Calcula el lado y el área de un poligono regular 12 lados sabiendo que su radio es de 7,727dmy su apotema de 7,464

Answers

Answer 1

Answer:

[tex]L=3.999 \: dm[/tex]

[tex]A=183.4581\:dm^{2}[/tex]

Step-by-step explanation:

La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:

[tex]a_{p}=L\frac{2+\sqrt{3}}{2}[/tex]

Sabiendo que la apotema es 7.464 el lado sera:

[tex]L=\frac{2*a_{p}}{2+\sqrt{3}}[/tex]

[tex]L=\frac{2*7.464}{2+\sqrt{3}}[/tex]

[tex]L=3.999 \: dm[/tex]

Por otro lado el area de un dodecágono regular esta dada por:

[tex]A=6a_{p}L[/tex]

[tex]A=6*7.646*3.999[/tex]

[tex]A=183.4581\:dm^{2}[/tex]

Espero te haya sido de ayuda!


Related Questions

5x+8-5-x=3


It keep show other questions

Answers

Answer:

x = 0

Step-by-step explanation:

5x+8-5-x=3

assuming you are looking for x

5x + 8 - 5 - x = 3

4x + 3 = 3

4x = 0

x = 0

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

check

5 × 0 + 8 - 5 - 0 = 3

8 - 5 = 3

3 = 3

the answer is good

6x + y = 20
x - 4y = -5

Answers

The value of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]2[/tex]

The given equations are

                        [tex]6x+y=20\\x-4y=-5[/tex]

We need to find the value of [tex]x[/tex] and [tex]y[/tex]

First let's take equation [tex]2[/tex]  and we can simplify it

                                 [tex]x-4y=-5\\x=-5+4y[/tex]

Now, let's substitute the value of [tex]x[/tex] in equation [tex]1[/tex], that is

                     [tex]6x+y=20\\6(-5+4y)+y=20[/tex]

We can open the bracket and simplify

                       [tex]=-30+24y+y=20\\=-30+25y=20\\=25y=20+30\\=25y=50\\=y=\frac{50}{25} \\y=2[/tex]

Now we can substitute the value of [tex]y[/tex] in equation [tex]x-4y=-5[/tex]

                       [tex]x-4(2)=-5\\x-8=-5\\x=-5+8\\x=3[/tex]

                   

The complete question is find the value of [tex]x[/tex] and [tex]y[/tex] from the given equations.

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A sequence is represented by the explicit formula

Answers

The 40th term of the sequence  aₙ = - 24 - 3n is - 144.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, To find a₄₀, we'll simply replace n with 40.

So, a₄₀ = - 24 - 3(40).

a₄₀ = - 24 - 120.

a₄₀ = - 144.

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What is the value of x if the points A 4 3 and B x 5 are on the circle with Centre O 2 3?

Answers

The value of x with points A ( 4, 3 ) and B ( x ,5 ) on the circle and O(2,3) as centre is equal to 2.

As given in the question,

Points A(4,3 ) and B ( x, 5 ) are on the circle.

Centre of the circle is represented by O( 2,3)

OA and OB represents the radius of the circle.

This implies

OA = OB

Using distance formula we get,

√ ( 2 - 4 )² + ( 3 - 3 )² = √ ( 2 - x )² + ( 3 - 5 )²

⇒ √ 4 + 0 = √ 4 - 4x + x² + 4

⇒4 =  4 - 4x + x² + 4

⇒4 - 4x + x² = 0

⇒ ( x - 2 )² = 0

⇒ x - 2 = 0

⇒ x = 2

Therefore, the value of x for the given point of the circle is equal to 2.

The above question is incomplete , the complete question is :

What is the value of x , if the points A(4, 3) & B(x, 5) are on the circles with Centre O(2, 3), find the value of x.

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Step 4: Calculating the right recipe for Jerome
Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.
How many cups of energy drink does Jerome need to make?

