Find the area of the regular 15-gon with radius 8 mm.

Answer:

17 =x

Step-by-step explanation:

The angles are vertical angles, so they are equal

51 = 3x

Divide each side by 3

51/3 = 3x/3

17 =x

Answer:

C) 17

Step-by-step explanation:

Since the angle needed to be 51˚ we need to figure out which number that multiplies by 3 will get to 51˚ so 17 is the answer

17 times 3 is 51˚

In the given statement is:

Gravitational Force between two bodies at a distance x is given by:-

F = GmM/ x2 ; If a body of mass ' m' is revolving around the body of mass M and it's orbit is stationary then centrifugal force must be equal to the Gravitational Force i.e. Fg = mv2/x therefore FG = Fg i.e. GmM/ x2 =mv2/x; where v is the orbit motion of the orbiting body of mass.

Now, Let us understand the :

In mechanics, gravity, often known as gravitation, is the constant force of attraction occurring on all matter. It plays no part in shaping the interior features of common stuff because it is easily the weakest force known to exist in nature.

Learn more about Gravitational Force at:

https://brainly.com/question/24207903

#SPJ4

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

to learn more about value  click here

brainly.com/question/30760879

#SPJ11

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.

Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.

In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.

A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.

In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.

Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.

In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.

To learn more about survey click on,

https://brainly.com/question/15086554

#SPJ4

Based on the information given, it should be noted that the equation that will given the value of 44 include n + 38, 2n + 32, etc.

It should be noted that your information is incomplete. Therefore, an overview of an equation will be given.

To solve this question, you simply have to replace n by 6. For example, let's say the equation given is:

= n + 38

= 6 + 38

= 44.

Also, 2n + 32

= 2(6) + 32

= 12 + 32

= 44

Learn more about equations on:

https://brainly.com/question/13763238

We have to find out such expressions for the value of n which equals to 6 i.e (n = 6) and their sum tends to 44. So let's basically consider or form any expression of your choice it may be of multiplication, division, Subtraction it either addition. For example, 3n + 26, 5n + 14 gives their final value equal to = 4.

#1) 3n + 26

=> 3 × 6 + 26

=> 18 + 26

=> 44

#2) 5n + 14

=> 5 × 6 + 14

=> 30 + 14

=> 44

#3) 8n - 4

=> 8 × 6 - 4

=> 48 - 4

=> 44

#4) 7n + 2

=> 7 × 6 + 2

=> 42 + 2

=> 44

#5) 10n - 16

=> 10 × 6 - 16

=> 60 - 16

=> 44

Answer:

THESE are the others that it could be 6,10,12,15,20,30,60

Step-by-step explanation:

The value of p is 15.

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multipleis a number which is a multiple of two or more numbers. LCM denotes the least common factor or multiple of any two or more given integers.

Given that, the lcm of 4, 5 and p is 60,

4 = 2 × 2

6 = 2 × 3

p = p

Therefore,

2 × 2 × p = 60

4p = 60

p = 15

Cross check =

4 = 2 × 2

6 = 2 × 3

15 = 3 × 5

LCM = 2 × 2 × 3 × 5 = 60

Hence, the value of p is 15.

Learn more about LCM, click;

https://brainly.com/question/20739723

#SPJ3

Answer:

Hi.

Step-by-step explanation:

Ask your teacher for help because your parents are paying the school fees. Feel free. If you want the answer still message back.

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

Know more about fraction here:

https://brainly.com/question/10354322

#SPJ11

Answer: 7.44285714 to be exact but its is around 7.44

Step-by-step explanation:

Answer: 4 sets of 2 positive tiles.

Step-by-step explanation:

We have the product of 4 and 2.

We can represent this as:

4 is equivalent to 4 positive tiles.

if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.

Another example is using 2 positive tiles to represent the 2.

So when we multiply it by 4, we end with 4 sets of 2 positive tiles.

This is because the order of the factors does not change the product.

Then, from the given options, the correct one is:

4 sets of 2 positive tiles.

Answer:

C on edge 2021

Explanation:

4 groups of 2

[+] [+]    [+] [+]    [+] [+]    [+] [+]    

The population of the chicken after 15 years in 2036 will be 5177.

The exponential growth model is given by the equation, \(y=y_oe^{rt}\), where y is the population after t years, y₀ is the initial population, r is the rate of growth, and t is the time.

As it is given that the initial chicken population in the year 2021 is 3750, while the rate at which the population is increasing is 2.15% annually.

A.) The exponential growth model to write an equation that estimates the population t years after 2021.

