Determine the length of the arc that subtends an angle of 2.8 radians at the centre of a circle with a radius 12cm.
A. 13.3 cm
B. 33.6 cm
C. 16.8 cm
D. 148.0 cm
Answers
Answer:
B. 33.6 cm
Step-by-step explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm
Related Questions
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
A right circular cylindrical tin of baking powder is 4 inches tall. The radius of the base is 1 inch. What is the surface area of the tin, in terms of pi? SA =
π in.2
Answers
Answer:
SA = 10\(\pi\) in²
Step-by-step explanation:
Formula to find the surface area of a cylinder is,
\(2\pi r(r+h)\)
Given that,
\(r = 1 \\h=4\)
Let,s solve now
\(2\pi r(r+h)\\2\pi *1(1+4)\\2\pi (5)\\(10\pi) in^{2}\)
Hope this helps you.
Let me know if you have any other questions :-)
1/2(8a+200b)
Is the answer 4a+100b?
Answers
Answer:
you are correct it is, 4a+100b
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
When you distribute the 1/2 into the 8a and 200b they turn to 4a and 100b.
Pls help due in 30 mins
Answers
Answer:
1. is 151 degrees
2. 45 degrees
3. M<G is 63 degrees
M<H is 27 degrees
14. 90 degrees
13. 36 degrees
Step-by-step explanation:
I hope that helped :)
slope 2
.........................................................
screenshot 1: question
screenshot 2: answer options
thx
Answers
Answer:
A/m=-2. since x goes up by 2 on the table, y decreases by 4 on the table, but if the next part of x on the table was 6, then y would be -2.
anyone know this need asap
Answers
Answer: y=x-20
Step-by-step explanation:
(90,70) will be x1,y2. (30,10) will be x1,y1. Put these values into the slope formula, which is y2-y1/x2-x1. 70-10/90-30. 60/60=1. The slope is 1. Now to find the slope-intercept equation, use point slope form which is y-y1=m(x-x1). y-10=1(x-30). Distribute the 1 to the terms in the parenthesis. y-10=x-30. Add 10 to both sides to eliminate 10. y-10+10=x-30+10. y=x-20.
whoever gives the best explanation of how to solve 102+392 gets brainliest, 5 star rating, ty on profile and one question
whoever loses gets one star rating
Answers
Answer:
102 + 392 is 494
Hope it helps! :)
Step-by-step explanation:
Answer:
102+392=494
Step-by-step explanation:
1+3=4 102
0+9=9 +
2+2=4 392
---------
4
90
400
100+100+100+100+10+10+10+10+10+10+10+10+10+4
200+200+20+20+20+20+10+4
400+40+40+14
400+80+14
480+14
480+10+4
490+4
=494
use the table to preict the number of times you will spin 6 when you spin the spinner 100 times numbers spun: 1, 2, 3, 4, 5, 6 Times spun: 8, 6, 11, 7, 9, 9. you can predict that you will spin 6 ? times
Answers
Answer:
1/6% chance
Step-by-step explanation:
because you rolled 6 times and got six 1 time.
Answer:
1/6
Step-by-step explanation:
6
Word Problems (WITH EXPLANATION)
In the rectangle below, the line MN cuts the rectangle into two regions. Find x, the length of segment NB, so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.
Answers
The length of segment NB is 0.833
Finding x, the length of segment NBFrom the question, we have the following parameters that can be used in our computation:
The rectangle
The area of the rectangle is
Area = (20 + x) * 10
The area of MNBC is
Area = 1/2 * 10 * (x + 20 + x - 5)
Area = 5(2x + 15 )
The area of the quadrilateral MNBC is 40% of the total area of the rectangle
So, we have
5(2x + 15) = 40% * (20 + x) * 10
5(2x + 15) = 4* (20 + x)
When evaluated, we have
x = 0.833
Read more about area at
https://brainly.com/question/31752704
#SPJ1
Answer:
X=1
Step-by-step explanation:
The total area of the rectangle is 20x10=200
so the area of MNBC is: 40%x200=80
MC= 20-5=15
so (x+15).10/2=80 (according to the trapezoidal area formula)
x=1
so the answer is 1
To learn more about the Trapezoidal area formula
https://brainly.com/question/31395425?referrer=searchResults
The diameter of the cracker shown is 35 millimeters.
Which measurement is closest to the area of the cracker in square millimeters?
