the length of an arc of a circle is 1/5 of its circumference. if the area of the circle is346.5cm²,find the angle subtended by the arc at the centre of the angle​

Answers

Answer 1

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°


Related Questions

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 312 Thick crust 245 Stuffed crust 179 Pan style 304

Answers

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]

[tex]\hat p = \frac{245}{312+245+179+304}[/tex]

[tex]\hat p = \frac{245}{1040}[/tex]

[tex]\hat p = 0.235577[/tex]

For the next 4500;

[tex]n = 4500[/tex]

The expected number of thick crust is (E(x)):

[tex]E(x) = \hat p * n[/tex]

[tex]E(x) = 0.235577 * 4500[/tex]

[tex]E(x) = 1060.0965[/tex]

[tex]E(x) \approx 1060[/tex]

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

it would be $1800

Step-by-step explanation:

if each hoop costs $600, and they buy 3, 600 x 3 = 1800

Answer:

1800

Step-by-step explanation:

600 * 3 = 1800

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

F(x)=h(x)-8

I think

Step-by-step explanation:

Amad collected 42 plates in February for a project he plans to make. He had collected a total of 91 plates by the end of March. Which equation can be used to find the number of plates Amad collected in March? A. 42 * p = 91 b. P - 91 = 42 c. 91 / p = 42 d. P + 42 = 91

Answers

Answer:

Option D: P + 42 = 91

Step-by-step explanation:

Plates collected in February = 42

Total Plates collected = 91

Plates in February + Plates in March = total plates

42 + P = 91 or

P + 42 = 91

If a population of 10,000 increases by 5% every year, how large will the population be in 5 years?

______________________________​

Answers

Answer:

10.500

Step-by-step explanation:

step by step explenation

The table below shows the score
Analisa and Luke earned on four science
projects.
Science Project Scores
Project Analisa Luke
95 90
2
81 84
3
76 95
4
88 91
5
2
?
Analisa and Luke worked on a fifth
science project together. They each
carned the same score on the project.
When the fifth score is included in the
table, Analisa's mean score does not
change
Which of the following statements
describes how Luke's mean score
changes when the fifth score is included
in the table?

Answers

Answer:

It increases by 2.5

Step-by-step explanation:

yeah

Mark hopes to one day earn $10,000. Estimate how
many clients Mark would need.

Answers

What is his average amount of money that he earns per day so then we can solve this problem.

which is the next leap year after to 2017​

Answers

Answer:

2020

Step-by-step explanation:

Answer:

2020  i think i hope it is the right answer for you

What is the percent of change? Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. $99 to $74

Answers

Answer:
The percent of change is -25.25252525 repeating percent, and it is a decrease

Explanation:
Where: 99 is the old value and 74 is the new value. In this case we have a negative change (decrease) of -25.25252525 percent because the new value is smaller than the old value.

What is the solution to the system of equations graphed below?

a. (2,-3)
b. (-3,2)
c. (-2,3)
d. (3,-2

plz help i’m in a timed test

Answers

Answer:

I believe it is (2, -3)

Explanation:

Because that’s where both lines cross, don’t quote me on this though.

How are youaefljsofjsnjvlsdnbvjklxfclkjmzlv

Answers

GOOD BUT ANYONE WANT TO HELP ME WITH MY HISTORY BEFORE I FAIL

identify the pattern then write the next three terms in each sequence 2,8,32,128​

Answers

Step-by-step explanation:

the difference is the previous term multiplied by 4 to get the next term

2,8,32,128,512,2048,8192

Hope that helps :)

Which is more, 8 yards or 24 feet?

Answers

Answer:

They are the same thing!

Step-by-step explanation:

8*3=24 (Because 1 yard is 3 feet)

24 = 24!

Answer:

8yd 24ft= 48ft 0.000000in

Step-by-step explanation:

please solve for x!!!

