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lawyer [7]
3 years ago
5

Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

9514 1404 393

Answer:

  18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

  V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

  32·18·12 = 24·16·h

  (32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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Solve the equation v³ = 12.
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2.2894

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v3 = 12

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1 year ago
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3 years ago
9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare
prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

\frac{74}{9 - v} - \frac{74}{9 + v} = 5

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⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) }  }{2(5)} (Neglecting the negative root)

⇒ v = \frac{- 148 + 173.2166}{10} = 2.5 mph (Rounded to the nearest 10th) (Answer)

7 0
4 years ago
Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.
Alex
C=\{2;\ 4;\ 6;\ 8;\ ...;\ 98\}\\\\D=\{10;\ 20;\ 30;\ 40;\ 50;\ 60;\ ...;\ 140\}\\\\C\ \cap\ D=\{10;\ 20;\ 30;\ 40;\ 60;\ 70;\ 80;\ 90\}\\\\Answer:\boxed{A}
4 0
3 years ago
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