In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle

Answers

Answer 1

Answer:

Step-by-step explanation:

S = 12mm

r  = 8mm

What is the measure, in radians, of the circle or central angle?

The measure of a circle in radians is 2 radians.  I think you want the central angle thata.

theta = S/r  radians

theta = 12/8  radians

theta = 1.5 radians  for the central angle

Answer 2

The measure in radians of the circle is 1.5π   radians

What is central angle?

The angle between two radii of a circle is known as the central angle of the circle.

given: S = 12 mm

r  = 8 mm

circumference of a circle= radians

Since, 16π=2π radians.

1π= 2π /16

for,

12π =2π /16 *12

       = 3/2*π

       = 1.5π

[tex]\theta[/tex] = 1.5π   radians

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Related Questions


Challenge A bag contains pennies, nickels dimes, and quarters. There are 50 coins in all of the
coins 18% are pennies and 40% are dimes. There are 2 more nickels than pennies. How much
money does the bag contain
The bag contains S

Answers

Answer:

The bag contains $5.14

Step-by-step explanation:

18% of 50 = (.18)(50) = 9 pennies

40% of 50 = (.40)(50) = 20 dimes

2 more nickels than pennies = 9 + 2 = 11 nickels

40 coins so far, so 50 - 40 = 10 quarters

Total value:

9 x ($0.01) = $0.09  for pennies

20 x ($0.10) = $2.00 for dimes

11 x ($0.05) = $0.55 for nickels

10 x ($0.25) = $2.50 for quarters

Grand total value = $5.14

Find the value of x or y so that the line through the points has the given slope.

Answers

Answer:

x= -6

Step-by-step explanation:

(-1+5)/(x+3) = -4/3

4/(x+3)= -4/3

-4(x+3)= 3(4)

-4x-12= 12

-4x= 24

x= -6

Mr. Q’s class is having a give away where his students can
receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not
eligible to win a second time. If there are 40 total people in the class, including you and your
best friend.

What is the probability that both you and your best friend get the 100 classroom credits?

Answers

Answer:

2.5 I think

Step-by-step explanation:

What is the best estimate of the sum of fractions? ​

Answers

14 1/2 is what I got

Answer:

13

Step-by-step explanation:

Edgeunity 2021

I'm pretty sure, I just estmated the answer to 13 which was the closest.

What is the answer to 4 1/3 - 1 1/5

Answers

Answer:

3 2/15 or approximately 3.13

Step-by-step explanation:

4 1/3 - 1 1/5

=13/3 - 6/5

= 47/15

=3 2/15 or approximately 3.13

ANSWER ASAP! WILL MARK BRAINLIEST!

Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7

х|у
4|5
6|4

х|у
2|8
8|5

x|y
2|10
6|14

x|y
2|9
8|6

Answers

Answer:

The first and last set

y = (-1/2) + 10

Step-by-step explanation:

Two points form a line

The first and last set have a slope of -1/2

and b intercept of 10

х|у

4|8

6|7

y = (-1/2) + 10

and

x|y

2|9

8|6

y = (-1/2) + 10

The requried, tables that represent the same function are tables 1 and 3.

What is function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.

Here,
The tables that represent the same function are:

x|y

4|8

6|7

x|y

2|8

8|5

For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.

The other tables do not represent the same function, as they have different outputs for the same input values.

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Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.

Answers

Answer:

Step-by-step explanation:

Find the missing side of this right
triangle.
х
7
12
x =
Enter the number that belongs in the green box.
Enter

Answers

Answer:

19is the answer I think so please check it iam sorry

x = √144 + 49

x = √193

.........................

Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)

Answers

Answer:

0.9830 = 98.30%

Step-by-step explanation:

Can a person train to become better at holding their breath? An experiment was designed to find out. A group of 12 volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds):

Group 1: 90, 88, 70, 110, 75, 105

Group 2: 40, 48, 35, 50, 55, 62

The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than the true mean amount of time volunteers without training held their breath. The researcher tests H0: μ1 – μ2 = 0, Ha: μ1 – μ2 > 0, where μ1 = the true mean amount of time that volunteers who were given training held their breath and μ2 = the true mean amount of time that volunteers without training held their breath. The conditions for inference are met. The standardized test statistic is t = 5.44. What is the P-value of this test closest to?

Answer is A, 0

Answers

The null hypothesis may be significantly rejected. Choose A, 0, for the closest response.

What does "true mean" refer to?

In statistics, the term "true mean" refers to the true mean of a population or set of data.

It is typically unknown; hence it is estimated using inferential statistics using a sample.

For group 1, s1²= 250.67

group 2, s2² = 96.27

t= 5.44 which is the difference of mean.