Answers

Answer:

x = 20

Step-by-step explanation:

The two angles are verticals angles and vertical angles are equal

7x -99 = 2x+1

Subtract 2x from each side

7x-99-2x =2x+1-2x

5x-99 =1

Add 99 to each side

5x-99+99 = 1+99

5x =100

Divide each side by 5

5x/5 =100/5

x = 20

Answer:

x=20

set them equal to eac hother

7x-99=2x+1

-2x+99-2x+99

---------------------

5x=100

---- ------

5 5

x=20

It is 1/2 mile from the students home to a store and back. In a week, she walked to the store and back home 1 time. In the same week, she rode her bike to the store and back 3 times. How many miles did she walk and ride to the store and back in that week?

Answers

Answer:

2

Step-by-step explanation:

So you will get the 1/2 and see how many times she does go back and forth and she did it 4 times so you would multiply 1/2 x 4 and get a total of 2

Hope It Helps

Answer:

2

Step-by-step explanation:

she walked to the store and back 1 time=1/2 mile :

from her house to the store=1/4 mile

she rode her bike to the store and back 3 times

So in total that week she went to the store and back 4 times

so 4 times 1/2 is 2

What is the best description of a food chain?
the competition among several species for the same food item
the transfer of energy from one organism to another

Answers

Answer:

the transfer of energy from one organism to another

Step-by-step explanation:

2) Check to see if x = 2 is the solution to this equation Explain your
reasoning with words and work. Be clear and completel
- 4x - 12 = 2x -8

Answers

x=2 is not the answer because when substituting 2 for x in both problems the answers are different.
-4(2)-12=-20
2(2)-8=-4
-20 does nothing equal to -4 which means x=2 is invalid

Does anyone know this one?

Answers

Answer:

-3

Step-by-step explanation:

(-5) - (-2) = (-3)

hope it helps

Answer:

there is a three degree difference between san Diego and Los Angeles

Factor 9z^2 - 6x +1.
pls will mark you brainiest

Answers

Answer:

It is not factorable

Step-by-step explanation:

The expression is not factorable with rational numbers.

Answer:

This is not factorable.

Step-by-step explanation:

This is not factorable.

Please Help — Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore??

Answers

I agree to the first person

What should be done to both sides of the equation in order to solve y - 4.5 = 12.2?

Answers

Add 4.5

---

hope it helps

Answer: add 4.5 to both sides

Step-by-step explanation: this will allow the 4.5 to be removed from the y side and since you added it to one side you have to add it to the other side. This will give your y the value of 16.7.

Brainliest plz

Which of the following points lie on the graph of y=x^2-2x+6

Answers

Answer:

Did this help?

Step-by-step explanation:

The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool, they moved 2 feet to the right and 4 feet up to create the center of their formation (Point
C). From the center of their formation, they then formed a circle that goes through a point 3 feet to the left and 4 feet up (Point D). What is the equation of the circle?

Select the correct answer chorice below.
(x _ _)^2 _ (y_ _)^2 = _

Answers

[tex]\left(x-2\right)^{2}+\left(y-4\right)^{2}=25[/tex]

Hope this helps!

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Equation of circle:

The equation of circle is given as,

                 [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]

Where [tex](h,k)[/tex] is the coordinate of center and r is radius.

From the given figure,

It is observed that, the center of circular pool is (2, 4)

and radius is 5.

substitute the value of center and radius in above equation.

                  [tex](x-2)^{2}+(y-4)^{2} =5^{2}\\\\(x-2)^{2}+(y-4)^{2} =25[/tex]  

The equation of circle is [tex](x-2)^{2}+(y-4)^{2} =25[/tex]

Learn more about the equation of circle here:

https://brainly.com/question/1506955

Part C Calculate the perimeter of ABC by adding the side lengths. Show your work.

Answers

Answer:

What is the lenght and the other things?

Step-by-step explanation:

Brainliest?

Answer:

see photo

Step-by-step explanation:

These numbers tell how many books five different students read in the past six months. 8, 11, 15, 22, and 6 a) Create a different set of five pieces of data with a greater mean, but with at least two values less than the values in the set of data above. b) Create a different set of five pieces of data with a lower mean, but with at least two values greater than the values in the set of data above. How did you make it work? c) Create a different set of five pieces of data with a lower mean, but with a higher median than the original set.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Origibal data set

8, 11, 15, 22, 6

Rearranging The value :

x : 6, 8, 11, 15,22

Mean = Σx / n

n = sample size =5

Mean = (6+8+11+15+22) = 62

Mean = 62 / 5 = 12.4

Median = 1/2(n+1)th term

Median = 1/2(6)th term = 6/2 = 3rd term = 11

A.)

