Referring to the figure, find the perimeter of the regular polygon
shown. [Note: do not approximate the value of any radicals; thus, if you
obtain, for example, 45 times the square root of 3, simply type 45SQR(3)
as your final answer.]



Referring to the Fig. in Question #1, find the area of the regular polygon
shown. [Note: do not approximate the value of any radicals; thus, if you
obtain, for example, 45 times the square root of 3, simply type 45SQR(3)
as your final answer.]

Answer:

(2.5×20)2=100 then square root of 100;

✓100=10

Hence answer is 10

Answer:

  -4.697 in/s

Step-by-step explanation:

You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

The volume of a cone is given by ...

  V = π/3r²h

The rate of change is found by implicit differentiation:

  V' = (π/3)((2rr')h +r²h')

Here, the height is constant, so h' = 0. Solving for r', we find ...

  r' = 3V'/(2πrh)

Using the given values of V', r, and h, we find the rate of change of radius to be ...

  r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s

The radius is decreasing at about -4.697 inches per second.

__

Additional comment

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.

The GCF of the number given as 45 and 27 is 9 and the factored expression is 9(5 - 3)

From the question, we have the following statement

The greatest common factor of 45 and 27

Rewrite the given expression as follows

This is represented using

45 and 27

Factor out 3 from the expression

So, we have the following representation

15 and 9 => Factored 3

Factor out 3 from the expression

So, we have the following representation

5 and 3 => Factored 3 * 3

So, we have

Factored = 3 * 3 = 9

This represents the GCF

So, the GCF is 9

In (a), we have

5 and 3 => Factored 3 * 3

This means that

45 - 27 = 3 * 3(5 - 3)

Evaluate the product

45 - 27 = 9(5 - 3)

Hence, the factored expression is 9(5 - 3)

Read more about GCF at

brainly.com/question/28552398

#SPJ1

Answer:

6 hours.

Step-by-step explanation:

Subtract initial fee from total. (67 - 19 = 48).

Divide by the hourly rate. (48 / 8 = 6).

The bike was rented for 6 hours.

Answer: 65°

Step-by-step explanation:

You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.

Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.  

2(2x-15) + 2x = 360

Distribute the 2 to (2x-15), you will get 4x - 30.

4x - 30 + 2x = 360

Add like terms, 4x + 2x to get 6x.

6x - 30 = 360

Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.

6x = 390

Divide both sides by 6, and you are left with the value of x being 65°

Answer:

(15-3x³) is the answer.

Step-by-step explanation:

2*15-2*3x³

which is 30-6x³.

Answer: $372

Step-by-step explanation:

330 + (1.5% of 330) = 334.95

334.95 + (1.5% of 334.95) = 339.97425

339.97425 + (1.5% of 339.97425) = 345.073864

345.073864 + (1.5% of 345.073864) = 350.249972

350.249972 + (1.5% of 350.249972) = 355.503772

355.503772 + (1.5% of 355.503772) = 360.836392

360.836392 + (1.5% of 360.836392) = 366.248398

366.248398 + (1.5% of 366.248398) = 371.742124

Please thank and rate :)

The "Poisson distribution" is the probability distribution that comes the closest to accurately describing that many dog bite patients visit this hospital across any given day.

For the given data of,

An average of two dog bite victims show up at Carver Memorial Hospital each day.

A probability distribution that most accurately predicts the number of dog bite victims who visit this hospital on any given day is characterized as the "Poisson distribution."

To know more about the Poisson distribution, here

https://brainly.com/question/9123296

#SPJ4

Answer:

15y

Step-by-step explanation:

3 times 5 is 15 with the variable

Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.

A system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

x + y= 10

2x+3y= 24

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation:

x= 10 - y

Replacing this expression in the second equation:

2×(10-y)+3y= 24

Solving:

2×10 -2y +3y= 24

20 -2y +3y= 24

-2y +3y= 24 - 20

y= 4

Remembering that x= 10 -y, you get:

x= 10 -4

x= 6

Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

x = y = 48 , by using angle sum property of triangle.

What are the properties of triangle?

A triangle's characteristics are:

1. Three sides, three angles, and three vertices make up a triangle.

2. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.

3. Any two triangle sides can add up to a length that is longer than the third side.

4. The greatest side of a triangle is the side that faces the largest angle.

5. The sum of the triangle's internal opposite angles is equal to any of its outer angles. This is referred to as the triangle's outside angle property.

In the given triangle , two sides of the triangle are equal and we know angle opposite to equal sides are equal therefore both angle x and y are equal.

Now, Using angle sum property of triangle

x + y + 84 = 180 degree

x + x + 84 = 180

2x + 84 = 180

2x = 180 - 84

2x = 96

x = 96/2  

x = 48

Similary , y = 48 as x and y are equal.