Answers

Answer:

44

Step-by-step explanation:

If there are 22 people running and they each want two energy drinks, then Jerome needs to make 44 cups. 22 times 2 is 44

1. Choose your answer inside the box.
vertex
face
net
solid figures
sphere
cone
edge
rectangular prism
cube
square
pentagonal prism
pyramid
cylinder
rectangle
1. Flat parts of the solid figure.
2. The line where two faces meet.
3. The point where three edges meet.
4. Closed figure that can be folded into a closed 3-dimensional figure. It is a pattern
you can form into solid figures.
5. A polyhedron whose bases are congruent polygons and whose lateral faces are
parallelograms.
6. A polyhedron whose base is a polygon. The lateral faces are triangles
7. A solid figure with a curved surface of points that are all of the same distance from
the other
8. A solid figure with curved surfaces and one circular base
9. A solid figure with curved surfaces and that has two circular bases that are
congruent and parallel
10. A polygon with four equal sides and angles.​

Answers

Answer:

I AM sure u will find answers in googl

let me go check

Step-by-step explanation:

FaceEdgeVertexNetPrism PiramidSphereConeCylinder Square


SOMEONE PLS TELL ME IF IM RIGHT ILL MARK BRAINLIEST

Answers

Answer:

u r correct

look at the picture I sent

Answer:

Its actually 5 you were about 4 away

The total number of laps anitia swims, d, is proportional to the total timethat she swims, t, at constant pace, r. Which of the following equations best represents this situation.?

Answers

The equation that best represents this situation is d = rt. This equation states that the total number of laps Anita swims, d, is equal to the product of the constant pace, r, and the total time that she swims, t.

Hope this helps?

Can somebody help me with this question?

Answers

Answer:

answer is 6 btw does ~ means congruent

The answer is 6 by the way

HELP PLZ I NEED TO GET THIS TEST DONE AND IM SO LOST can someone help me with the answers?

Answers

Answer:

I answered question 9

Step-by-step explanation:

Graph the solution to this inequality on the number line.

1/3x-3<-1 5/6


Help please asap

Answers

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

what is inequality ?

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

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The 7th term of a geometric progression is 48 the 8th term is -16 find the common ratio

Answers

Answer:

48 = 768* (r)^2

thus, r = 0.25

solving for a(7)

a(7) = 768 * (0.25)^(5)

a(7) = 0.75

Step-by-step explanation:

Answer:

r = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The common ratio r is calculated as

r = [tex]\frac{a_{8} }{a_{7} }[/tex] = [tex]\frac{-16}{48}[/tex] = - [tex]\frac{1}{3}[/tex]

Can someone help me in number 3?

Answers

Answer:

1.5 kilograms

Step-by-step explanation:

You need to convert grams to kilograms, this means you must divide the mass value by 1000 to find your answer.

1,500/1,000 = 1.5

Answer:

For 1500 grams in kilogram we get 1.5 kg

Step-by-step explanation:

to convert a gram into a kilogram we have to divide the gram term by 1000

is y = x proportional

Answers

Answer:

yes

Step-by-step explanation:

Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A, a 50%

chance of getting a job offer from company B, and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Answers

The probability of Johnny not getting a job offer from either company is 0.8

Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A,

A = 0.6

a 50% chance of getting a job offer from company B,

B = 0.5

and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Suppose, probability of an event  A occurring is P(A)

and that of is B IS P(B)

P(A) = 0.6

and

P(B)= 0.5

probability of either  or P(AUB)=0.3

Now we need to find the probability of neither  nor, which is

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B)  = P(A) + P(B) -P(A∪B)

             = 0.6 + 0.5 - 0.3

            = 0.8

Now the events are mutually exclusive, so

Therefore, the probability of neither  nor  is 0.8

The probability of Johnny not getting a job offer from either company is 0.8

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Reflect shape A in the line y = -x. (See picture)

Answers

Answer:

See picture below

Step-by-step explanation:

Bilquis finds some nickels and quarters in her piggy bank. How much money (in
cents) does she have if she has 7 nickels and 5 quarters? How much money
does she have if she has n nickels and q quarters?

Answers

Answer:Bilquis finds some nickels and quarters in her piggy bank. How much money (in

cents) does she have if she has 7 nickels and 5 quarters? How much money

does she have if she has n nickels and q quarters?

Step-by-step explanation:

Answer: 157 cents ($1.57)

Step-by-step explanation: Nickels are worth 5 cents each, so 5 cents times 7 nickels equals a total of 35 cents. After that, we have 5 quarters which cost 25 cents each, so 25 cents times 5 quarters equals a total of 125 cents. Combine these two products, and you get 157 cents. Or, if you want it in dollars, you can divide 157 by 100 cents (there are 100 cents in a dollar) and end up with $1,57.

If Patrick scored 33 marks out of a possible 55 marks, what % did he get?

