Se tiene un conjunto de triángulos equiláteros, cuya medida de lados están en progresión geométrica cuya razón es 2. Si se ordenan los triángulos de acuerdo a su tamaño, se tiene que el primer triángulo mide un 1 cm de lado , ¿cuánto medirá el lado del vigésimo triángulo equilátero?¿cuánto medirá su perímetro?

Answers

Answer 1

Responder:

Explicación paso a paso:

Dado el conjunto de un triángulo equilátero con cada uno de sus lados en progresión geométrica, si el primer triángulo mide un lado de 1 cm y una razón común de 2 cm, para obtener el lado del triángulo 29, usaremos la fórmula para calcular el enésimo término de la progresión geométrica. expresado como;

Tn = ar ^ (n-1)

a es el primer término

n es el número de términos

r es la razón común.

Dados los siguientes parámetros

a = 1, r = 2 y n = 20 (ya que estamos buscando el lado del vigésimo triángulo)

Sustituyendo los parámetros dados en la fórmula para obtener el lado del triángulo 20, tendremos;

T20 = 1 (2) ^ 20-1

T20 = 1 (2) ^ 19

T20 = 2 ^ 19

T20 = 524,288 cm

Por lo tanto, la medida de la longitud de un lado del vigésimo triángulo equilátero es 524,288 cm.

Perímetro del vigésimo triángulo equilátero = 3 × 524,288 = 1,572,864cm

Tenga en cuenta que todos los lados de un triángulo equilátero son iguales.


Related Questions

Plz help 7th grade math

Answers

Answer:

9feet

Step-by-step explanation:

B= -34 M=-25

-34-(-25)=-34+25=9

Answer:

9 feet

Step-by-step explanation:

Brett is -34 feet and Max is -25 feet from sea level.

In order to find how many feet Max is above Brett, we can change the numbers to be positive and subtract Brett's distance - Max's distance

34-25=9

Max is 9 feet above Brett

If f (x) = 3x − 4, Find f (−1) Helpp

Answers

Answer:

f(x) = 3x-4

f(-1)= 3(-1) -4

f(-1) = -3-4

= -7

hope this helps uh!

Answer:

f(-1)= -7

Step-by-step explanation:

We are given the function:

f(x)=3x-4

We want to find f(-1). We must plug -1 in for x and solve.

f(-1)= 3(-1)-4

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 3 and -1.

f(-1)= -3 -4

Subtract 4 from -3.

f(-1)= -7

f(-1) is equal to -7.

Write the next 4 digits in the repeating decimal 4.715

Answers

Answer:

4.7157157

Step-by-step explanation:

because it is a repeating decimal, it will repeat the terms that come first such as 715.

Please help. I don’t understand this math problem.

Answers

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

34+987=what please help

Answers

Answer:

1021

Step-by-step explanation:

i added 34 +987 and got 1021

1021 because 34+987= 1021

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Answers

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

is 1 1/2 a rational number?

Answers

yes. It would be an irrational number if it didn't repeat in a pattern.

hope it helps comment if u have any questions

Answer:

Yes.

Step-by-step explanation:

Yes 1 [tex]\frac{1}{2}[/tex] is a rational number because because it can be converted to a decimal, which is 1.5

The area can be found by multiplying the side lengths that are 6 units & 4 units

Answers

Answer:squares area is. 24

Step-by-step explanation:

6×4 = 24

When a number is increased by 26, the result is tripled. Then the result is increased by 72. If the final result is 1/2 of the number, what is the value of this number?

Answers

Answer:

-60.

Step-by-step explanation:

Let the unknown number be x.

Number is increased by 26 = x+26

Then result is tripled = 3(x+26)

Then the result is increased by 72 = 3(x+26)+72

Final result is [tex]\dfrac{1}{2}[/tex] of the number = [tex]\dfrac{1}{2}x[/tex]

[tex]3(x+26)+72=\dfrac{x}{2}[/tex]

[tex]3x+78+72=\dfrac{x}{2}[/tex]

[tex]3x+150=\dfrac{x}{2}[/tex]

Isolate variable terms.

[tex]3x-\dfrac{x}{2}=-150[/tex]

[tex]\dfrac{6x-x}{2}=-150[/tex]

Multiply both sides by 2.

[tex]5x=-300[/tex]

Divide both sides by 5.

[tex]x=-\dfrac{300}{5}[/tex]

[tex]x=-60[/tex]

Therefore, the required number is -60.

Given the vectors shown, find the sum (P+Q+R).

Answers

128 because it rly easy

c(a + b)- d = f, for a

Answers

Hopes this helps you out

Answer:

Step-by-step explanation:

C(a + b) = f + d

a + b = (f + d)/C

a = (f + d)/C - b

Round 10.999244792948 to the nearest whole number

Answers

Answer:

11

Step-by-step explanation:

1. Listing Information

The number is 10.999244792948.

