5x + 3y = -3 2X - 3y = 24
2 answers:
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Answer:
The reference angle is
Step-by-step explanation:
The given angle is
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let be the reference angle of
Then, from the diagram, we need to subtract from
to get to
.
We can therefore write the following equation and solve for .
We group like terms to get,
We collect LCM to get,
We simplify to get,
We divide through by
to get,
The correct answer is D.
Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).
h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:
Here, a = 0 and b = 2.
= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.
Answer:
317,988,000
Step-by-step explanation:
We have been given that according to the United States Census Bureau, on September 11, 2014, the population of the United States was increasing by 11 people every 12 seconds.
Let us find number of people increased in 1 minute as:
Now, we will convert 11 years into minutes and multiply by 55 to find increase in population in 11 years.
Upon multiplying 5,781,600 by 55, we will get:
Therefore, the population of United States would increase 317,988,000 in 11 years.