A 781.751 mm²781.751 mm²
B 109.9 mm²109.9 mm²
C 961.625 mm²961.625 mm²
D 54.95 mm²
Answers
C
Step-by-step explanation:
Diameter = 35 mm
Radius = 35 ÷ 2 = 17.5 mm
Area = pi × r² = pi × 17.5² = 962.112
The closest one is C
Which of the following verbal descriptions best represents the expression below?
75+10x
A. Ramon pays $75 for car insurance and $10 for his ride sharing metro card
B. Gabby pays $75 for her cell phone and $10 for each GB of data
C. Kendria pays $75 for her cable bill and $10 to rent the cable box
D. Mark pays $10 for a streaming service he has and $75 for internet service
Answers
Sorry if wrong
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
Answers
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0
Answers
Answer:
-7
Step-by-step explanation:
You use the quadratic formula of \(ax^{2} +bx+c = 0\) to get:
a = 1
b = 7
c = -13
then you plug that into x= (-b ± √b²-4ac)/(2a) :
x= ( -7 ± √7²- 4(1)(-13) )/(2(1))
\(x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}\)
The sum of these two x values turns out to be:
\(x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7\)
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answers
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
Is true artificial intelligence possible? Write a short essay and explain your opinion.
Answers
KSKSKSKSKSKSKSKSSKSKSK
Someone help me with this ASAP!!
Answers
Answer:
2.5, 14.75, Danny, 14 men
Step-by-step explanation:
5/8 + 11/12
Someone help me please and thank you.
Also please show work.
Answers
Answer:
1 13/24
Step-by-step explanation:
First we need to find the LCD (lowest common Denominator) which will be 24. When we multiply 8 x 3 = 24 we will also multiply 5 by 3 which equals 15. So 5/8 = 15/24. Then we multiply 12 x 2 = 24, and again we also multiply the numerator by the same number which is 11 x 2 = 22. So 11/12 = 22/24.
Now that we have the LCD then we can add up the two. So 15/24 + 22/24 = 37/24. Now we need to simplify that to 1 13/24. Thank you.
Can someone help me? lol..
Answers
I and my Brother are having a debate about this.
If someone was born in 2008 and another is born in 2011, How many years apart are they?
1.) 3 Years
2.) 2.5 Years
Answers
Answer:
They are 2 years apart!
2011-2008 = 3
PLEASE HELP!! NO WRONG ANSWERS <3
Answers
Answer:
bottom left
Step-by-step explanation:
Answer: bottom left one
Step-by-step explanation:
Solve the linear equation ¼ x + 18 = x. State the property that justifies your first step and why you chose it.
Please help
Answers
1/4x+18=x
First I multiplied both sides of the equation by 4 to get rid of the fraction(multiplication property of equality)
x+72=4x
Then I subtracted x from both sides(subtraction property of equality)
72=3x
After that you divide both sides by 3(division property of equality)
24=x
Finally, you swap 24 and x to get x=24(symmetric property of equality)
1. Carl makes a punch using the following recipe:
Give two other recipes that would taste exactly the same.
2. Look at the following recipes. Would each pair (a and b) taste the same? If not, which punch would taste more like plain juice? Use proportional reasoning, ratios, and graphs to help. Explain your reasoning for each.
Answers
Answer: 1 purple, 1 and a half green, and 4 purple and 6 green.
Step-by-step explanation:
I'm not sure exactly what the question is, but if I thought of it correctly then it should be correct.
Please help me answer.
Answers
Answer: First blank is 15 then 28 then 25 in the last blank.
Step-by-step explanation:
On the left side column it is going up by 5 and the right column is going up by 7.
And second column is 7,14,21,28,35
Which of the following is another way to express the difference between -5 and 8?
-5 - (-8)
-5 + 8
8 - 5
-5 + (-8)
Answers
Your banking account is -$1.56. You deposit $10. what is your new balance?
Answers
$8.44 I think I'm not sure
Answer:
8.44
Step-by-step explanation:
-1.56+10=??
?? = 8.44
I'm sorry i don't know how to explain it.
Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is 72 meters long. It is 24 millimeters long in the picture. What is the scale of the drawing?
1 millimeter : ___ meters
I'm sorry that there is no picture or drawing
Answers
Answer:
1 millimeter : 3 meters
Step-by-step explanation:
Divide 72/24 = 3
What does it mean to combine like terms?
Answers
Answer:
Combining like terms mean to solve those terms whose have same bases
Answer:
like terms would be like 15 and 24 or 5x and 3x.
as long as they don't have a different variable or on a different side of the = sign they are considered like terms.
3 and 5x are not like terms
5x and 5y are not like terms
ya get what im sayin