There is a room that has 5 walls. wall 1 and wall 3 are 52ft wall 2 is 30ft wall 4 is 35ft wall 5 is 6ft the distance from floor to ceiling is 8.5ft. if a 1/2 gallon of paint covers 175sqft. how many gallons of paint is needed for 2 coats of paint on all

8.32 gallons of paint is needed.

Step-by-step explanation:

We have that the room has 5 walls with dimensions,

Height = 8.5 feet

Lengths = 52, 52, 30, 35 and 6 feet respectively.

As the walls are in rectangle form, and 'Area of a rectangle = Length × Height'

So, the area of the walls are,

A₁ = 52 × 8.5 = 442 ft²

A₂ = 52 × 8.5 = 442 ft²

A₃ = 30 × 8.5 = 225 ft²

A₄ = 35 × 8.5 = 297.5 ft²

A₅ = 6 × 8.5 = 51 ft²

Thus, total area of the walls = 442 + 442 + 225 + 297.5 + 51 = 1457.5 ft²

Since, 175 ft² is covered by gallons of paint.

Then, 1457.5 ft² is covered by i.e. i.e. 4.16 gallons of paint.

For 2 coats of paints on all walls, we need 4.16 × 2 = 8.32 gallons of paint.

Hence, 8.32 gallons of paint is needed.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

y > 1/3x

y < = -x + 4

hope this : )