Answer:

Step-by-step explanation:
Factor constant terms:

Divide both sides by -2:

Expand trigonometric functions using the fact:

So:

Factor sin(x) and constant terms and multiply both sides by -1:

Split into two equations:

For (1)
Add 1 to both sides and divide both sides by 8:

Take the inverse cosine of both sides:

For (2)
Simply take the inverse sine of both sides

Therefore, the solutions are given by:

Answer:
use a calculator
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
well we have 15000 gallons, divided by 2500 since its gallons per hour. we have 6 hours
have a good day
Answer:
33.85 units^2
Step-by-step explanation:
you must first draw the triangle on the plane using the equations (see
attached file), you will have a right angle triangle with a height of 192 and a base of 6.
then you calculate the angle with the tangent function = 88.21
Then you use the small triangle to find the value of a (see attached file).
Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,
i attached procedure
The object reaches the lowest height at 5 seconds
<h3>How to determine the time?</h3>
The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
Read more about quadratic functions at:
brainly.com/question/1214333
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