Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.
A. 4/7 radians
B. 7/π radians
C. 7/4 radians
D. 7 π/4 radians

Answers

Answer 1

Answer:

\(\theta=\dfrac{7}{4}\ \text{radian}\)

Step-by-step explanation:

We have,

Radius of the circle is 12 cm

Arc length, l = 21 cm

It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :

\(l=r\times \theta\)

\(\theta\) is central angle

\(\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}\)

So, the angle at the centre of the circle is \(\dfrac{7}{4}\ \text{radian}\).


Related Questions

Maya decides to use the method of proportions and similar triangles
to find the height of a tower. She measures the length of the tower's
shadow and finds it is 20 feet long. Then she holds a 12-inch ruler
perpendicular to the ground and finds that it casts a 4-inch shadow.
How tall is the tower?
a. 2.4 ft c. 60 ft
b. 5 ft d. 240 f

Answers

C. 60ft if you want step by step explanation let me know
C
I think hope it’s right

Please help!!!




(7x^5y^7)^2 / 7x^2y^3

Answers

For simplify the expression: 7x^8y^11
Find the excluded values: x=0 y=0

help me with this topic pls thanks
i only need help with part A.) part B.) and part C.)

help me with this topic pls thanksi only need help with part A.) part B.) and part C.)

Answers

Answer:

I can 't and see the question, Pls send it again.

a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?

Answers

C(7, 4) = 7! / (4!(7-4)!) = (7 * 6 * 5) / (3 * 2 * 1) = 35

and

C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Multiply these two combinations since the faculty members and students are selected independently:

Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045

Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
To determine the number of ways to form the committee with 4 faculty members and 5 students, we need to calculate the combinations of faculty members and students separately and then multiply them together.

For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:

C(7, 4) = 7! / (4!(7 - 4)!) = 35.

So, there are 35 ways to select 4 faculty members from the 7 eligible ones.

For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:

C(13, 5) = 13! / (5!(13 - 5)!) = 1287.

Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.

To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:

35 * 1287 = 44,895.

Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.

1. A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?​

Answers

Answer:

72

Step-by-step explanation:

First, we will multiply the number of posts (7) by the posts' width (6) to get 42.

Since there is a chain between each post, there are 6 chains.

Multiplying the number of chains (6) by the chains' length (5), we get 30.

The question asks us to find the total length of the fence, so we add 42 and 30 and get 72.

Hope this helps!

what does the word "percent" means? What does per means? and what does cent means?

Answers

Percent means how much of something, for example 3 is 60 percent of 5, per depends on how you use it, and cent is a form of money.
Percent is the amount of something and per means the one like miles per hour and Cent means money like 1 cent

Select all pairs of supplementary angles in the diagram.





BAF and AFB
BAF and AFB

ABF and DCE
ABF and DCE

CDE and DEC
CDE and DEC

CEF and AFB
CEF and AFB

BAF and DEC
BAF and DEC

FBC and BFE
FBC and BFE

BCE and CEF
BCE and CEF

BCE and BAF

Select all pairs of supplementary angles in the diagram.BAF and AFBBAF and AFBABF and DCEABF and DCECDE

Answers

In the given figure angle CBF and angle CEF are supplementary angles. So Option C is correct.

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Given that,

A figure which contains one trapezium BCEF

And in this portion angle CBF and angle BCE are  opposite angles

and opposite angles are supplementary angles,

Hence, the pairs of angles are ∠CBF & ∠CEF

Answer: BAF and AFB, CDE and DEC, CEF and AFB

Step-by-step explanation:

What are similarities between scalene triangles, isosceles triangles, and equilateral triangles?

Answers

Answer:

THEY ARE ALL TRIANGLES, all have an measure to 180 degree, all have angles ;)

Step-by-step explanation:

SCALENE ALL DIFFER IN SIZE

ISOCLES 2 ARE SAME

EQUALATREAL EQUAL

An equilateral triangle has all sides equal and each interior angle is equal to 60°. An isosceles triangle has two equal sides and the angles opposite the equal sides are equal. A scalene triangle has no sides equal. A right-angled triangle has a right angle (90°).

What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters​ long, 6.6 centimeters​ wide, and 6 centimeters​ tall?

Answers

Answer:

Step-by-step explanation:

3.1313109

Answer: the answer should equal 3.131

Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.

Please got brainliest

Questions to ask when comparing and using algebra tiles, Adding and subtracting integers

Answers

Answer:

i dont understand the question?

Step-by-step explanation:

Westin performed an experiment in which he randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. He did this 36 times, and 9 of those times he pulled a purple marble.

Which bags of marbles are good models for this experiment?

Select two that apply.

A ) 4 purple, 5 blue, 2 green, 1 red

B ) 4 purple, 5 blue, 2 green, 1 red

C ) 9 purple, 9 red, 9 green

D ) 9 purple, 9 red, 9 green

E ) 1 purple, 1 blue, 1 green, 1 red

F ) 1 purple, 1 blue, 1 green, 1 red

G ) 4 purple, 4 blue, 4 yellow, 4 orange

Answers

Answer:

Step-by-step explanation:

Based on the experiment, 9 times he pulled a purple marble out of the 36 trials.