The exponential growth model can be written as,

\(y=y_oe^{rt}\\\\y=3750e^{0.0215t}\)

B.) The population of the town in 2036,

As the population is increasing for the next 15 years(2036-2021). Therefore, The population of the town in 2036 can be written as,

\(y=3750e^{0.0215t}\\\\y=3750e^{0.0215\times 15}\\\\y= 5177.1558\approx 5177\)

Hence, the population of the chicken after 15 years in 2036 will be 5177.

Learn more about Exponential growth model:

https://brainly.com/question/13223520

The two step equations are used to represent the equations and solve real life problems .

What is Two Step Equations ?

The Equations that can be solved in exactly two steps are called as Two Step Equations .

We can use the two-step equations to represent and solve real-world problems by translating the problem into an algebraic equation, and solving equation, and then interpreting the solution of equation.

An example of the two step equation is : If a rental car costs $40 plus extra 10 cents for every mile driven, then how many miles can be driven for $50 ?

Translating The problem into equation we get  \(40 + 0.1m = 50\) where m is  number of miles driven.

Step(i) we Subtract 20 from both sides

we get , \(0.1m = 10\).

Step(ii) We Divide both sides by 0.1 ;

we get , \(m = 100\).

Therefore , the problem to find the number of miles is solved in exactly two steps .

The given question is incomplete , the complete question is

What is the two step equation used for ?

Learn more about Two Step Equations here

https://brainly.com/question/26119747

#SPJ4

Answer:

4 pages per night

Step-by-step explanation:

you would do 48/12

Answer:

You will be reading 4 pages per night

Step-by-step explanation:

This is because 48 pages divided by 12 nights equals 4 pages per night.

,Hope this helps :)

Have a great day!!

Answer:

How

Step-by-step explanation:

The correct matching of the algebraic equation to the verbal description of an equivalent equation is given below:

An algebraic equation, sometimes known as a polynomial equation, in mathematics, is a formula of form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.

The equivalent description has been matched to the given algebraic equation above,

Read more about algebra here:

https://brainly.com/question/4344214
#SPJ1

The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

To know more about optimal solution,

https://brainly.com/question/32645256

#SPJ11

The total revenue that will be maximized is 20 - 2a

From the question, we have the following parameters that can be used in our computation:

Qd = 20 - P

The revenue equation is calculated using

Revenue = Quantity * Price

So, we have

R = Qd * P

This gives

R = (20 - P) * P

Expand

R = 20P - P²

Differentiate

R' = 20 - 2P

Next, we have

Q = a

So, we have

R = 20 - 2a

Hence, the total revenue that will be maximized is 20 - 2a

Read more about revenue at

https://brainly.com/question/12983911

#SPJ1

Answer:

2134

Step-by-step explanation:

beacuse that is the wright answer

Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°

The average fixed manufacturing cost per unit produced is $16.

The average fixed manufacturing cost per unit produced if 16,000 units are produced can be found as follows:

The given data is

Average Fixed Manufacturing Cost (FC) = $640,000

Total Units Produced (Q) = 40,000

Therefore,Average Fixed Manufacturing Cost per unit produced (P) = FC / Q$

P = 640000 / 40000$

P = 16

Learn more about manufacturing cost at

https://brainly.com/question/15735176

#SPJ11

Answer: I divided 16.75 by 5

Step-by-step explanation:

For every 1 gallon hes using 3.35

So 22 x 3.35 is 73.70 so hell need 70 cent more

The distance away from Oracle Road, if you travel 5 miles up Route 10 from the intersection, can be found using trigonometry.

Since Route 10 heads 30° west of north, it forms a right triangle with Oracle Road. The adjacent side of the triangle represents the distance traveled up Route 10 (5 miles), and we need to find the opposite side, which represents the distance away from Oracle Road.

Using trigonometric functions, we can use the cosine of the angle to find the opposite side:

Opposite side = Adjacent side × cosine(angle)

Opposite side = 5 miles × cosine(30°)

Calculating the value:

Opposite side ≈ 5 miles × 0.866

Opposite side ≈ 4.33 miles

Therefore, if you travel 5 miles up Route 10 from the intersection, you are approximately 4.33 miles away from Oracle Road.

For more questions like Distance please click the link below:

https://brainly.com/question/31713805

#SPJ11

Answer:

n=6

Step-by-step explanation:

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

To learn more about   conical surface click here: brainly.com/question/29129362

#SPJ11

Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.

The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.

By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.

Learn more about corporation here:

https://brainly.com/question/28097453

#SPJ11

Answer:

1

Step-by-step explanation:

You find a number that divides 7 to equal 19.

\(\tt \dfrac{19}{7}=2\dfrac{5}{7}\)