It takes 8 liters to cover 800 sqft of floor
there are 3.78541 liters in a gallon so it would take 2.11338 gallons to cover the floor
Answer:
The answer is -1.
Step-by-step explanation:
It is a little messy tho. I will assume that you want 3-(4)
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.
Answer:
$5.25
Step-by-step explanation:
3.75/15= 0.25 per oz
0.25* 21= 5.25