Therefore, x = y = 48

To learn more about the triangles from the given link.

https://brainly.com/question/1058720

#SPJ1

The missing values in the ratio table include the following:

A = 2

B = 6

In Mathematics, a proportional relationship can be modeled or represented by the following mathematical expression:

y = kx

Where:

In order for the ratio of the number of people to liters of ginger ale needed to have a proportional relationship, the variables x and y must have the same constant of proportionality.

Next, we would calculate the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 24/4

Constant of proportionality (k) = 6.

Now, we can determine the value of A and B:

A = x/k

A = 12/6

A = 2

For the value of B, we have:

B = x/k

B = 36/6

B = 6.

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

Answer: A=2 and B=6

Step-by-step explanation: I hope this helped you

:D

The first five terms of the arithmetic sequence with the formula a(n) = a(n - 1) - 5 is; -5, -10, -15. -20, -25

The general formula for an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

d is common difference

aₙ is the nth term of the sequence

Now we are given the formula for the nth term of a sequence as;

a(n) = a(n - 1) - 5

Thus;

1) First term is when n = 1;

a(1) = a(1 - 1) - 5

a(1) = -5

2) Second term is when n = 2;

a(2) = -5(2 - 1) - 5

a(2) = -5 - 5

a(2) = -10

3) Third term is when n = 3;

a(3) = -5(3 - 1) - 5

a(3) = -15

4) Fourth term is when n = 4;

a(4) = -5(4 - 1) - 5

a(4) = -20

5) Fifth term is when n = 5;

a(5) = -5(5 - 1) - 5

a(5) = -25

Read more about arithmetic sequence at; https://brainly.com/question/6561461

#SPJ1

Complete question is;

Write the first five terms sequence defined by a(n) = a(n - 1) - 5

The percentage of women that answered that they don't even like soccer is 85%

From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:

= 500 - 75

= 425

Therefore, the percentage of women that answered that they don't even like soccer will be:

= Those that don't like soccer / Total number × 100

= 425/500 × 100

= 85%

The percentage is 85%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Complete question

In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?

After solving the equation made for a triangle, the value of angle A will be equal to 21.

Simple polygons with three sides and three internal corners make up triangles. Being one of the fundamental geometric shapes, it is symbolized by the symbol and consists of three connected vertices.

As per the given data in the question,

Angle A is 13 less than angle C.

Let angle C is x then angle A is equal to (x - 13) and,

Angle B is 11 less than 4 times of angle C then,

B = 4x - 11

Add all the angles and equate them with 180.

(x -13) + (4x - 11 ) + x = 180

6x -24 = 180

6x = 180 + 24

x = 204/6

x = 34.

Substitute x = 34 in angle A

A = (x - 13)

A = 21.

To know more about Triangles:

https://brainly.com/question/2773823

#SPJ1

As per the given equation in form of inequality 4x - 2y > 12 gives  the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.

As given in the question,

Given equation in inequality form is :

4x - 2y > 12

Simplify the given equation in intercept form we get,

2y < 4x -12

⇒ y < 2x -6

If we write this inequality in equation form we have,

y = 2x -6

slope of the line is 2

x -intercept is x = 3

y - intercept is y = -6

And in inequality form x > 3 and y < -6.

Therefore, for the given equation in form of inequality 4x - 2y > 12 gives  the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.

Learn more about equation here

brainly.com/question/10413253

#SPJ1

The population in 208 years based on the information is 10193600.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Since the city doubles its size every 52 years. The number of times that it'll double in 208 years will be:

= 208 / 52

= 4 times

The population in 208 years will be:

= 637100 × 2⁴

= 637100 × 16

= 10193600

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The ordered pair which is a solution to the system of inequalities is: (-1, 0).

In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;

For ordered pair (4, 3), we have:

-7x + 3y > -1

-7(4) + 3(3) > -1

-28 + 9 > -1

-19 > -1 (False).

For ordered pair (2, 8), we have:

-7x + 3y > -1

-7(2) + 3(8) > -1

-14 + 24 > -1

10 > -1 (True).

5x - 9y > -6

5(2) - 9(8) > -6

10 - 72 > -6

-62 > -6 (False).

For ordered pair (-1, 0), we have:

-7x + 3y > -1

-7(-1) + 3(0) > -1

7 + 0 > -1

7 > -1 (True).

5x - 9y > -6

5(-1) - 9(0) > -6

-5 - 0 > -6

-5 > -6 (True).

For ordered pair (-2, 2), we have:

-7x + 3y > -1

-7(-2) + 3(2) > -1

14 + 6 > -1

20 > -1 (True).

