Answers
Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,
[tex]r=12[/tex]
[tex]A=24\pi[/tex]
[tex]\theta = x[/tex]
We know that, area of a sector is
[tex]A=\dfrac{\theta }{360^\circ}\pi r^2[/tex]
Where, [tex]\theta[/tex] is central angle, r is radius.
[tex]24\pi=\dfrac{x}{360^\circ}\pi (12)^2[/tex]
[tex]24\pi=\dfrac{x}{360^\circ}\pi (144)[/tex]
[tex]\dfrac{24\pi}{144\pi}=\dfrac{x}{360^\circ}[/tex]
[tex]\dfrac{1}{6}=\dfrac{x}{360^\circ}[/tex]
Multiply both sides by 360 degrees.
[tex]\dfrac{1}{6}\times 360^\circ=x[/tex]
[tex]60^\circ=x[/tex]
The value of x is 60 degrees.
Therefore, the correct option is A.
Related Questions
Cami's garden has 13 flowers. 8 flowers are white The other flowers are red
Answers
Answer: 5 red flowers
Step-by-step explanation:
13-8 = 5
does any one know the answers
Answers
Answer:
b) 13
c) 37
Step-by-step explanation:
b) 2 + 5 + 6 = 13
c) 3 + 2 + 5 + 6 + 8 + 8 + 4 + 1 = 37
hope this helps
PLS HELP! DUE SOON!!! Middle school question.
Answers
CAN SOMEBODY PLEASE HELP ME I DONT UNDERSTAND THIS ILL FAILED! REWARD BRAINLIESTSS
Answers
Answer:the 3rd one
Step-by-step explanation:
1. b
2. d
3. c
4. a
5. b
I'm very sorry if I am incorrect.
PLEASE HELP ME BRAINLY I WILL GIVE BRAINLEST
Answers
Answer:
Yes
Step-by-step explanation:
Priya and Han's expressions are equivalent.
Priya factored 8 as the factor while Han factored 2, but but after being multiplied they would equal the same.
Expression: 8y-24
Priya= 8(y-3)= 8y-24
Han= 2(4y-12)= 8y-24
find the highest common factor of 14(3x+1)^ and 7(3x+1)
Answers
Answer:
The highest common factor is 7(3x+1)
Step-by-step explanation:
Here, we want to find the highest common factor of both expressions
As we can see, the highest common factor of 7 and 14 is 7
Now, we have the second expression which is (3x+1)
No matter what the first expression is raised to, it still stands that the highest common factor we shall have there is 3x+ 1 as concerns the term
inside the bracket
Thus, the highest common factor of both terms is 7(3x + 2)
Pls help I have five minutes
Answers
Answer:
Thats confusing tbh
Step-by-step explanation:
using the elimination method how do I find x and y for the following problem:
4x-7y=13
4x + 7y = -29
Answers
Answer: x= -2 and y= -3.
Step-by-step explanation:
The given system of equations :
4x-7y=13 ...(i)
4x + 7y = -29 ....(ii)
By Elimination method, Eliminating (ii) from (i) , we get
[tex]-7y-7y=13-(-29)\\\\\Rightarrow\ -14y=13+29\\\\\Rightarrow\ -14y=42\\\\\Rightarrow\ y=\dfrac{42}{-14}\\\\\Rightarrow\ y=-3[/tex]
Now, Adding (i) and (ii), we get
[tex]8x=-16\\\\\Rightarrow\ x=\dfrac{-16}{8}\\\\\Rightarrow\ x=-2[/tex]
Hence, the solution is : x= -2 and y= -3.
Allan is deriving the quadratic formula, as pictured below. His work is incorrect. In which step did Allan first make an error? Step 3, 4, 5 or 6?
Answers
Answer:
step 5 is the answer
Tim has a total of 19 nickels and dimes worth $1.65 in his coin bag. How many of each type of coin does Tim have?
Answers
Answer:
14dimes and 5 nickels
Step-by-step explanation:
Tim have 14 dimes and 5 nickels.
What is a unitary method ?In simple terms, the unitary method is used to find the price of a single unit from a given multiple.
Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that there are 19 nickels, let n=number of nickels.
The number of total coins subtracted by number of nickels will give us the number of dimes.
The Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)
Then we can substitute total as $1.65 and get the value of nickels by multiplying by 5cent
Since the value of the dimes is the value of nickels subtracted from the total, we can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.
5(n)=5(19)=95
(165-95)/10 =number of dimes
70/10 = 7dimes
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At a theater, the admission price for children is $4 and the admission price for adults is $7. The total amount the theater collects in admissions for the day is $1782. The total number of visitors is 294. Let x be the number of children and let y be the number of adults.
