Answer:
only students who have recess at 12 p.m. or later may go out
Step-by-step explanation:
Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:
y = 1.2t + 18
put y = 32
32 = 1.2t + 18
1.2t = 14
t = 14/1.2 = 11.67 hours
Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.
Hence only students who have recess at 12 p.m. or later may go out
The given function is

The general form of the cosine function is

a is the amplitude
2pi/b is the period
c is the phase shift
d is the vertical shift
By comparing the two functions
a = 4
b = pi
c = 0
d = 1
Then its period is

The equation of the midline is

Since the maximum is at the greatest value of cos, which is 1, then

Since the minimum is at the smallest value of cos, which is -1, then

Then substitute them in the equation of the midline

The answers are:
Period = 2
Equation of the midline is y = 1
Maximum = 5
Minimum = -3
-2 and 1 multiply to -2 and sum up to -1.
The total length of the tree will be given by:
Total=(elevation above the ground)+(length of the root)
elevation=28 ft
length of the root=13
thus the length of the tree will be:
28+13
=41 ft
<span>It is absolutely impossible to draw a triangle of sides 150 , 10 and 10 cm. With one side so large, it is impossible, which will make the two angles two small to intersect and the angle will be < 0, which is not possible in a triangle.
i hoped this helped </span>