Given the data values:

Group 1: 90 88 70 110 75 105

Group 2: 40 48 35 50 55 62

For group 1, n1 = 6

group 2, n2 = 6

Given that H_o= u1 - u2 = 0

H_a = u1 - u2 > 0

To find the t-test about the difference, we would use the formula to solve.

The totals are displayed below:

x1 = 538

x2 = 290

(x1-x2) ² = 1253.3334

x2-x2= 0

(X2-x2) ² =481.3334

For group 1, s1²= 250.67

group 2, s2² = 96.27

t= 5.44 which is the difference of mean.

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Find the values of m and n.

Answers

Answer:

[tex]m=46^{\circ},\\n=22^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:

[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]

Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:

[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]

Answer:

M = 46°

N = 22°

Step-by-step explanation:

Value of M:

Sum of angles in triangle = 180°

180° - 90° - (180° - 136°) = m

90° - 44° = m

m = 46°

Value of N:

The triangle is isosceles (marked by the two congruent lines with the tick)

That means that the other two angles, are the same

180° - 136° = 2n

44° = 2n

n = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Terry has a savings account that pays 1.9% interest per year. Terry’s grandmother opened the account for him on his 10th birthday and deposited $500. How much will Terry have in the account on his 14th birthday if no other deposits or withdrawals are made? Interest earned each year is added to the account at the end of the year.

Answers

Answer:

he will make 38 dollars by his 14th birthday

Find the equation of the line. Use exact numbers. y = _x+_

Answers

The answer is y=4x-9

Which function is shown in the graph below? On a coordinate plane, a function is shown. The curve starts in quadrant 4 and curves up to quadrant 1. It goes through (0.5, negative 0.4), (1, 0), and (6, 1). y = log Subscript one-sixth Baseline x y = log Subscript 0.5 Baseline x y = log Subscript 1 Baseline x y = log Subscript 6 Baseline x

Answers

Answer:

c

Step-by-step explanation:

The y-values of the graph increases as the value of x increases, which

indicates that a characteristic of the base of the logarithm function.

Correct response:

The function that corresponds with the graph is; [tex]\underline{\mathrm{y = log_6 x}}[/tex]

How can the function of a log graph be determined?

The given points on the graph are;

The point where the graph starts = Quadrant 4

Direction of the graph = From quadrant 4 to quadrant 1

Points on the graph are;

(0.5, -0.4), (1, 0), and (6, 1)

The given options are;

[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]

[tex]y = \mathrm{log_{0.5} x}[/tex]

[tex]y = \mathrm{log_1 x}[/tex]

[tex]y = \mathrm{log_{6} x}[/tex]

From the shape of the graph, in which, log x increases as x increases, therefore;

The base, b, of the logarithm is larger than 1, given that we have;

[tex]\mathbf{log_bx} = y[/tex]

[tex]\mathbf{b^y} = x[/tex]

From the given coordinate points, x increases as y increases, therefore;

b > 1

The possibly option is therefore, y = log₆x

Verifying, we have;

At x = -0.4, y = 0.5

[tex]b^y = x[/tex]

[tex]6 ^{(-0.4)}[/tex] ≈ 0.488

Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x

At the point (1, 0), we have;

6⁰ = 1

Therefore, the point (1, 0), is on the graph of y = log₆x

At the point (6, 1), we have;

6¹ = 6

Therefore, the point (6, 1) is on the graph of y = log₆x

The function of the graph is therefore;

[tex]\underline{ \mathrm{y = log_6 x}}[/tex]

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cuales serían los distintos grupos de personas que podrian sentarse en 24 mesas cuadradas de tal manera que formen otras mesas rectangulares

y en 36 mesas cuadradas​

Answers

Answer:

Step-by-step explanation:

The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?

Answers

Answer:

118.7

Step-by-step explanation:

180-61.3

What is the volume of the cube

Answers

Answer:

the answer should be V = a³=2³=8cm³

Answer:

8cm

Step-by-step explanation:

The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.

Mark borrowed $5,500 at 11.5 percent for five years.

How much did Mark pay in interest?

$1,150

$1,520

$1,757

$2,300

Answers

Answer:

   $ 1 , 150

Step-by-step explanation:

USING THE GRAPHING FUNCTION ON YOUR CALCULATOR WHAT IS THE SOLUTION TO THE SYSTEM OF EQUATIONS SHOWN BELOW? Y+2X=5 4Y=5X=14

Answers

Answer:

x= 2, y= 1

Step-by-step explanation:

took one for the team<3

Please help me. I dont have much time! Thank you if you decide to help tho​

Answers

It would either be C or D I think.

