Find the surface area of the triangular prism below.​

Surface area of the triangular prism = 186.984 feet²

Step-by-step explanation:

Surface area of the triangular prism is given by the expression,

Surface area = (Perimeter of the triangular base)×Height + Area of the triangular bases

Perimeter of the triangular base = (9.8 + 8.5 + 6.2)

                                                      = 24.5 ft

Height of the prism = 5.5 ft

Area of the triangular base =

                                             =

                                             = 26.117 square feet

Surface area of the prism = (24.5 × 5.5) + (26.117 × 2)

                                           = 134.75 + 52.234

                                           = 186.984 square feet

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.