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Ierofanga [76]
3 years ago
8

Write the number 210 as a sum of three numbers so that the sum of the products taken two at a time is a maximum. (enter the thre

e numbers as a comma-separated list.)
Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
<span>The best answer for this question would be 70, 70, 70. This is because the question does not specify which two numbers will be taken to create the maximum. If, for example it was known that the first two numbers would be added, we would do better with 105, 105, 0 as the first two numbers would then add up to 210.</span>
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Anettt [7]

Answer: 43\°

Step-by-step explanation:

Observe the given figure.

You can identify that the measure of the angle "B" is:

m\angle B=90\°

Knowing this, you can conclude that the angle "p" and the angle "m" are Complementary angles, which means that the sum of their measures is 90 degrees. Then, you can write the following equation:

m\angle p+m\angle m=90\°   [Equation 1]

You know that:

m\angle p=47\°

Then you can substitute it into the [Equation 1] and then solve for m\angle m. Therefore, you get:

 47\°+m\angle m=90\°\\\\m\angle m=90\°-47\°\\\\m\angle m=43\°

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