un icosagono es un poligono que contiene 20 lados, cuantas diagonales se pueden trazar desde todos sud vertices si cada lado mide 15cm y su area es 900cm2?

Answers

Answer 1

Answer:

El número de diagonales de un icoságono = 170 diagonales

Step-by-step explanation:

Los parámetros dados son;

El número de lados del polígono = 20

La longitud de cada lado = 15 cm.

El área del polígono = 900 cm²

La fórmula para encontrar el número de diagonales, ∑D, de un polígono de n lados se presenta como sigue;

Número de diagonales, ∑D = n (n - 3) / 2

Por lo tanto, el número de diagonales de un icoságono (20 lados) ∑D (20) es;

∑D (20) = 20 × (20 - 3) / 2 = 170 diagonales.

Answer 2

Se pueden trazar 170 diagonales en un icoságono.

Matemáticamente, es posible determinar la cantidad de diagonales en función del cantidad de lados del polígono a través de la siguiente fórmula:

[tex]d = \frac{n\cdot (n-3)}{2}[/tex] (1)

Donde:

[tex]d[/tex] - Cantidad de diagonales.[tex]n[/tex] - Cantidad de lados.

Si sabemos que [tex]n = 20[/tex], entonces la cantidad de diagonales del icoságono es:

[tex]d = \frac{20\cdot (20-3)}{2}[/tex]

[tex]d = 170[/tex]

Se pueden trazar 170 diagonales en un icoságono.

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Related Questions

Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12

Answers

The fitness gram pacer test is a multistage aerobics test

Evaluate the expression for z = 3.

z2

Answers

Answer:

6

Step-by-step explanation:

z=3

z2= 3*2 = 6

Good luck


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

Please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

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MARKING BRAINLIEST, PLEASE HELP.

In order for the picture frame to fit together where both pairs of opposite sides are parallel, what must the sum of x and y be?

Answers

Answer:

360 degrees

Step-by-step explanation:

a rectangle has a total of 360 degrees and all the x and y values are at the corners so...

What Is 2+4? I need to know.

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

Lisa was throwing a dart at a target. She threw 50 times with her left hand and 50 times with her right hand. The histograms show the distance Lisa missed the target by each time. Make an inference about which hand Lisa has better aim with based on the median of each data set. Justify your response.

Answers

Answer:

The answer is "More accurately is the left hand".

Step-by-step explanation:

In the given-question when we look at the given equation and see its given graph. This graph offers a much more reliable right hand because it has a smaller distance than that of the left. That being said, the left hand never surpassed the target, again and again, that's why the above given choice is correct.

Please help Math answers

Answers

Answer:

on example 1, both are right triangles.

What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%

Answers

Answer:

its answer C 2.1%

Step-by-step explanation:

$1000, 2%, 9 months what is the simple interest​

Answers

Answer:

principal =1000

time=9

rate=2%

or simple interest = p×t×r/100

= 1000×9×2

=Rs.18000

Answer:

$180

Step-by-step explanation:

Turn 2% to 0.02 then make the formula

1,000*0.02*9=180

For the following right triangle, find the side length x.​

Answers

Answer: 37

Step-by-step explanation:

Use A squared plus b squared equals c squared.

1. 35 squared is 1,225.

2. 12 squared is 144.

3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?

Well the square root of 1,369, that's 37.

plz help i dont know the answer

Answers

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

Haddle wrote a check to the grocery store for $156.00. However, when she looks at her check register later that night, she sees she only has

$122.66 In her checking account. Haddle has opted in to the standard overdraft practices at her bank. How many fees is Haddle likely to pay for

writing the check?

Answers

Answer:

she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store

Step-by-step explanation:

We are told she wrote a check to the grocery store for $156.00.

And that when she looked at her check register later that day, she had only $122.66.

This means she doesn't have sufficient balance for the grocery.

It means the bank will pay the overdraft and it attracts charges which may vary for different banks.

Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?​

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

what is the answer to

-6+n=6
How do you solve it

Answers

Answer:

n=12

Step-by-step explanation:

-6+n=6

n=6+6

n=12

You have to leave the n by its self so u have to do the opposite of the sign -6 =6 so add the 6 to the other side which gives you 12 so n=12

2÷5 × -4 what Is the answer please? ​

Answers

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

What is the equation of the following graph

Answers

Answer:

y=1 is the equation! :))

Step-by-step explanation:

Use the graph to find the midpoint between O and H.
(4, -1)


(-2, 8)


(8, -2)


(-1, 4)

Answers

Answer:

(-1, 4)

Step-by-step explanation:

-5+3/2 = -1

6+ 2/2 = 4

(-1, 4)

what is the explicit formula for this sequence? -8, -3, 2, 7

Answers

Answer:

an+9n-11

Step-by-step explanation:

Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.

Answers

Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

So,

m = 2d .....(1)

m + d = 120 ...(2)

We can also solve the above equations,

Put m = 2d in equation (2)

2d + d = 120

3d=120

d = 40

Put d = 40 in equation (1)

m = 2(40)

m = 80

Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.

Answer:

d+m=120

d=2m

Step-by-step explanation:

Is 0.88 a terminating decimal

Answers

yes
hope this helped you

Answer:

no

Step-by-step explanation:

its a equation not a decimal making it false.

It takes Brian 15 hours longer to build a model car than it takes John. If they work together, they can build the model car in 4 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Brian to build the car on his own. (10 points)

Answers

Answer:

1/x + 1/( x+15 ) = 1/4  / · x ( x+15 )

   x+15 + x = x ( x+15 ) /4      / · 4

   8 x + 60 = x² + 15 x

   x² + 15 x - 8 x - 60 = 0

   x² + 7 x - 60 = 0

   x² + 12 x - 5 x - 60 = 0

   x · ( x + 12 ) - 5 ·( x+ 12 ) = 0

   ( x + 12 ) · ( x - 5 ) =0

   x = - 12  ( not accepted ) or  x = 5

   The time taken by Brian:  5 + 15 = 20 hours

Step-by-step explanation:

Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?

Answers

The percentage is 70%

At the season finale, you present the winner of Canadian Superstar with a recording-and-tour contract. The contract states that the winner will be paid $5000 per month while on tour plus $2 per CD sold. Rn Did You Know? A) Vrite an equation that relates total earnings in terms of the number of months, m, on tour and the number, n, of CDs sold. In March 2003, Dark Side of the Moon, by Pink Floyd, achieved double diamond status in Canada for selling over 2000000 units. B) How much will the winner earn after the first month if 500 CDs are sold? C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold? D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Winner is paid :

Monthly pay while on tour = $5000

Pay per CD sold =. $2

A) Equation which relates total earning in terms of number of months 'm' while on tour and the number 'n' of CD's sold.

(Monthly pay * number of months) + (pay per CD * number of CD's)

Earning = 5000m + 2n

B) How much will the winner earn after the first month if 500 CDs are sold?

m = 1, n = 500

5000(1) + 2(500) = $6000

C) Suppose after the third month on tour the new recording artist has earned a total of $74 000. How many GDs were sold?

m = 3

74000 = 5000(3) + 2n

74000 = 15000 + 2n

74000 - 15000 = 2n

59000 = 2n

n = 59000 / 2

n = 29500 CD's

D) In Canada, a record album or CD achieves gold status once it seLls 50 000 units. How much will the artist make if the CD goes gold after 6 months of touring?

n = Gold = 50000 ; m = 6

5000(6) + 2(50000)

30000 + 100000 = 130,000

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answers

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

To know more about angle click here

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what is value of x , 1x + 2x = 30​

Answers

Answer:

x = 10

Step-by-step explanation:

1x + 2x = 30​

3x = 30

x = 10

Will Give Brainliest if Correct

Answers

Answer:

(a) 0

(b) -3/26

Step-by-step explanation:

(a)

We essentially plug 1 in for x and 2 in for y.

Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]

So, the answer for part (a) is 0.

(b)

Again, we're now plugging in 1 for x and 5 for y:

[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]

So, the answer for part (b) is -3/26.

Evaluating Rational Expressions

Step-by-step explanation:

So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.

Solution of a:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]

Answer of a:

[tex]0[/tex]

Solution of b:

[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]

Answer of b:

[tex]-\frac{3}{26}\\[/tex]

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Please help ASAP !! Need it rn For each of the following cases [(a), (b), and (c)], (I) state whether the study should be observational or experimental. (II) state whether the study should be run blind, doubleblind, or neither. If the study should be run blind or double-blind, who should be blinded?(a) An investigation of whether taking aspirin reduces ones chance of having a heart attack.(b) An investigation of whether babies born into poor families (family income below $25,000) are more likely to weigh less than 5.5 pounds at birth than babies born into wealthy families (family income above $65,000).(c) An investigation of whether the size of the midsagittal plane of the anterior commisssure (a part of the brain) of a man is related to the sexual orientation of the man. 44 kg of tomatoes cost $352. How manykilograms of tomatoes can you get with$216? A student sets a goal to improve academic performance. Which of the following represents a subjective measurement of progress toward that goal?A.improved grades on individual assignmentsB.higher letter grades at the end of the academic yearC.a greater sense of accomplishmentD.remembering facts learned in classPlease select the best answer from the choices provided.ABCD Eye Deal Optometry leased vision-testing equipment from Insight Machines on January 1, 2021. Insight Machines manufactured the equipment at a cost of $350,000 and lists a cash selling price of $437,810. Appropriate adjusting entries are made quarterly. Related Information: Lease term 5 years (20 quarterly periods) Quarterly lease payments $26,250 at Jan. 1, 2021, and at Mar. 31, June 30, Sept. 30, and Dec. 31 thereafter Economic life of asset 5 years Interest rate charged by the lessor 8% Required: a. Prepare appropriate entries for Eye Deal to record the arrangement at its beginning, January 1, 2021, and on March 31, 2021. b. Prepare appropriate entries for Insight Machines to record the arrangement at its beginning, January 1, 2021, and on March 31, 2021. How do you do this question? A balloon is a sphere with a radius of 5.0 m. The force of air against the walls of the balloon is 45 N. What is the air pressure inside the balloon? Surface area = 12.56 radius 1 Pa = 1 N/m How would I solve this problem? What are the steps or a good way to remeber how to solve? What is the gravitational potential energy, in joules, of a 75 kg person that is 1000.0meter above the ground? Gravitational acceleration = 9.81 m/s2 Which statement best describes the effect of Greeces climate on natural resources? On page 13, Montag and the medical equipment are speaking as they finish treatment on Mildred. The nature of their exchange mainly suggests that the medical equipment operators fill in the blank__________.Answer choices for the above questionA. are consummate professionalsB. are desensitized to the morbid nature of their workC. are interested in Montags emotional wellbeingD. are on their last job of the night A car starts from rest and accelerates for 7.2 s with an acceleration of 1.4 m/s2. How far does it travel? Answer in units of m. The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2) The function g(x) is a transformation of the cube root parent function,f(3) = Vz. What function is g(x)?g(x)O A. g(x) = 1 + 2O B. g(x) = x + 2O c. g(x) = 273OD. g(Q) = vPREVIOUS Make s the subject of the formula T^2=2p+as By considering the discriminant, find thevalue of the constant p such that thefollowing equation has equal/repeatedsolutions.4x2 + 8x + p = 0 HELP ME PLEASE!Conduct online research and write a paragraph in French about the history of Switzerland's currency. A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order. what is a synonym for buttress in the sentence below? the columns acted as an buttress or a support for the porch roof.a . columns b. Porch's roof c. Acted AS d. Support What emotional encounter does Odysseus have while at the Land of the Dead. Why is this an emotional experience for him?