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.

Invitamos cordialmente a ver esta pregunta sobre polígonos: https://brainly.com/question/10956189


Related Questions

66°
OT 6
11
12/13
Find the measure of the angle

Answers

B g I gcm gzhzrdyzrabc Vega. BzdzdGvm


Reorder the steps to construct Angle JOB, a copy of Angle A.

__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.

Answers

Answer:

The right order is given as follows;

_Draw a ray that will become one of the two rays of the new angle, label OB

_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A

_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass

_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.

_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.

_Construct OJ

Step-by-step explanation:

1) The first step is to draw a line in the location where the angle to be copied is to be constructed

2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays

3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes

4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction

5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.

You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show

Answers

Answer:

the answer would be $45

Step-by-step explanation:

The answer is $48 because you plus your 5 friends is 6 so you multiply 6 x 8 which gives you 48

PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))

TY

Answers

Answer:

nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank

Step-by-step explanation:

expand 2t(6t-3) please

Answers

I think the answer is 12t^2-6t

Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold

Answers

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.

How many terms are in the expression 76-3a + 4b + 5a?

Answers

Answer:

4

Step-by-step explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs

Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13

Answers

The answer for is a) x=12

Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.

Answers

Answer:

Soccer = 120

Tennis = 220

Step-by-step explanation:

The total number of students enrolling for soccer and tennis classes is, 340.

The ratio number of students enrolling for soccer and tennis classes is, 6:11.

Then,

6x + 11x = 340

17x = 340

x = 20

The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.

describe the shape of the cross section formed by the intersection of the plane and the solid​

Answers

Answer:

What are the Answers?

Step-by-step explanation:

Rectangle is the shape of the cross section formed by the intersection of the plane and the solid​.

If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.

The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.

The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Is 25 x 10 to the power of 0 in scientific​ notation? If​ not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.

Answers

Answer:

a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.

Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.

The scientific notation would be:

2.5x10^1

b) Why is this useful?

Because we divide all our measures in powers of 10.

For example, you know that 1 meter  = 100c

But we can also write this as:

1m = 1.0*10^3 cm.

The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.

Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.

Linear Function A

Points : (-5, -2), (-5, 7)

Linear Function B

Points : (7, -5), (-2, -5)

Which is true about the following:

1. Function A has...

A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope

2. The equation of line A is :

A: X= -5
B: Y= -5
C: X= -2
D Y= 7

Function B has...

A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope

The equation of Line B is :

A: X= -5
B: Y= -5
C: X= -2
D: Y= 7

Answers

Answer:

This answer is option 1

Step-by-step explanation:

The awnser is No slope,x=-5,A slope of 0,and y=-5

8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP

Answers

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1


Answers

Answer: The points C(1,2) and E(2,2) make both inequalities true

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area below the dashed line

------> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution

Plot the points and verify if lie on the shaded area

Let

see the attached figure

The points C(1,2) and E(2,2) lie on the shaded area

The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A

The point D(2,-1) satisfy inequality A but don't satisfy inequality B

therefore

The points C(1,2) and E(2,2) make both inequalities true

20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c​

Answers

Answer:

[tex]x (-1,7)[/tex]

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]

In our example,

[tex]A^2+2AB+B^2=(A+B)^2[/tex]

   A is equal to 5x,

    B is equal to -19 and

   N is equal to 2.

[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]

you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase

Answers

Answer:

7

Step-by-step explanation:

one bag of candy for every three people

12 ÷ 4 = 3

21 ÷ 7 = 3

Answer:

7  

Step-by-step explanation:

Apply proportions:

People/bag of candy

[tex]\frac{12}{4}[/tex]

For 21 people

[tex]\frac{21}{x}[/tex]

Equal both expressions

[tex]\frac{12}{4} =\frac{21}{x}[/tex]

Solve for x:

[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]

You should purchase 7 bags of candy

Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?

Answers

Step-by-step explanation:

it's not same but u can find your answer through it

Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.

Answers

Answer: Choice C) Undefined slope is when there is no vertical change

If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.