Simply put, numbers below 5 are rounded down and numbers that are greater than or equal to five are rounded up.

The tenths place value in 10.999244792948 is 9.

2. Solving the Problem

With the previous information in mind, 9 is greater than 5. Because of this, 10.999244792948 should be rounded to 11.

Determine if the following relations represent y as a function of x. x=y^4

Answers

Answer:

x = y⁴ does not represent y as a function of x

Step-by-step explanation:

Let's first isolate this equation for the 'y' value :

[tex]\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}[/tex]

So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.

Solution: x = y⁴ does not represent y as a function of x

What is the sum?

−1.5+1.9

Enter your answer, as a decimal, in the box.

Answers

Answer:

0.4

Step-by-step explanation:

Answer: it's 0.4 as a decimal

Step-by-step explanation:

The segment with endpoints (-1,4) & (2,8) has a distance of

Answers

Answer:

5

Step-by-step explanation:

(X1,Y1) = (-1,4)

(X2,Y2) = (2,8)

What is the domain in interval notation. do not include any spaces in your answers! Type in the word infinity if needed

Answers

Answer:

(-6,5]

Step-by-step explanation:

Domain includes all of the x-values a function contains. In this case, it goes from -6 to 5. The open dot on the left indicates that this number is not included in the answer, and in interval notation you would use a parentheses. The filled in dot on the right coordinate indicates that this number is included, so you would use a bracket.

(-6,5] and step but step

the sum of two numbers is 58. The larger number is 22 more than the smaller number. What are the numbers?

Answers

the two numbers are 40 and 18

Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock

Answers

I would say 3 because 18/3 is 6, and 9/3 is 3. So you could put 6 rolls of toilet paper in each bathroom and three bars of soap. I probably just got this wrong but hope I helped out :)

Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type I: A([i,j], :)=([j,i],:) interchanges row i and row j Type II: A(i,:)=2*A(i,:) multiplies row i by a Type III: A(i, :)=A(i, :)+ q*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: [ 3 5 4 -12 -23 -14 6 4 14] Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form. Use format rat.

Answers

Answer:

The solution and the calculation is shown on the first uploaded image

Step-by-step explanation:

The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

Answers

Answer:

The  95% confidence interval is  [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

Step-by-step explanation:

From the question we are told that

  The  data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242

  The  sample  size is  [tex]n= 20[/tex]

   

Given that the confidence level is 95% then the level of significance is

      [tex]\alpha = (100 - 95)\%[/tex]

      [tex]\alpha = 0.05[/tex]

The  degree of freedom is mathematically represented as

    [tex]df = 20 -1[/tex]

    [tex]df = 19[/tex]

From the student t-distribution table  the critical value of  [tex]\frac{\alpha }{2}[/tex]  is  

          [tex]t_{\frac{\alpha }{2} , 19 } = 2.093[/tex]

The mean is mathematically represented as

          [tex]\= x = \frac{\sum x_i}{ n}[/tex]

         [tex]\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}[/tex][tex]\= x = 246.6[/tex]

The standard deviation is mathematically represented as

            [tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }[/tex]

           [tex]\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..[/tex]

             [tex]\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...[/tex]

              [tex]\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...[/tex]       [tex]\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }[/tex][tex]\sigma = 2.87411[/tex]

The margin of error is mathematically represented as

       [tex]E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.093 * \frac{2.87411 }{\sqrt{20} }[/tex]

      [tex]E = 1.345[/tex]

The 95% confidence interval is mathematically represented as

       [tex]\= x - E < \mu < \= x + E[/tex]

=>   [tex]245.6 - 1.345 < \mu <245.6 + 1.345[/tex]

=>    [tex]244.26 < \mu < 246.95[/tex]  

The pivot function used is  

           [tex]t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }[/tex]

     

How do you write.09 in words?

Answers

Answer:

zero point 9

0 and nine tenths

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

Answers

Answer:

-44

Step-by-step explanation:

108 ÷ 9 x (-12) ÷ 6 - (100 ÷ 5)

= 108 ÷ 9 x (-12) ÷ 6 - (20)

= 12 x (-12) ÷ 6 - (20)

= -144÷ 6 - (20)

= -24 - (20)

= -44

Each day Tania decides to do something nice
for 2 strangers. What is the relationship
between the number people helped and days.

Write a Recursive and Explicit equation.

Answers

Answer:

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

Step-by-step explanation:

She helps the same number of people every day, 2.

Recursive:

[tex] a_1 = 2; a_n = a_{n-1} [/tex]

Explicit:

[tex] a_n = 2 [/tex]

Help please TYSM IF YOU DO!

Answers

Answer:

I think it is mean

Step-by-step explanation:

because mean would be the average of the scores

Answer: The mean

Step-by-step explanation:

The mean will show the average of the teams scores.


