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Deffense [45]
3 years ago
5

9 60° A) x = 18, y=9V6 B) x=9V3, y=9V3 C) x = 18, y=9V3 D) x =9V3, y=9V6

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

C. x = 18, y = 9\sqrt{3}

Step-by-step explanation:

In a 30-60-90 triangle,

longer leg = \sqrt{3} (shorter leg)

hypontenuse = 2(shorter leg)

In your case, the shorter leg = 9

therefore, y = 9\sqrt{3}    and x = 2(9) = 18

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lord [1]

Answer: 1\dfrac13 cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

x_1=\dfrac13\  , y_1=\dfrac34 ,  y_2=3

Put these values in an equation we get

\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13

Hence, he needs 1\dfrac13 cups of pineapple juice .

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Answer:

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