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:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.
O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
Answer:
is sometimes positive and sometimes negative.
Step-by-step explanation:

Take 

Take 

Hence
for
and
for 
So
is sometimes positive and sometimes negative in the interval.
Answer:
5/32 (aka option A) should be the correct answer!
Step-by-step explanation:
ok so... its 5/32 who walks to school!
since there are 5 students who walked to school, and 32 students are in the class, 5/32 should be the correct answer!