Answers

Answer:

60%

Step-by-step explanation:

33/55 = 0.6 which is 60%

Find BC. AB=25 AC=25 BD=3x+4 DC=4x-5

Answers

Answer:

b

Step-by-step explanation:

Since AB = AC = 25, then the triangle is isosceles

Segment AD bisects BC at right angles , then

CD = BD, that is

4x - 5 = 3x + 4 ( subtract 3x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

Then

BC = 3x + 4 + 4x - 5 = 7x - 1 = 7(9) - 1 = 63 - 1 = 62

Answer:

3x+4=4x-5

3x‐(4x)=-5+-4

x=9

plug in 9 for x on both sides and add them together to find BC

each side is 31,

answer is 62.

Russell randomly surveys seventh graders in his schools and finds 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.

Answers

The answer is 40 EXPLANATION: 6% of 30 is 20%. 20% of 200 is 40

Answer:

40

Step-by-step explanation:

Can you help me with this

Answers

a) The ordered pair so that the set still remains the function is (-5, 17)

b) The ordered pair so that the set does not remain the function is (-26, 15).

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

A Relation is said to be a function if the input value or the x- value is unique and have their corresponding output.

But if the input value repeats then it may no longer be a function.

First, Add a ordered pair so that the set still remains the function as

(-5, 17)

and, Add a ordered pair so that the set does not remain the function as

(-26, 15).

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Find the value of X.

Answers

Answer:

im not sure but I think its 8.3

What does Y=3x + 15 look like on a graph

Answers

Answer:

Step-by-step explanation:

y = 3x + 15 represents a straight line whose y-intercept is (0, 15) and which has the steep positive slope m = 3.

Answer:

it looks like that

Step-by-step explanation:

Do isosceles triangles have 3 congruent angles?

Answers

Yes, isosceles triangles have three congruent angles.

An isosceles triangle is a triangle with at least two congruent sides and two congruent angles. The two congruent sides and two congruent angles form an isosceles triangle. The two congruent angles are known as the base angles, and they are opposite to the two congruent sides. The third angle in an isosceles triangle must also be congruent to the two base angles in order for the triangle to be true. This is because the angles of a triangle must always sum up to 180 degrees. Therefore, isosceles triangles have three congruent angles. These angles are all equal in measure and have the same shape. The angles of each isosceles triangle can be different from other isosceles triangles, but the angles are still congruent to each other. Therefore, isosceles triangles have three congruent angles.

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Tiles with the numbers 1 through 9 are placed in a bag. What is the probability of choosing an even number that is greater than or equal to 4?

Answers

have anyone figured it out yet? pleaseee i need answer

The probability of choosing an even number that is greater than or equal to 4 is 0.3333 or 33.33%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Tiles with the numbers 1 through 9 are placed in a bag.

The total outcomes will be

Total outcome = 9 {1, 2, 3, 4, 5, 6, 7, 8, 9}

The probability of choosing an even number that is greater than or equal to 4 will be

Favorable event = 3 {4, 6, 8}

Then the probability will be

[tex]\rm P = \dfrac{3}{9}\\\\P = 0.3333\\\\P = 33.33 \%[/tex]

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A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?

Answers

Answer:

9 in

Step-by-step explanation:

Use ratios:

1 in ⇔ 2 ftx in ⇔ 18 ft

Solve by cross-multiplication:

1/2 = x/ 182x = 18x = 9 in

If 85% of the workers in a factory factory are male and the number of female is 36. find the total number of workers in a factory​

Answers

The total number of workers in the factory is = 240.

It is given that,  

     Male =    85%

    Female = 36

If we assume that the total workers account for 100%, then we know that Female workers account for 15% of the workforce (as 100-85= 15).

Now,

       => 15% = 36

      If,   1%  = 36/15

then, 100% = 36/15*100

                  = 12*20

                  = 240.

Therefore, the answer is 240.

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For each of these variables, which of the mean, median, or mode would be the best choice to describe the typical behavior of the variable? Why?
Sales prices of houses
Age of 1st graders
Heights of women

Answers

In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.

First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.

The age of each kid will be almost the same.  In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.

Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have. 

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What is the factor of the dilation?

Answers

The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).

A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.

The picture is reduced if the scale factor is between 0 and 1.

The picture is an enlargement if the scale factor is larger than 1.

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In APQR, PR = 23 mm, QR = 39 mm, and
m/R = 163º.

Answers

Use an inverse trigonometric ratio to find m∠A. You know the lengths of the ... In △PQR, PR = 23 mm, QR = 39 mm, and m∠R = 163°.

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