Find the arc length of the semicircle

18.8496 units (rounded o1ff to four decimal places)

Step-by-step explanation:

Arc length = 2 × π × r ×

r (radius) = 12 units ÷ 2 = 6 units

Central angle = 180°

For our semicircle, the arc length = 2 × π × 6 × = 18.8495559215 units

Or 18.8496 units (rounded o1ff to four decimal places)

6pi

Step-by-step explanation:

hop it helps

529 and 531

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: