The picture shows a feeding trough that is shaped like a right prism.
(a) the top of the feeding trough is open so that the animal can access it's contents. list the area of each face of the feeding trough.
(b) what is the surface area of the trough?
theres to parts anwser part (a) and part (b)

Given,

There is a feeding trough shaped like a rectangular right face ( opened from the top face ),

Having length, l = 6 m,

Width, w = 4 m,

And, height, h = 5 m,

(a) Since, each face is rectangular shape,

Thus, the area of front face or back face = l × h = 6 × 5 = 30 m²,

Area of bottom face = l × w =  6 × 4 = 24 m²,

Area of either of side face ( left face or right face ) = w × h =  4 × 5 = 20 m²,

(b) We know that the surface area of a rectangular prism is,

A = 2(lw + wh + hl)

= 2 (24+20+30)

= 2(74)

= 148 m²

Since, feeding trough is open from the top,

So, its surface area would be get after subtracting top face area from total surface area of the prism,

Also, the area of open face = l × w =  6 × 4 = 24 m²

Hence, the total surface area of the feeding trough = 148 - 24 = 124 m²

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)