Which of the following is equivalent to (mn)³?a. 3mnb. m³nc. mn³d. m³n³
1 answer:
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Answer:
<em>The average rate of descent over the last 3 hours is 1000 ft/h. </em>
Step-by-step explanation:
<u>Rate of Change</u>
It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.
The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).
The rate of change can be calculated with the slope of the line, which formula is:
Let's pick two points (7,4000) (10,1000):
Note the rate of change is negative, which means the height is decreasing.
The average rate of descent over the last 3 hours is 1000 ft/h.
Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.
<h3>What is the law of sines?</h3>Suppose we have a triangle in which:
- The length of the side opposite to angle A is a.
- The length of the side opposite to angle B is b.
- The length of the side opposite to angle C is c.
The lengths and the sine of the angles are related as follows:
For the situation described, we have that:
- The height is opposite to the angle of 42º.
- The 425 meters are opposite to the angle of 87º.
Hence:
Applying cross multiplication:
h = 284.77 meters.
More can be learned about the law of sines at brainly.com/question/25535771
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