Iwant to paint all three walls of the kitchen. one wall is half a cylinder. i want to paint the walls only, not the ceiling. the walls are 9' high. how many square feet will i be painting? round to the nearest tenth.

335.5 sq ft.

Step-by-step explanation:

Let's start with the 2 straight 10-feet long walls, it's easier.

Each of those two wall sections are 10 feet long by 9 feet high...  They're rectangles, so their area is their base (10) by their height (9).

Wall 1 = 10 x 9 = 90 sq ft

Wall 2 = 10 x 9 = 90 sq ft

Now the half-circle portion.

The trick here is to calculate half of the circumference. The circumference of a circle is given by C = 2 π r, but we only want half of it... so C/2 = π r

We have the radius (r = 5.5 ft).

So, the half circle has a (half) perimeter of: 5.5 π r = 17.28 ft

Then we multiply this by the height of 9 feet: 17.28 = 155.52 sq ft

Then we add the two other walls:

Total area = 90 + 90 + 155.52 = 335.52, which we round down to 335.5 sq ft.

yes they are the same

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)