Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer:
V = 32/3 pi
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
We know the radius is 2
V = 4/3 pi (2)^3
V = 4/3 pi (8)
V = 32/3 pi
Answer:
140
Step-by-step explanation:
30+30=60
40+40=80
60+80=140
Given:
Book club A charges $20 for membership and $2 per book rental.
Book club B charges $10 for membership and $3 per book rental.
To find:
The number of books for which the cost be the same at both book clubs.
Solution:
Let x be the number of books.
Book club A charges $20 for membership and $2 per book rental. So, the total cost is
...(i)
Book club B charges $10 for membership and $3 per book rental. So, the total cost is
...(ii)
Equating (i) and (ii), we get
The total cost is
Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.
The period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
A periodic function goes through 5 complete cycles in 4 min
From the question:
f = 5/4 cycles per minutes
f = 5/240 cycles per seconds [1 minutes = 60 seconds]
f = 1/48
Period = 1/f
Period = 48 minutes
Thus, the period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.
Learn more about the function here:
brainly.com/question/5245372
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