5x - 9y > -6

5(-2) - 9(2) > -6

-10 - 18 > -6

-28 > -6 (False).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

The deceleration of the train is -3 ms^-2.

Given:

A train is moving along a Straight track with a speed of 30 ms^-1 when it reaches point A. the driver applies the brakes and the train decelerates at a constant speed until it comes to a stop 150 m from point A

we know that:

v^2 - u^2 = 2as

where

v = 0

u = 30 ms^-1

s = 150 m

0^2 - 30^2 = 2a*150

0 - 900 = 300*a

-900 = 300*a

a = -900/300

a = -3 ms^-2

Negative acceleration is nothing but the deceleration so a = -3 ms^-2.

Learn more about the speed here:

https://brainly.com/question/7359669

#SPJ1

Answer: $2100

Step-by-step explanation:

Since 12.5 percent of 2400 is 300, Just subtract 300 from 2400 to get the selling price with no sales tax. And the final answer is $2100.

Ethical research methods include D. doing your best to select an unbiased sample.

In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.

The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.

Learn more about research ethics on:

https://brainly.com/question/22691507

#SPJ1

Answer:

2x^2

__________

x+3 | 3

2x + 2

3

- 2 x - 3

_________

R = - 1

Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5

Step-by-step explanation: im in 8th grade math in 7th grade

The type of software should Jace use will be "Entry level accounting system" as his company has 17 employees who work full time. The company has a number of very dedicated clients, and last year they generated $2 million in revenue.

Entry-level accounting includes typical accounting operations such as accounts payables and receivables, as well as basic financial reporting. These are, predictably, among the most affordable items; some sellers even provide an entry-level bundle for free for a brief time as a trial period. Entry-level accounting jobs are the initial level of accounting positions for people who are just starting out in their careers. Accounting Representative, Accounting Executive, Accounting Assistant, Accounting Associate, Entry-Level Accounting Clerk, Staff Accountant, and Bookkeeper are examples of entry-level occupations.

To know more about entry level accounting system,

https://brainly.com/question/21662503

#SPJ4

The true statement about the sentence 'sample of gas is enclosed in a container of fixed volume' are:

When a sample of gas is been enclosed in a container of fixed volume then then if the container temperature is been reduced then the kinetic energy of the gas will reduce.

Therefore the first and the third option are correct.

Read more about gas at:

https://brainly.com/question/25736513

#SPJ1

The equation of line passes through the point (1, -5) will be;

⇒ y = - 3x - 14

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (1, -5).

And, The slope of the line is,

⇒ m = - 3

Now,

Since, The equation of line passes through the point (1, -5).

And, Slope of the line is,

⇒ m = - 3

Thus, The equation of line with slope - 3 is,

⇒ y - 1 = - 3 (x - (-5))

⇒ y - 1 = - 3 (x + 5)

⇒ y - 1 = - 3x - 15

⇒ y = - 3x + 1 - 15

⇒ y = - 3x - 14

Therefore, The equation of line passes through the point (1, - 5) will be;

⇒ y = - 3x - 14

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Answer:i had forgot

Step-by-step explanation:

Answer:4

Step-by-step explanation:

u add den subtract den divide then there

The length of each wire is 12.8 feet

The television antenna makes an angle 90 with the ground

The height of the antenna is 10 feet

The wires are anchored to the base which is 8 feet

We need to calculate the length of the wires

The height of the wire can be calculated by using pythagoras theorem

h² = b² + p²

h² = 8² + 10²

h² = 64 + 100

h = √164

h = 12.8

Therefore, the length of each wire is 12.8 feet

To learn more about pythagoras theorem refer here

https://brainly.com/question/343682

#SPJ9

Answer: No

Step-by-step explanation: to find out how much more money Eugene will be making we need to isolate the increased value provided by the raise and then add it to his already existing earnings. We do this by multiplying $2700 by 3.5%.

We would write this as 2700 x .035

This is because 100% can be converted to 1, for example if Eugene got a 100% raise we would multiply 2700 by 1 (which changes nothing) then add 2700 and 2700 together.

Since Eugene is only getting a 3.5% raise we would write it as .035 instead of 1

Now that we have our equation we first need to simplify. In this case it means we remove the two zero's from 2700 to make it 27. To make sure the answer does not get messed up will make the other side of the equation larger by moving everything two decimal points (one for each removed zero) like this.

27 x 3.5

This is much easier to work with but I will still show the steps I am using to prevent confusion.

27 x .5 = 13.5

27 x 3 = 20 x 3 + 7 x 3

20 x 3 = 60

7 x 3 =21

60+21 =81

81+13.5=94.5

Since 2700 + 94.5 = 2794.5 Eugene will not make more than $2800 dollars a month after his raise.