That means he has a 1/4 probability of pulling a purple marble

This means that the purple marble ideally makes up one-quarter of the total marble in the bag.

Choice G and F satisfy the condition as stated above.

Hope that helps!

G) 4 purple, 4 blue, 4 yellow, 4 orange

lets evaluate 81^-3/4.

Answers

Answer:

1/ 27

Step-by-step explanation:

\( = 81^{ \frac{-3}{4} } \)

\( = (\frac{1}{81}) ^{ \frac{3}{4} } \)

\( = (\frac{1}{3}) ^3 \)

\( = \frac{1}{27} \)

1/27 because that the answer

please help 14 points

please help 14 points

Answers

Answer:40

Step-by-step explanation:

Answer:

63 \(m^{2}\)

Step-by-step explanation:

If you cut up the shape in to vertical shapes, the rectangle on the right and left have the equation 8 times 3 is 24. So we add 24 and 24 to get 48. The center is a little more difficult. the length is 3 and the height is 8 minus three, which come out to 5. 3 times 5 is 15. 48 plus 15 is 63, therefore your answer is 63.

∠1 ​ and ∠2 are supplementary.


m∠1=124°
m∠2=(2x+4)°


What is the value of x?


Options:


13


26


40


36


41

Answers

Answer:26

Step-by-step explanation:Since angles 1 and 2 are supplementary, it follows that there sum is 180°.

On this note;

Sum of 1 and 2 is;

180 = 124 + (2x + 4)°

(2x + 4)° = 180 -124

2x = 56 -4

2x = 52

x = 26°.

A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12 and one-third feet per minute for 4.5 minutes. Which of the following numerical expressions represents the final depth of the diver?
200 + 12 and one-third(4.5)
200 – 12 and one-third(4.5)
–200 + 12 and one-third(4.5)
–200 – 12 and one-third(4.5)

how would you figure this out?

Answers

Answer:

-200+12 and one-third(4.5)

Step-by-step explanation:

Firstly, it can't be one of the first 2 answers because we go down by 200ft. Then, we know it can't be the last option because we gain 12 and 1/3 ft per minute. Therefore, it must be the third option.

I need help, please quickly

I need help, please quickly

Answers

Answer: The ratio is 18:3

Step-by-step explanation:

Answer:  6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Which division problem does the number line below best illustrate?

A number line going from 0 to 2 in increments of 0.2.

1. 2 divided by one-fifth = 10
2. 1 divided by one-fifth = 10
3. 2 divided by one-tenth = 5
4. 1 divided by one-tenth = 5

Which division problem does the number line below best illustrate?A number line going from 0 to 2 in

Answers

Answer. Number one i think.

Answer:

The answer is 1, 2 divided by one fifth.

Step-by-step explanation:

1/5 is 2/10 simplified and it's meeting at 2 therefore, the first option is correct.

How can you rewrite the number 1 as 10 to a power?
How can you rewrite the number 1 as 2 to a power?

Answers

Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

10 raised to the 0 (10^0) and 2 raised to the 0 (2^0)

2 1/4 ÷( 3/8 ÷ 1/2 ) help

Answers

Hi there!

~

\(2 \frac{1}{4} \div ( \frac{3}{8} \div \frac{1}{2} )\)

\(= 3\)

Hope this helped you!

Answer:

1 11/16

Step-by-step explanation:

Solve the given equation.

m/18 = 3

Answers

Answer:

its 6

Step-by-step explanation:

Answer:

m=54

Step-by-step explanation:

you multiply 18 and 3

Could any one say for me the volume and the surface for "Pyramid, Cone and Sphere"
Plz help!!
Who will answer will be the *"Brainliest"*

Thank u

Answers

Answer:

Pyramid: In fact, the volume of any pyramid is one-third the area of the base times the height. Finding the surface area of a pyramid is done by first finding the area of the base and the area of each lateral face. … Lastly, the surface area of a pyramid is the sum of the area of the base and the lateral area!

Cone: a volume of 4 3 π r 3 \frac{4}{3} \pi r^3 34πr3 and a surface area of 4 π r 2 4 \pi r^2 4πr2.

Sphere: A cone is essentially a pyramid with a circular base. The volume of a pyramid is given by Vpyramid=Abase⋅h3. Since the area of the base of a cone is πr2, the formula for the volume of a cone is Vcone=πr2h3.

need help on this one

need help on this one

Answers

Answer:

Repeating

Repeating

Non-Repeating

repeating

Step-by-step explanation:

1. Repeating
2. Repeating
3. Non-repeating
4. Repeating

Which layer of the earth is responsible for continental and oceanic plate movement?
(I know this is in the wrong category, I could not find the right one.)