What is the value of the expression below when y = 5?
4y2 – 7y - 6

Answers

Answer: 371

Step-by-step explanation:

Answer:59

Step-by-step explanation:

The sum of 2 composite numbers is never a prime number. Explain your answer.

Answers

Answer:

Step-by-step explanation:

Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than  1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.

For example:

4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.

We all know that prime numbers are numbers that can be only be divided by 1 and itself.

Therefore, the sum of two composite number, for example:

4 + 6 = 10, We can now see that 10 is never a prime number.

The height off the ground, in feet, of a certain baseball that travels through the air is given by the equation h = 3.5 + 68t - 16t^2, where t is measured in seconds. Find the height off the baseball, to the nearest foot, when t = 4 seconds.

Answers

Answer:

20 feet

Step-by-step explanation:

Plug in 4 as t in the equation:

h = 3.5 + 68t - 16t^2

h = 3.5 + 68(4) - 16(4²)

h = 3.5 + 272 - 256

h = 19.5

So, the height of the basketball is 20 feet

K(h-j)+10’ if h= 7, j=-8, and k=5

Answers

Answer:

49

Step-by-step explanation:

5(7-8)+10

49

it's equals 49

PLEASEEE HELPPP

Solve for x:

Answers

Second option, just do Pemdas backwards.

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you chose tiles with the letters A,B,C?

Answers

Answer:

1/26

Step-by-step explanation:

Total no. of tiles = 26

In each tile , a different alphabet is written.

And we need 3 tiles (in which A , B & C are written in it) in one try.

So the probability of choosing tiles with letters A , B & C ( in one try ) = 1/26

Other Questions
HELP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 34 of the pizza. On Sunday morning he ate 16 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?* Why did Spain come to the New World Smita is experimenting with how a paper airplane's shape affects the distance it will fly. Which action is the result of her logical reasoning? A. She follows her procedure carefully. B. She decides to use the same type of paper for each airplane. C. She decides to perform the experiment outside on a windy day. D. She records only the data that support her favorite hypothesis. 2. What form of mob violence was done in Great Britain against tax collectors, but never actuallydone here in America? Select the correct answer.How many amendments does the Bill of Rights contain? A laundry detergent recommends 1/4 cup of detergent for a 1/2 load of clothes. How much detergent is recommended for 4 loads of clothes? In the figure below, K lies between J and L. Find the location of K so that JK is 1/7 of JL. accounting Which organization has the authority over the accounting and financial disclosures for companies whose shares of ownership (stock) are traded and sold to the public? please help me. if right I will give brainlist, thanks, and 5 stars The distance time graph of a body is a straight line parallel to the time axis. Whatinformation does the graph convey regarding the motion of the object? Is it true you will often have more control over the setting when photographing a pet versus a wild animal The soldiers are issued infrared goggles to help them see in the dark. what does infrared mean in this sentence ? A. outside visible spectrum B. creating light by radiating heat C. emitting light by creating water vapor D. producing light by adding electrons to a glowing material Complete the paragraph proof. We are given that Ray E B bisects AEC. From the diagram, CED is a right angle, which measures degrees. Since the measure of a straight angle is 180, the measure of angle must also be 90 by the . A bisector cuts the angle measure in half. mAEB is 45. Why do the people at the masque ball eat, drink, and party when the disease is spreading throughout their country? * Is 0.7 a rational or irrational number? why is a rational number What is is the answer of 2/4+3/8= When The north end of earths axis is tilted toward the sun, what will North America experience? Choices, 1. More indirect rays and shorter days 2. More indirect rays and longer days 3. more direct rays and shorter days 4. more direct rays and longer days Tasha was $422.75 last week. Of that paycheck $42.75 was extra overtime pay for 3 hours. If the rest of the check was Tashas weekly earnings for 40 hours, what is her weekly per-hour rate? What did Cooper think of vocational training? PLEASE HELP QUICK Read carefully and choose the option that best answers the question. Hello! My name is Rosita and I live in Cartagena, Colombia. I am 16 years old and in high school. All high schools in Colombia have four different routes, from one year to five years of studies: technical, technological, teaching and professional programs. Teaching and technology programs are the longest. I study in the technical program. I want to be a gardener. When you finish the two years of the technical program, you can start working immediately without going to university. In professional careers you need to study more than in technical careers and you need to go to university. There are technical majors in the United States, but not in all schools. In the United States, after completing technical or general studies in four years, you can go to college for professional studies. Based on the text and what you learned in the lesson , what is similar in high schools in Colombia and in the United States? All high schools in both countries offer technical programs. Both countries offer general programs in all high schools. Both countries require five years of university studies before any technical programs. Students need university credits before enrolling in any general program in both countries.