will be
This will be the shaded area/ area of the whole garden
= \(\frac{8\pi}{\pi8^{2}}\)
\(=\frac{1}{8}\)
We will now convert this ratio to an angle by multiplying it by 360 degrees.
This will be:
\(\frac{1}{8}\times 360 = 45 degrees\)
The measurement of the central angle AOB is 45 degrees
Related Questions
PPPPPPPPPPPPlease help me
Answers
Answer:
1/7 divided by 5/2
= 1/7 x 2/5
= 2/35
2/35 is the answer
Step-by-step explanation:
Question 7(Multiple Choice Worth 5 points)
(05.01 LC)
Which equation can be used to calculate the area of the shaded triangle in the figure below?
[ image ]
A // 2(12 + 4) = 32
B // fraction 1 over 2(12 + 4) = 8
C // 2(12 × 4) = 96
D // fraction 1 over 2(12 × 4) = 24
Answers
Answer:
D
Step-by-step explanation:
Area of the triangle is (12 x 4)/2 = 12 x 4 x 1/2 = 24
D
step by step
Luis is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches × 13
1
3
inches. He needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Luis need for his project?
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Answer: 356 total square inches
Step-by-step explanation: (12*13)+(10*10)=156+100=356 square inches
Help MEEEEEE Please Last Day
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i hope this helps and sorry if i’m wrong
ASAP PLS I NEED IT AND TY
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When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
Stephen and Jahmya are having lunch. Stephen buys a garden salad, a veggie burger, and lemonade. Jahmya buys a fruit salad, a toasted cheese sandwich, and a bottle of water. Whose lunch cost more? How much more?
Answers
Answer:
2.29 +4.75+1.29 = 8.33
8.87 - 8.33 = 0.54
Jahmya : 0.54 more
goodluck! have a good day/night
Help me save my life from this terrifying math problem
Answers
....................
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Answer:
?
Step-by-step explanation:
For five days, Diego recorded the lengths, in minutes, of his walk to school. The mean for his data is 11 minutes. Determine which data set below is Diego’s, and prove that your choice is correct.
Answers
Data Set A: 9, 11, 13, 10, 12
Data Set B: 8, 10, 12, 14, 16
Data Set C: 10, 10, 10, 10, 10
Data Set D: 11, 11, 11, 11, 11
To find the mean, we sum up all the values in each data set and divide by the number of values:
Data Set A: (9 + 11 + 13 + 10 + 12) / 5 = 11 minutes
Data Set B: (8 + 10 + 12 + 14 + 16) / 5 = 12 minutes
Data Set C: (10 + 10 + 10 + 10 + 10) / 5 = 10 minutes
Data Set D: (11 + 11 + 11 + 11 + 11) / 5 = 11 minutes
Comparing the mean of each data set to 11 minutes, we can see that only Data Set A and Data Set D have a mean of 11 minutes. However, to prove that our choice is correct, we need to analyze the individual values in the data set.
In Data Set A, we can observe that the values are relatively close to 11 minutes, with some values slightly above and below. This variation suggests a realistic scenario where Diego's walk to school might take slightly different amounts of time each day.
In Data Set D, all the values are exactly 11 minutes. While it is not impossible for Diego's walk to consistently take exactly 11 minutes each day, it seems less likely than having some variation in the durations.
Based on these observations, we can conclude that the most plausible data set for Diego is:
Data Set A: 9, 11, 13, 10, 12
This data set has a mean of 11 minutes and exhibits a realistic variation in walk durations, making it the most likely choice for Diego's recorded lengths.
i dont understand this
Answers
Answer:
you should use pythagorus theoram
h square=b square plus p square
PLEASE WILL GIVE BRAINLIEST Aisha combined 3/8 cups of flour and 3/5 cups of flour. She concluded that she had an 18/40 cup of flour. Is her answer reasonable? Explain...(This is where you come in) NEED A FRACTION NOT A NUMBER!!
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no...her answer is not reasonable.....she would have more then twice as much as her conclusion of 18/40
Answer:3/8 + 3/5 = 15/40 + 24/40 = this 39/40
no...her answer is not reasonable.....she would have more then twice as much as her conclusion of 18/40
Step-by-step explanation:
Help please!!!! ASAP WILL MARK BRAINLIST IF REALLY FAST
Answers
Answer:
1. Product
2. Difference
3. Difference
Step-by-step explanation:
:)
50 points!!! The following box plot shows the number of hours students have spent on math this week. What information can you get from this?
1)The median number of hours spent on Math was about 3.
2)The mean number of hours spend on Math was about 3.
3)All students spent between 1.875 and 3.75 hours on Math.
4)No students spent less than 1.875 hours on Math
Answers
Answer:1 i think
Step-by-step explanation:
Answer: 1)The median number of hours spent on Math was about 3.
If a cylinder has a volume of 226.2 cubic centimeters and a radius of 3 centimeters, what is the height of the cylinder, in centimeters? Use π≈3.14. Round your answer to the nearest whole, if needed.
