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3 years ago

Solve. k 5 + 9 = 22 k =

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x<3 Equation/Question

Step 2

-3x<3 Simplify

-3x<3

Step 3

-3x<3 Divide by -3

Answer

x>-1

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Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to

bekas [8.4K]

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

cos B= (a^2 + c^2 - b^2)/2ac

cos C = (a^2 + b^2 - c^2)/2ab

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s^2 + s^2 - s^2)/(2s×s)

cos A = (s^2 )/(2s^2)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s^2 + s^2 - s^2)/(2s×s)

cos C = (s^2 )/(2s^2)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here: brainly.com/question/2866347

#SPJ1

3 0

2 years ago

1. Analiza cada problema y realiza su diagrama.

Maru [420]

Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.

<h3>Cómo construir un diagrama a partir de un enunciado</h3>

En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.

Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.

Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.

A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.

Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/10092453

7 0

2 years ago

Which ratio is equal to the number π

Blizzard [7]

Answer: 3.14

Step-by-step explanation:

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

7 0

3 years ago

A piggy bank contains $5.45 in dimes and quarters. If the bank contains 29 coins, how many quarters are in the bank?

Sveta_85 [38]

The answer is 21 quarters

6 0

3 years ago

Read 2 more answers

What would the new point be If you rotated the point (3,-5) 270 clockwise.

timurjin [86]

Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

5 0

3 years ago