Answer:

D. They have the same slope, and the same y-intercept so they have infinitely many solutions.

Step-by-step explanation:

Graphing these lines shows that both lines are the exact same line, and cannot have a point of intersection. Solving the equations shows you a value that is ultimately always correct; such as 0=0. This can be used as proof that "They have the same slope, and the same y-intercept so they have infinitely many solutions" because either equation can be rearranged to equal the other.

4 × 7/8 = ? 4 × 6/8 =?

Answers

Answer:

4 × 7/8 = 3.5

Step-by-step explanation:

4 × 6/8 = 3

Answer:

3.5 and 3

Step-by-step explanation:

Correct answer will be marked brainliest

find the value of x
4x + 2 = 8​

Answers

Answer:  x = 6/4

Step-by-step explanation:  

4x + 2 = 8

4x = 6

x = 6/4 or 1 1/2

Hope this helped :)

Answer:

x = 1.5, 1 1/2

Step-by-step explanation:

4x + 2 = 8

4x = 6

4x/4 = 6/4

x = 1.5

1.5 = 1 1/2

Have a nice day! :-)

Detailed results will be available only after the quiz has closed.
Question 8
5 pts
ve
Education
Dale conducted a survey of students in his classes to see the distribution of eye color.
The results are shown:
Eye color
Number
Blue
12
Brown
58
Green
2
Hazel
8
If the distribution of eye color in Dale's grade is similar to the distribution in his classes,
about how many of the 360 students in his grade would be expected to have brown
eyes?
0 54

Answers

Answer: 10%

Step-by-step explanation:

can i have brainliest


Estimate the payment on a 2019 Honda Civic that is selling for $24,599. You will be leasing the vehicle for 3 years. The estimated resale value of the Honda after 3 years will be $13,750 and the sales tax and fees are estimated at 10%. You will need a 20% down payment and you will be financing the balance for 3 years at 2.8%.

Answers

Answer:

Step-by-step explanation:

What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9

Answers

Answer: Center (3,-5); radius 3

Step-by-step explanation:

The center and radius of the circle defined by the equation is (3, -5) and 3.

What is Equation of Circle?

The standard equation of a circle is given by:

(x-h)² + (y-k)² = r²

Where (h,k) is the coordinates of center of the circle and r is the radius.

We have Equation,

x² + y² -6x + 10y +25= 0

Now, rearranging the terms

x² -6x + y² +10y +25 = 0

Now, add and subtract 9

x² -6x + 9 + y² +10y +25  -9 = 0

(x-3)² + (y+5)² = 3²

(x- 3)² + y(-(-5))² = 3²

So, the Centre of Circle is (3, -5) and the radius is 3.

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Caleb has shelves that hold
a total of 600 boxes. What
percent of the shelves are
Full if he has 60 boxes?

Please help no links thank you!

Answers

Answer:

10%

Step-by-step explanation:

if he has 60 boxes then it would be 60/600

simplify that to 6/60 which further simplifies to 1/10 which is 10%

Answer:

600-100%

60-10%

Odp-Wynosi 10%                                                                                             tep-by-step explanationu  Pozdrawami

Tultiplication and Division
17. During the last basketball season, Tanisha played in 16 games and averaged
18 points per game. Find her total points by using the verbal model below
to write and solve an equation.
Total points
Average points
per game>
Number of games played
18. A printer prints documents at a rate of 12 pages per minute, A copier
copies documents at a rate of 10 pages per minute.
a. Write and solve an equation to find the time it takes to print a 24-page
research paper.
auntion to find the time it takes to copy a 50-page
Nii

Answers

Answer:

288 points

2 minutes

5 minutes

Step-by-step explanation:

Given that :

Average point per game = 18 points

Number of games played = 16

Total points claimed = number of games played * average points per game

Total points = 18 * 16 = 288 points on average

Print rate = 12 pages per minute

Copying rate = 10 pages per minute

To print a 24 page research paper :

Time taken = number of pages / printing rate

Time taken = 24 / 12 = 2 minutes

To copy a 50 page paper :

Time taken = number of pages / copying rate

Time taken = 50 / 10 = 5 minutes

Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.

Answers

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Which ratio is the same as 2/3?​

Answers

Answer:

The ratio 2 : 3 is the same as the ratio of 6 : 15.

I dont know  if that the same at what you refer.

Answer:

4/6, 6/9, 8/12, 10/15

Step-by-step explanation:

Basically you keep adding 3 to the denominator, and multiply the numerator by 2

Formula to convert 220 oz to grams

Answers

Answer:

For an approximate result, multiply the mass value by 28.35

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