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Novosadov [1.4K]
3 years ago
13

Find the value of z​

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

z = 12 \sqrt{5}

Step-by-step explanation:

By geometric mean property:

y =  \sqrt{24 \times 6}  \\  \\ y =  \sqrt{144}  \\  \\ y = 12

By Pythagoras Theorem:

z =  \sqrt{ {12}^{2}  +  {24}^{2} }  \\  \\ z =  \sqrt{144 + 576}  \\  \\ z =  \sqrt{720}  \\  \\ z = 12 \sqrt{5}

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3 years ago
You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much
ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: x+y=660        ...(1)

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On solving (1) and (2), we get

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x=605  

Therefore, we need 605 mL of the 35% solution  and 55 mL of the 95% solution.

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Step-by-step explanation:

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