Find the perimeter of this semi-circle with diameter, d = 48cm. Give your answer as an expression in terms of .
d cm

P = 75.40 cm

Step-by-step explanation:

Given that,

The diameter of the semicircle, d = 48 cm

Radius, r = 24 cm

The perimeter of the semicircle is given by :

So, the perimeter of the semicircle is 75.40 cm.

Given :

Diameter of the semi-circle is, d = 48 cm.

To Find :

The perimeter of this semi-circle.

Solution :

We know, perimeter of semi-circle is given by :

P = πr

We know, r = D/2

r = 48/2 cm

r = 24 cm

Putting value of r in equation 1) we get :

P = π × 24 cm

P = 75.4 cm

Hence, this is the required solution.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.