Answers
Answer:
4x+7y=1782 i beleive it would be
Step-by-step explanation:
Answer:
x + y = 294 (1)
4x + 7 y = 1782 (2)
(1) => x=294-y replace x into (2)
=> 4( 294-y ) + 7y = 1782 => y = 606/3 =202
=> x = 294 - 202 = 92
So : x = 92 and y = 202
Step-by-step explanation:
(GIVING BRAINLIEST!!)
It is a cold winter day in New York City. The air temperature is below freezing in and below the clouds. What is the most likely form of precipitation?
A) Hail
B) Rain
C) Sleet
D) Snow
Answers
Answer:
its sleet or snow
Step-by-step explanation:
its d or c
The air temperature is below freezing in and below the clouds.The most likely form of precipitation is sleet or snow.
What is precipitation?Precipitation is defined as any liquid or frozen water which forms in the atmosphere and then gets received on Earth.It is one of the most important steps of the water cycle.
Precipitation takes place in form of clouds when water vapor gets accumulated in clouds and they get bigger and heavy, when the clouds become heavy enough they fall to the land in the form of rain.f a cloud is present at higher altitudes , the water present in the clouds freezes and fall to the ground in form of snow,hail.
Precipitation occurs always in case of fresh water because the sea salt does not evaporate with the water.The different types of precipitation are rain, drizzle,snow,snow hail,etc.
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Plz help ASAP I will mark brainleist.
Answers
Answer:
The 4th one!
Step-by-step explanation:
Answer:
the answer is number 4 for the question
1. **What is the slope of a line that passes through the points (-1,30) and (4, 10)
Answers
Answer:
Slope = -4
Step-by-step explanation:
Given points are :
(-1,30) and (4, 10)
We need to find the slope of the line that passes through these points.
We know that, the formula for the slope of line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have, x₁ = -1, y₁ = 30, x₂ = 4 and y₂ = 10
Put values in the above formula.
[tex]m=\dfrac{10-30}{4-(-1)}\\\\=\dfrac{-20}{5}\\\\=-4[/tex]
So, the slope of the line is -4.
insert grouping symbols to make the number sentences true. 36 / 6 - 5 = 36
Answers
Answer:
36 divided by (6-5) = 36
Step-by-step explanation:
6-5 = 1
36 divided by 1 = 36
Jane has 10 days to study for four
exams. She will devote equal study time
to each exam. How much time does she
have to study for each exam in hours?
She can devote 3 hours on each of the
ten days to study
Answers
30/4= 7.5 hours to study for each exam
What is the area of the shaded region? (picture is below) pls help me :((
Answers
Answer:
its 210
Step-by-step explanation:
area of rect is 20×12=240
tri angle area=1/2×5×12=30
so 240-30=210
HOPE THIS HELPS!!
:)
Answer:
210
Step-by-step explanation:
20 times 12= 240 (area of full shape)
one half of 5 times 12= 30 (area of white bit)
240-30= 210
Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $4 each. How much total money would Levi have to pay for his family if he were to buy 6 snacks for everybody to share? How much would Levi have to pay if he bought x snacks for everybody to share?
Answers
Answer:
Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)
Step-by-step explanation:
someone please help me ASAP!!!
Answers
Christy's family took a trip to Georgia this summer. The distance from Christy's town to Georgia was 432 miles. Christy's dad wanted to drive the trip without stopping and make it to Georgia in 12 hours. What average speed would Christy's dad have to maintain in order for the trip to take exactly 12 hours?
Answers
Answer:
36 Miles
Step-by-step explanation:
432/12 = 36
What will not make a triangle A.11cm,13cm,3cm B.12cm,7cm,5cm C.19cm,14cm,7cm D.2cm,3cm,4cm please help!
Answers
Answer:
B. 12cm,7cm,5cm
Step-by-step explanation:
use triangular inequality therom
A+B>C 12+7>5 true
B+C>A 7+5>12 false
A+C>B 12+5>7 true
One of the sides is not complete so it can not be a triangle.
Answer is option-B
Triangle Inequality Theorem :
In Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than the third side; in symbols,
a + b > c.
a + c > b
b + c > a
(Here)
For option-B
let's take a = 12cm, b = 7cm and c = 5cm.
b + c = a.
It violates triangle Inequality property.
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Determine the slope of the line y= x/3 +2 . I already did it just wanna know if it’s the right answer
Answers
Answer:
A. -1/3 is the answer
Step-by-step explanation:
y = - x/3 +3
x/3 + y =2
slope = -x/y
= -( 1/3 ) /1
= -1/3
can someone please help. im not sure how to do this. if you could explain, you dont even have to answer. please help!!!!!
