Given:
The given equation is:
Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.
To find:
The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.
Solution:
We have,
The height of the ball is at least 36 feet above the ground. It means 
.
Splitting the middle term, we get
The critical points are:
These two points divide the number line in 3 intervals 
.
Intervals Check point Result
0 
False
4 
True
8 
False
The inequality is true for (2,6) and the sign of inequality is 
. So, the ball is above 36 feet between 2 to 6 seconds.
Therefore, the required inequality is and the ball is 36 feet above for 4 seconds.
Answer:
The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.
Step-by-step explanation:
The method we will use to solve applications with linear inequalities is very much like the one we used when we solved applications with equations. We will read the problem and make sure all the words are understood. Next, we will identify what we are looking for and assign a variable to represent it. We will restate the problem in one sentence to make it easy to translate into an inequality. Then, we will solve the inequality.
Answer:
C) (square root 2)/2
Step-by-step explanation:
In quadrant III, the sine of an angle is positive. The value will be ...
sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)
sin(Θ) = (√2)/2
C
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