A. crust

B. mantle

C. inner core

D. outer core

Answers

The answer is the earths crust

Answer: B. Mantle

Step-by-step explanation:

I just couldn't pass up answering this question. I think the earth is very interesting.

The Earth's mantle is a thick layer of hot, flowing rock that lies beneath the crust. Convection currents within the mantle are responsible for the movement of the Earth's tectonic plates, which make up the continents and the ocean floor. As the mantle convects, it drags the plates along with it, causing them to move and interact with each other at their boundaries. This movement is responsible for many geological phenomena, including earthquakes, volcanoes, and the formation of mountain ranges.

PLSSS help me, i will mark BRAINLIEST!!!

PLSSS help me, i will mark BRAINLIEST!!!

Answers

Answer:

Hi!,

The Answer should be 4

Step-by-step explanation:

1. First divide 2 by 3

2. Calculate the power 5²

3. =10/3

4. = 2/3 + 10/3

5. = 4

(TO add fractions, find the LCD and then combine)

LCD--"Least Common Denominator"

ANSWER: 4

PLSSS help me, i will mark BRAINLIEST!!!
I believe the answer is 4

How do you get the numbers 14 and 18 by only using 4? *and PEMDAS

ex equation : (4 + 4) / (4 + 4) = 1

Please use the selected number (4) at least four times or more. Thank you!

Answers

Ok so you would add 10 to 4
To get 14 and add the 2 4s together to get 8 and then add 10
14: 4 + 4 + 4 + sqrt4
18: 4 (4) + 4 - sqrt4

Hopefully square roots are okay!

The line plot shows the heights of several students. Students Height (feet) Based on the plot, which two statements are correct? Responses A The difference in height between the tallest student and the shortest student is foot.The difference in height between the tallest student and the shortest student is Image with alt text: foot. B The combined heights of the students is feet.The combined heights of the students is Image with alt text: feet. C The plot shows the heights of students.The plot shows the heights of Image with alt text: students. D The combined heights of the students is feet.The combined heights of the students is Image with alt text: feet. E The difference in height between the tallest student and the shortest student is foot.

The line plot shows the heights of several students. Students Height (feet) Based on the plot, which
The line plot shows the heights of several students. Students Height (feet) Based on the plot, which

Answers

Answer: B

Step-by-step explanation: The combined height is 36'.

3 times 4.25= 12.75.

2 times 4.50 = 9.

and 3 times 4.75 = 14.25.

12.75+9=21.75.

21.75+14.25=36

So, your answer is B.

Answer: A

I think I might of messed up but I tried...

does anyone know how to get more points in khan academy mastery challenge??

Answers

Answer:

I would say getting all the them right.

Step-by-step explanation:

There isn't really a way to get more points unless you're getting the questions all correct- So I would say just grind those points!

Answer:

just be smart

Step-by-step explanation:

Sorry for another one! WILL GIVE BRAINLIEST!! DUE TODAY! Help please

Sorry for another one! WILL GIVE BRAINLIEST!! DUE TODAY! Help please

Answers

Answer:

1.5 or 6/4

Step-by-step explanation:

y=1.5x+2

or

y=6/4x+2

6/4 is the slope! hope this helps!

Samuel correctly determines the product by applying the distributive property. What is Samuel's answer?

Samuel correctly determines the product by applying the distributive property. What is Samuel's answer?

Answers

The answer is -75.
1. Convert the mixed fraction into an improper fraction. 6 x 4 is 24+1=25 and you keep the denominator. Thus it would be -12 x 25/4.
2. Cancel out the common factor. 12 and 4 are both divisible by 4. -12 divided by 4 is -3, and the four would cancel out.
3. We are left with -3 x 25 which would be -75, because a negative integer multiplied by a positive integer is negative.
Hope that helps. :)

Answer: -75

Step-by-step explanation:

Pls help me in math, I need this tomorrow, thx :)

Pls help me in math, I need this tomorrow, thx :)
Pls help me in math, I need this tomorrow, thx :)

Answers

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

Two sets of data, set X and set Y are given

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

Therefore, both the data sets has same range and mean.

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.  

To learn more about S.D and variance,

https://brainly.com/question/15858152

https://brainly.com/question/12402189

Answer: Range and mean = 8 of both

variance of Set X= 4.7

variance of Set Y= 4.6

Step-by-step explanation:

We know

a.) Range is the difference of the highest value and the lowest value,

Therefore, Range of set X = 12-4=8

Range of set Y = 12-4=8

Now, Mean of a given data set is the average of all the terms present in the given data set

Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8

Mean of set Y= (4+5+7+32+20+12)/10= 8

also

b.) Standard deviation tells about the variability of the date and is given by,

S.D= σ = √∑ ( X − μ )^2/n

S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7

S.D of set Y= √(16+9+1+0+4+16)/10= √4.6

Variance is the square of S.D, that is, σ^2

Therefore, variance of set X=4.6

variance of set Y= 4.7

c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.

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