Help me out! What's the answer?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

6 0

Answer:

5√2

Step-by-step explanation:

The 45-45-90 triangle theorem states that the length of a triangle's hypotenuse is √2 times the length of the triangle's leg. In this problem, the triangle's leg is equal to 5, meaning that the hypotenuse would be 5 x √2, which is equal to 5√2.

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A 13 L solution that was 12% vinegar was mixed with a 9 L solution that was 70% vinegar. What is the concentration of the new mi

erastovalidia [21]

Answer:

The concentration is simply 36%

Step-by-step explanation:

In this question, we are concerned with calculating the concentration of a new mixture formed from mixing some liters of each of two vinegar variants of different concentrations.

We proceed as follows;

The concentration of the new solution will contain 12% of 13L vinegar A and 70% of 9L vinegar B

13L of vinegar A will contain 13 * 12% = 13 * 0.12 = 1.56

9L of 70% vinegar B will contain 9 * 70% = 9 * 0.7 = 6.3

Now, the new mixture has a total volume of 13 + 9 = 22L

The concentration of the new mixture will thus be;

(1.56 + 6.3)/22

= 0.357 and that’s approximately 0.36 or simply 36%

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