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Yakvenalex [24]
3 years ago
7

Can you construct a triangle that has side lengths 8 m 10 m and 19 m

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

NO

Step-by-step explanation:

Draw a triangle and label the sides a, b and c. Now we must know the rule you can use for drawing any triangle:

A+B> c

A+C>B

B+C>A

Sub you numbers into the rule:

8+10, is it greater that 19?

No, 8+10=18 and 18<19

This is proof that you can not draw a triangle with the side lengths of 8m, 10m and 19m.

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3 years ago
Jupiter orbits the sun at a rate of 8 miles per second. How far does Jupitertravel in one day? Tip: There are 86400 seconds in a
gulaghasi [49]

Answer:

Jupiter travels 691200 miles a day

Step-by-step explanation:

I just did 86400 x 8

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3 years ago
La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos
egoroff_w [7]

Answer:

<em>La cantidad de litros que ocupa dicho líquido es:</em>

  • <u>2,12 Litros</u>

Step-by-step explanation:

<em>El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:</em>

  • <em>Densidad = masa / volumen</em>

<em>Al despejar volumen se obtiene:</em>

  • <em>Volumen = masa / densidad </em>

<em>Por lo cual, si se reemplazara la fórmula quedaría:</em>

  • <em>Volumen = 7 Lb / 1.5 gr/cm^3</em>

<em>Sin embargo, </em><u><em>para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad</em></u><em>, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 libra = 453,592 gramos</em>

<em>Entonces:</em>

<em>7 lb =  453,592 gr * 7 = 3175,144 gr</em>

<em>Ahora este valor reemplaza la masa en la fórmula y calculamos:</em>

  • <em>Volumen del líquido =  3175,144 gr / 1.5 gr/cm^3</em>
  • <u><em>Volumen del líquido = 2116,762667 cm^3</em></u><em> (He utilizado todos los decimales para obtener el resultado exacto).</em>

<em>A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 litro = 1000 centímetros cúbicos.</em>

<em>Ahora podemos aplicar una regla de tres simple, si:</em>

  • <em>1000 cm^3 = 1 L</em>
  • <em>2116,762667 cm^3 = x</em>

<em>Y operamos:</em>

  • <em>x = (2116,762667 cm^3 * 1 L) / 1000 cm^3</em>
  • <u><em>x = 2,116762667 L</em></u>

<em>O si quieres un valor aproximado:</em>

  • <u><em>x = 2,12 Litros.</em></u>

<em>Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es </em><u><em>2,12 litros</em></u><em>.</em>

8 0
3 years ago
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour. She returned home by the same route at the aver
drek231 [11]

Answer: Time it took her to get to the school is 0.6 hours

The distance of the school from their home is 27 miles

Step-by-step explanation:

Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.

Let x miles = distance from the school to their home.

Distance = speed × time

Time = distance / speed

Time used in going to school will be

x/45

She returned home by the same route. This means that distance back home is also x miles.

She returned at an average speed of 30 miles per hour.

Time used in returning home from school will be x/30

x/45

If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore

x/30 + x/45 = 1.5

(15x + 10x) /450 = 1.5

15x + 10x = 450 × 1.5 = 675

25x = 675

x = 675/25 = 27

Time it took her to get to the school will be x/45

= 27/45 = 0.6 hours

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3 \sqrt{3}

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