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226.2 = (3.14) (3)^2 h
226.2 = (3.14) (9) h
226.2 = 28.26 h
226.2 = 28.26 h divided by 28.26
226.2 divided by 28.26 = h
8 = h
16 divided by 8 = ? What the answer
Answers
Step-by-step explanation:
16/8
= 2 × 2 × 2 × 2 ÷ 2 × 2 × 2
= 2
Answer:
2
Step-by-step explanation:
2*2*2*2/2*2*2
=2
The graph represents the piecewise function: f(x) = What is the domain and range of the function? Domain: Range:
Answers
Answer:
domain: All real numbers
Range: all real numbers greater than or equal to 0
Step-by-step explanation:
Edge 2020
Answer:
Domain: all reall numbers
Range: all real numbers greater than or equal to 0
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
multiply and put the product in simplest form: 1/5 times 2/3
Answers
hi please help sdijfsagg
Answers
Answer:
The given point is not on the line.
Step-by-step explanation:
3 represents x
3 represents y
1. Plug in the numbers to x and y variables
y= \(-\frac{2}{3}\) x + 1
3= \(-\frac{2}{3}\) (3) + 1
2. Cancel out the greatest common factor
3=-2+1
3. Solve
3=-1
If the numbers do not equal each other, then the equality is false.
Step-by-step explanation: 1. Plug in the numbers to x and y variablesy= x + 13= (3) + 1
2. Cancel out the greatest common factor 3=-2+13. Solve3=-1
A championship swimmer swims 20 meters in 10 seconds. What is his speed?
200 m/s
0.5 m/s
20 m/s
2.0 m/s
Answers
Step-by-step explanation:
Solution,
We know that speed is the rate of distance covered,
Therefore,
Speed=20/10
=2
=2.0 m/s
Hence, last option is correct.
Step1: 20 divided by 10 which is 2
Step2(check): A/B = C.....C x B = A...so if we multiply our answer(2) with the divisor(10) and it equals our divident(20) we are correct...and because 10 x 2 is 20 we know that 2 is indeed the answer of 20/10
Note: 2 and 2.0 are equal as 0 has no value in this case...
I'm taking a practice SSAT test, and I need help on how to solve this....
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Help me understand this please :’)
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What this wants you to do is to write the prefix of the shape, then the meaning of the prefix, then the polygon's name. then I believe the last column is asking for a drawing of the shape, I could be wrong.
Example: Triangle
Prefix: Tri
Meaning: three
Polygon Name: Triangle
Figures:
Answer:
and remember only answer the first there columns.
Step-by-step explanation:
1. you have to find out the prefixes of the polygons, then you have to the meaning of each sides/ give the number of the sides then give the names of the polygons.
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game
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Answer:
Part A:
Bowler World: c=$1.10g+$5.00
Lucky Spares: c=$1.50g+$3.00
Part B: Cost would be equal after 5 games at $10.50
1. Refer to the equation 4x + 3y = 12 (a) Create a table of values for at least 4 points. Show your work. (b) Use the table of values to graph the line. Answer:
Answers
Answer:
Step-by-step explanation:4x-3y=12
First pair (0,?)
4(0)-3y=12
-3y=12
Y = 12/-3
Y= -4
So first pair is (0, -4)
Second pair (?,0)
4x-3(0)=12
4x=12
X= 12/4
X= 3
Do same for rest .
Your table should be
X ,Y
(0,-4)
(3,0)
(-3,-8)
(3/4,-3)
Answer: I think it’s A. If it’s like one of the pick one-
Step-by-step explanation: I hope I’m right and I hope this is right! And happy new yrs!!!
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Please help asap♡!
Answers
Answer:2x+2y+10 is your answer
pls give brainiest
Step-by-step explanation:
HII PLEASE HELPPP ITS MATH I GIBE BRAINLISYT
Answers
Answer:
B.) 22/7
Step-by-step explanation:
I'd say this because if you imagine 21/7, you'd get 3. Therefore, it wouldn't make much of a difference if you divided 22/7.
heeeeeeeeeeeeeeeeelp me
Answers
help please i will give a brainist
Answers
Answer:
4 apples/ second
28800 apples in 2 hours
Step-by-step explanation:
20 apples / 5 seconds
Divide the top and bottom by 5
4 apples/ second
A few hours is 2 or 3
There are 3600 seconds in 1 hour
4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour
14400 apples/ hour
14400apples / hour * 2 hours
28800 apples in 2 hours
Answer:
4 apples per second; about 14400-43200 apples
Step-by-step explanation:
First, to find the unit rate, you need to divide the number of apples with the number of seconds...
20/5= 4 apples per second
Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...
(4)(3600) = 14400 apples
(4)(10800) = 43200 apples
And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)
What is the constant of proportionality of
1. y=2.0+ 0.5x
2.y=75x
3.y=55x
4.y=320-15x
5. y= 15/60 x+30
6.y=2.25
7.y=5x+3
8.y=3-0.6x
9.y=15+ 1/2x
10.y=65x
Thank you, no fake answers or links.
please do at least 5 .-.
Answers
Answer:
I couldn’t add all my solotions but u can make another question so I can give it to u
Step-by-step explanation:
But this are just the graph tell me if u need solutions
