Answer:
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
Formula for nth term in Arithmetic sequences is:
where a is the first term, d is the common difference and n is the number of terms.
As per the statement:
The rule for the pattern is add 4.
As the first term in line says the first term i,e 7
common difference(d)= 7
As the Jenna number is 8th in line.
Series we get;
7, 11, .........
We have to find the 8th term.
n = 8, a = 7 and d = 4
Using above formula:
Therefore, 35 number should Jenna say.
Answer: a)
b)
c)
Step-by-step explanation:
Given : Number of students : 11
Number of faculty members : 13
Total persons :
Total number of ways to structure a jury of six people from a group of 24 people :-
a) Number of ways of selecting a jury of all students :-
Then , the probability of selecting a jury of all students :-
b) Number of ways of selecting a jury of all faculty :-
Then , the probability of selecting a jury of all students :-
c) Number of ways of selecting a jury of two students and four faculty :-
Then , the probability of selecting a jury of all students :-