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lilavasa [31]
3 years ago
7

The length of the hypotenuse in a 30°-60°-90° triangle is 6√10yd. What is the

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

Long leg = 3√30 yards.

Step-by-step explanation:

Ratio of the long leg to the hypotenuse = √3 to 2.

So (6√10) / x = 2 / √3

2x =  6√10√3

x = 3√10√3

x = 3√30

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El Papa de blanca destino la tercera parte de su salario quincenal para comprar alimentos y la mitad para pagos diversos si le s
kherson [118]

Answer:

El papá de Blanca gasta $1,000 de su sueldo en alimentos.

Step-by-step explanation:

En primer lugar, se designa a la letra S como la cantidad total del salario de la persona.

Sabiendo que el papá de Blanca destina la tercera parte de su salario para comprar alimentos, y que la tercera parte de un número es la división de ese número entre tres, entonces se tiene la expresión:

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Ahora sabes que el papá de Blanca destina la mitad de su salario en diversos gastos, y siendo la mitad de un número es la división de ese número entre dos, se obtiene la expresión:

Gastos: G=\frac{S}{2} =\frac{1}{2} S

El papá de Blanca gasta su salario en alimentos y en otros gastos y le sobran $ 500. Esto es expresado mediante:

Alimentos + Gastos + 500 = Salario

Entonces:

A + G + 500 = S

Sustituyendo A y G:

\frac{1}{3} S+\frac{1}{2} S+500=S

Resolviendo:

\frac{5}{6} S+500=S

500=S- \frac{5}{6} S

500= \frac{1}{6} S

\frac{500}{\frac{1}{6} } =S

3,000= S

Entonces el salario del papá de Blanca es de $ 3,000

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A=\frac{1}{3} *S= \frac{1}{3}* 3,000

A= 1,000

<em><u>El papá de Blanca gasta $1,000 de su sueldo en alimentos.</u></em>

6 0
3 years ago
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