This is because the slope formula

m = (y2-y1)/(x2-x1)

has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.

Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $

Answers

Answer:

Rachel earn $85 in 10 hours.

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.

1 hour = $(34/4)

= $8.5

He earns $8.5 in an hour.

To find his earning in 10 hours, multiply $8.5 by 10. So,

Earning =  $8.5 × 10

= $85

Hence, Rachel earn $85 in 10 hours.

Answer:

85

Step-by-step explanation:

I am right

Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?

Answers

Answer:

22.22222222

Step-by-step explanation:

Answer:

the race is 22 miles long.

Step-by-step explanation:

p         %

~~  =  ~~

w        100

Should it matter if areas far from large cities lose population?

Answers

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.

Answers

Given:

The amount of fuel remaining in a gas grill is a function of the number of hours.

[tex]F(h)=100-2h[/tex]

To find:

The domain for this situation.

Solution:

Domain is the set of input values.

The amount of fuel remaining in a gas grill F(h) is

[tex]F(h)=100-2h[/tex]

where, h is the number of hours.

Here, domain is the set of all possible values of h.

We know that, time and remaining fuel cannot be negative. So,

[tex]h\geq 0[/tex]      ...(i)

[tex]F(h)\geq 0[/tex]

[tex]100-2h\geq 0[/tex]

[tex]100\geq 2h[/tex]

[tex]50\geq h[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]0\leq h\leq 50[/tex]

Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].

Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?

Answers

Answer:

9 command Cards

Step-by-step explanation:

Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times

Answers

Answer: a distribution with a known shape and other properties.

Step-by-step explanation: 10 dice rolled 1000 times

Answer:is below

Step-by-step explanation:

10 dice rolled 100 times

Solve for x:
7x-99+ 2x+1
please helpppp

Answers

Answer:

x = 20

Step-by-step explanation:

7x - 99 = 2x + 1  (vertically opposite angles are equal)

Rearrange

5x = 100

x = 20

Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?

Answers

Dude this is just 8 times 4 but okay it is 32

A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?

Answers

Answer:

5

Step-by-step explanation:

Given that:

Weight of package delivered = 100 - 120 pounds

Number of packages carried per trip is atleast 10 = ≥ 10

Total weight of packages must be at most 1,100 ≤1,100

The maximum number of 120 pound packages the helicopter can carry:

Maximum capacity = 1100 pounds

Number of packages ≥ 10

Let number of 110 packages carried = x

Number of 120 packages carried = y

x + y ≥ 10 - - (1)

100x + 120y ≤ 1100 - - - (2)

From (1): x ≥ 10 - y

100(10 - y) + 120y ≤ 1100

1000 - 100y + 120y ≤ 1100

1000 + 20y ≤ 1100

20y ≤ 1100 - 1000

20y ≤ 100

y = 5

y = number of 120 pound packages carried

y = 5

Answer:

5

Step-by-step explanation:

Let

x = number of 100 pound packages

y = number of 120 pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

x + y ≥ 10

x ≥ 10 - y

Total weight of the packages the helicopter can deliver can be at most 1,100 pounds

100x + 120y ≤ 1100

Divide through by 20

5x + 6y ≤ 55

Substitute x ≥ 10 - y into the equation

5(10 - y ) + 6y ≤ 55

50 - 5y + 6y ≤ 55

y ≤ 55 - 50

y ≤ 5

Therefore, the maximum number of 120 pound packages helicopter can carry is 5.

A truck can be rented from Company A for ​$60 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

So this isn't a answer:

This is to help you understand how to do it in the future.

So we are going to let HOW MANY MILES GO BY be represented as (m)

Company A

60 + (m + .20) = final cost

Company B

20 + (m + .60) = final cost

Now you have to plug in numbers till you get your total miles left.

Have a good Day!!

For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?

Answers

Answer:

32 cups

Step-by-step explanation:

hope this helps plz mark brainliest

4x+1=x-5 slove for x

Answers

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]

Simplify

x = −2

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