A band went to a recording studio and recorded 4 songs in 3 hours. How many hours would it take the band to record 9 songs if th
2 answers:
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Answer:
<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>Step-by-step explanation:
If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.
We have the proportion:
and equations:
We have:
For y we must use the Pythagorean theorem:
<em>cross multiply</em>
<em>divide both sides by 8</em>
Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:
For item a, taking the data from the table, we have that:
- f(0) = 0.
- f(4.6) = 138.
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
- f(9.2) = 23.
- f(11.5) = 0.
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
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