The distance from the base of the telephone pole to Curtis is about 15 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the distance from the base of the telephone pole to Curtis, hence:
tan(51.4) = (24 - 5.2) / d
d = 15 feet
The distance from the base of the telephone pole to Curtis is about 15 feet.
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Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
The sampling method applied is Cluster sampling.
Step-by-step explanation:
A cluster sampling method is the type of sampling where first the entire population is divided into homogeneous groups. Then a random sample of these groups are selected.
After selecting a sample of groups, a random sample of fixed size is selected from each group.
In this case all freshmen are first divided into 30 sections, then 4 random sections are selected and the students in those 4 sections are sampled.
The sampling method applied is Cluster sampling.