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Tamiku [17]
3 years ago
12

∠3 is a complement of ∠4, and m∠3=46°. Find m∠4.

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

m < 4 = 44 degrees

Step-by-step explanation:

Here, we want to find the value of the given angle.

Mathematically, when two angles are complement of each other, they add up

to be 90 degrees. These angles are termed complementary angles.

Thus, by mathematical convention is this present case;

m <3 + m< 4 = 90

46 + m<4 = 90

m<4 = 90-46

m< 4 = 44 degrees

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Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>

The rate at which the temperature is dropping is 6t + 5t^2 degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

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Applying <em>separation of variables</em>, we find the solution as follows:

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In 3 hours, the change will be of:

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