X = 4, 5, 15, 23, 19

MEAN = (4 +5 + 15 + 23 + 19) / 5 = 13.2

B.)

X = 2, 6, 5, 23, 34

Mean = (2+6+5+23+24) / 5

Mean = 60 / 2 = 12

C.)

X = 3, 7, 12, 21, 13

X = 3, 7, 12, 13, 21

Mean = (3+7+12+13+21) /5 = 11.2

Median = 1/2(6)th term = 6/2 = 3rd term = 12

Please Help. What expression is equivalent to 6( t - 5 ) + 3
A. 6t - 2
B. 6t - 12
C. 3 ( 2t - 11 )
D. 3 ( 2t + 9 )

Answers

I believe the answer is D. 3(2t+9)

Explanation: The simplified version of 6(t-5)+3 is 6t+27, and D gives us the same answer.

Can anyone help with this question geometry

Answers

Answer:

The answer would have to be shown in your working out, so look down below for an explanation.

Step-by-step explanation:

You would make each equation with the same letter equal to each other

5x- 10= 7x-20

3y= 5y-16

Then you would solve the equations

5x-10 = 7x-20

+20        +20

5x +10= 7x

-5x        -5x

10= 2x

x= 5

-

3y = 5y-16

+16      +16

3y+16=5y

-3y       -3y

16 = 2y

y = 8

And there's  how you would prove that x=5 and y=8

How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.

y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line

Answers

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

What is equivalent to 8?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

2^3 is equivalent to 8.

Answer:   A:2^3

Step-by-step explanation:

8=2*2*2=(2)^3

Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3

Answers

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Other Questions
How could your family cut costs? PLZ ILL MAKE BRAINLIEST PLEASE HELP IF I DONT PASS THIS TEST I FAIL AND I DON'T UNDERSTAND IT AND I AM ON THE VERGE OF MENTAL BREAKDOWN In which career is an employee least likely to work for a private company?Insurance SalesPersonal Financial AdvisingInvestment Fund ManagementTax Preparation Gina had 1/2 a liter of Dr. Pepper. She gave 2/5 of a liter to her friend. How much does she have left? Help on 1 please please please What connection does this photo have to the beginning of the Cold War?[atomic bomb]a. atomic bombs were a warning to Soviet expansion in Asia and led to further distrust between the USSR and USAb. the Soviet Union detonated the first atomic bomb as a warning to the USAc. the USA shared information about the atomic bomb with the ussr ok so Im getting banned and these cant go to waist so have fun :D If f(x) = (x + 7)2 and g(x) = x2 +9,which statement is true?A fo)B f(-4) > g(-3)C f(1) = g(1)D f(2) > g(2) Which best describes how a proxy war differs from a traditional war?The opposing powers in a proxy war engage in a propaganda war.The opposing powers in a proxy war use others to fight on their behalf.The opposing powers in a proxy war use trade and economic means to fight each other.The opposing powers in a proxy war never openly acknowledge their involvement. PLEASE HELP TAKING TEST NOW!!!!!!!!!!!! What are ethical and aesthetic services? (1 point)the material benefits that humans receive from ecosystemso the products that humans obtain from the ecosystem that they can useo the contributions of ecosystems that benefit human survival and well-beingthe nonmaterial benefits that humans receive from ecosystems Abraham Did he write any of the Bible? Write a description that includes who Jimmy Carter is and why he should be selected as the Man of the Year. please help.I dont understand can someone help me with this please Please help me out you can just give me the answer! PLEASE AND THANK YOU! PLEASE HELP ASAP !!Which graph represents a solution to 6x + 4 = 31? just do the second part please Which golf ball went higher, and how many feet? (Desmos!) What classical allusions does the author make ? How do these allusions contribute to the tone of the essay total eclipse What makes the Caribbean Islands?A. Mountains on landB. PeninsulasC. Tops of submerged mountainsD. Plateaus