Answers
Answer:
Step-by-step explanation:
sure lizzie
soo elimination method just means we want to cancel out on of the variable by subtracting of add the entire equations to each other... there is another method but this one is pretty good to learn with.
system 1
2x + 2y = -2
3x - 2y = 12
since there is already an easy way to get rid of the y variable lets just add the two equations together, just add term by term
5x + 0y = 10
if you notice .. just by making an imaginary column.. of each term.. you can just do that single piece by it self.... 2x + 3x = 5x and 2y +(-2y) = 0 and -2 + 12 = 10 :)
so now I can rewrite our new equation
5x = 10 I can solve this one with my eyes closed :D (10/5 = 2 )
x =2 :P
now , since we know x .. just plug in the known value of x into the 1st equations...
2(2) +2y = -2
4 + 2y =-2
2y = -2-4
2y = -6
y = - 3 :) ( I had to keep my eyes open that time b/c there was a minus sign floating about and those are too easy to mess up on .. when you do.. don't worry everyone does )
so we know
x = 2 and y = -3 :)
I'll go a little faster on 2.. and I see 3 is good for you to practice on.. just ask later if you have questions on that one.
system 2
4x - 2y = -1
-4x + 4y = - 2
add them again to get rid of the x term
0x +2y = -3
y = - 3/2
plug in y
4x - 2(-3/2) = -1
4x +3 = -1
4x = -1 - 3
4x = -4
x = -1
they are being nice and making them easy to start out.. you try system 3
Question 1: Kristen is investigating the opinions of students at her high school on the new school hours proposed by the school board. Which of the following is her population of interest?
Answers
Answer:
All students at her high school
Step-by-step explanation:
Those are the people she in the opinion of
The correct option for Kristen's population of interest would be "All students at her high school."
Here, we have,
The population of interest refers to the specific group of individuals that the researcher wants to draw conclusions about or make inferences regarding a particular research question.
In this case, Kristen is specifically interested in the opinions of students at her high school regarding the proposed new school hours.
Therefore, her population of interest is limited to the students within her own high school.
The other options mentioned such as "All members of the school board," "All teachers at her school,"
"All students in the school district,"
and "All high school students in the state" represent broader or different groups that are not the specific focus of Kristen's investigation.
Hence, in this case, it is concluded that the correct answer is "All students at her high school."
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complete question:
Kristen is investigating the opinions of students at her high school on the new school hours proposed by the school board. Which of the following is her population of interest? All students at her high school All members of the school board All teachers at her school All students in the school district All high school students in the state
Total health care costs in the United States in 2016 was $1.7 trillion. The US population was 290.9 million. What was the average amount spent per person on health care?
Answers
Answer:
$5,844
Step-by-step explanation:
Calculation for What was the average amount
spent per person on health care
Using this formula
Average amount=Total health care costs/US population
Let plug in the formula
Average amount=$1.7 trillion/290.9 million
Average amount=$5,844
Therefore the average amount
spent per person on health care is $5,844
Help. Algebra word problem
Answers
Answer:170
Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
Answers
Answer:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
Answer:
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The answer above is correct.
Write the equation of a line perpendicular to y= -5/6x-3 and whose y-intercept is (0,11).
Answers
Answer:
y=6/5x+11
Step-by-step explanation:
Perpendicular lines have the opposite sign and reciprocal of the original line. Since the y-intercept is 11 we know that it is 6/5x+11
What is the value of g?
If you could explain why I would be super grateful!
Will give brainliest
Answers
Answer: G is 31 degrees
Step-by-step explanation: that angle is a right angle which means it measures 90 degrees. if we subtract the given measurement from 90 we get 31
Answer:
31
Step-by-step explanation: both sides added together need to equal 90 because it is a right angle so 90-59=31
Maya invested $5,000 in an account paying an interest rate of 3.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $6,880?
Answers
Answer: 8.2
Step-by-step explanation:
Delta Math Solution
It would take 2.92 years for the value of the account to reach $6,880.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
Maya deposited $5,000 in an account with a 3.9% compounded annual interest rate.
To solve this problem, we can use the formula for continuously compounded interest: [tex]A = Pe^{rt}[/tex], where A is the final amount of the investment, P is the initial amount of the investment, r is the interest rate, and t is the time in years.
We can rearrange the formula to solve for t: t = (ln(A/P)) / r
Plugging in the values from the problem, we get: t = (ln(6880/5000)) / (3.9/100) = 2.92 years
Rounded to the nearest tenth of a year, this is approximately 2.9 years.
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