The arc length of the circle is 5π/9 units
<h3>How to determine the arc length?</h3>
From the question, we have the following parameters
Angle, ∅ = 5π/9
Radius, r = 1 unit
The arc length (x) is calculated as
x = r∅
Substitute the known values in the above equation
x = 5π/9 * 1
Evaluate the product
x = 5π/9
Hence, the arc length of the circle is 5π/9 units
Read more about arc lengths at:
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Answer:
88 adult tickets and 77 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.
adult tickets + student tickets = 165 tickets
8x + 7x = 165
15x = 165
x = 165 ÷ 15
= 11
No. of adult tickets sold (8x) = 11 × 8
= 88
No. of student tickets sold (7x) = 11 × 7
= 77
Chain rule:
if
y=y(u) and u=u(x)
The dy/dx=(dv/du)(du/dx)
In our case
y=arcsin(u)
u=sin(x)
dy/du=1/√(1-u²) = 1/√(1-sin²x)
du/dx=cos x
dy/dx=cos x /√(1-sin²x)
Answer: dy/dx=cos x /√(1-sin²x)
