calculate w reasons the size of the unknown angles ​

La expresión numérica que representa el número de fósforos según el número de triángulos es: x=2n+1

Vamos a suponer que los triángulos se disponen de la manera mostrada en el diagrama (ver diagrama adjunto)

En este caso vamos viendo un patrón, por cada nuevo triángulo vamos necesitando dos fósforos adicionales.

[tex]x_{n}=a+d(n-1)[/tex]

En este caso vamos a definir dos variables:

x = número de fósforos

n = número de triángulos

El patrón que vimos arriba se puede escribir de la siguiente manera:

x=3+2n

pero mucho ojo, esta fórmula es válida únicamente si empezamos a contar de n=1 triángulo adicional (osea cuando tenemos 2 triángulos). Si usamos n=1 obtenemos:

x=3+2(1)=5 (el cual es el resultado para 2 triángulos, no 1)

Esto se puede arreglar restándole un 1 a la x para que de esa forma, la fórmula sea válida cuando usamos x=1 triángulo, así que obtenemos:

x=3+2(n-1)

(Esta es la forma general de una secuencia aritmética.)

Ahora bien, esta fórmula puede ser simplificada usando álgebra, así que obtenemos:

n=3+2x-2

lo cual nos da:

n=2x+1

por lo que la expresión numérica que representa el número de fósforos según el número de triángulos es: n=2x+1

Puedes encontrar más información sobre secuencias aritméticas en el siguiente enlace:

https://brainly.com/question/15456604?referrer=searchResults

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

Answer:

circumference = 25.12 yards

area = 50.24 yards squared or yd^2

Step-by-step explanation:

circumference = pi * d

3.14 * 8 =

25.12

area = pi* r^2

r = 1/2 of d = 4

area = pi * 16

3.14 * 16 =

50.24

Answer:

Area: 50.24yds^2            Circumference: 25.12yds

Step-by-step explanation:

Area: The formula for area of a circle is a = πr^2.

The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:

A = (3.14)(4)^2

A = (3.14)(16)

A = 50.24yds

Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.

C = 2(3.14)(4)

C = 25.12yds

Hope this helps

Answer:

[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]

Answer and Step-by-step explanation:

A box office predicts to open the weekend box office gross for a movie, and analysts plan to use the online trailer views as a predictor. The 66 movies and the number of the online trailers view from the trailer through the Saturday before the movie and open the weekend box office gross in a million dollars. Linear regression was performed on the data, and the result is the linear regression equation such as Y = -0.724 + 1.41X. At 0.05 level of significance, the linear relationship between the view and opening weekend is as H0: B1 = 0 H1:B is not equal to 0. To compute the test statistic, do the test. The standard error of deviation for this is Syx = 20.702, and the line model is appropriate. Click the icon to view the data on trailer views and open the weekend box office gross. The linear relationship between the trailer views and opening weekend box gross is to compute the test statistics at the level of significance. The test statistic is round to two decimal places as needed, and the p-value is round to three decimal.

1 liter = 1000mL

Divide 1000mL by mL per minute:

1000 / 5 = 200 minutes ( 3 hours and 20 minutes)

Answer:

okie dokie 5557/57890/6678/2559

Answer:

Part 1; The point (m, 4) divides the line externally in the ratio 3:2

Part 2; m = -19

Step-by-step explanation:

Part 1

The given point dividing the line = (m, 4)

The given points on the line = (5, 1) and (-3, 2)

Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)

Therefore, we have;

The vertical distance from 4 to 1 = 4 - 1 = 3 units

The vertical distance from 4 to 2 = 4 - 2 = 2 units

Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2

Part 2

Therefore, we have;

(m - 5)/(m - (-3)) = 3/2

3·m + 9 = 2·m - 10

m = -19

======================================================

Explanation:

We get this point by doing two things.

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]

Answer:

6.8=6 8/5

.

.

.

.

.

.

.

hope it help

A = pi x r x l

= 3.14 x 5 x 13

= 204.1

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Answer:

i think second number.

not sure but i think that's the answer

Answer:

Step-by-step explanation:

Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,

75 = 4x + 7 and

68 = 4x so

x = 17

Answer:I’m not sure

Step-by-step explanation: try and use the scientific demos

Answer:

C

Step-by-step explanation:

Consider trapezoid ABCD with

A is the midpoint of ED

C is the midpoint of BF

=> AC is the median of trapezoid EBFD

=>(EB+DF) / 2 = AC

=>(13+x) / 2 = 19

=> 13+x = 38

=> x= 25

The value of x is 5.

According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:

(a/b) = c

Where the values of a = 13, b = 19

Now, we can substitute the given values into the proportionality equation:

(13/19) = c

Next, we can cross-multiply the equation:

c = 0.68

Then the value of x is calculated by adding 4.32 on it then we get the value of x as

=>  x = 0.68 + 4.32

=> x = 5

Hence the correct option is (b).

To know more about triangle here

https://brainly.com/question/8587906

#SPJ2

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number

Before we can decide which option is correct, first we must integers and real numbers are.

Given the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)

Hence the set of numbers are not all negative integers since 0 is not a negative integer.

They are not all positive integers rather they are mostly negative integers

They are not all positive and negative real values because zero is not a real integer.

Hence we can conclude that None of the options is correct.

Learn more here: https://brainly.com/question/2691012

Answer:

0.012

Step-by-step explanation:

Have a good day.

Answer:

.01

Step-by-step explanation:

Change the percent to decimal form

.04% = .0004

.0004 *30

.012

Round to the nearest hundredth

.01

Answer:

6

Step-by-step explanation:

how often is that question posted here ?

this means that we need to find the value of x, so that the functional (result) value is 7.

7 = (3x - 4)/2

14 = 3x - 4

18 = 3x

x = 6

Answer:

x = -6 and y = -9

y = 0

Step-by-step explanation:

A vertical line is an x = equation. No matter what y equals, x will always be -6, so it's x = -6. A horizontal line is a y = equation. No matter what x equals, y will always be -9, so it's y = -9. Finally the equation of the x axis is simply y = 0 since any point on that horizontal line has a y coordinate of 0.

Answer:

x = -6 and y = -9

thectgod ig

Answer:

the answer to this is:

[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]

Step-by-step explanation:

Answer:

45.1

Step-by-step explanation:

m<A = 51°

For angle A, BC is the opposite leg.

AB is the hypotenuse.

sin A = opp/hyp

sin 51° = BC/58

BC = 58 * sin 51°

BC = 45.1

Answer:

it's 200

Step-by-step explanation:

it is rounded to 200 because the last two digit which are 62 should be 50 or above.

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

please mark this answer as brainlist

Answer: (3b+2)(b+2)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

18.8

Step-by-step explanation:

You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.

[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

sec² θ (1 + sin θ) (1 - sinθ ) = k

sec² θ(1-sin²θ ) = k

sec² θ cos² θ = k

sec² θ. 1 /sec²θ = k

1 = k

.. k = 1.

Answer: 441 pages

Step-by-step explanation:

[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]