V=pir^2(h/3)
V= 3.14x18^2x6/3
V= about <span>2034.72</span>
Considering the angle of the ray, it is found that the value of x is of x = 55º.
<h3>What is the angle of the ray?</h3>
The ray has an angle of 180º. It is composed by:
Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
More can be learned about angles and rays at brainly.com/question/25770607
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Answer:
Slope = -2
Step-by-step explanation:
Since, slope = 
Rise = -(y-intercept)
Run = (x-intercept)
From the graph attached,
y - intercept = -(4) = -4
x - intercept = 2
Therefore, slope the line given in the graph attached will be,
Slope = 
= -2
Slope = -2
Answer:
Step-by-step explanation:
The average scores s (on a 100 point scale) for the students can be modeled by
s = 75 - 6 In(t + 1), 0 < t < 12
where t is the time in months.
a) Since the students were given an exam and then retested monthly with equivalent exams, then,
For the original exam, t = 0
Therefore,
s = 75 - 6 In(0 + 1) = 75 - 6 In1
s = 75 - 6 × 0 = 75
b) the average score after 4 months, t = 4
Therefore,
s = 75 - 6 In(4 + 1) = 75 - 6 In5
s = 75 - 9.66 = 65.34
c) s = 60
Therefore,
60 = 75 - 6 In(t + 1)
6 In(t + 1) = 75 - 60 = 15
In(t + 1) = 15/6 = 2.5
t + 1 = e^2.5 = 12.18
t = 12.18 - 1 = 11.18
t = 11 approximately
