Area of each piece of paper = 8 1/2 x 11 = 17/2 x 11 = 187/2
The greatest number of possible pieces of paper = [1000 ÷ 187/2] = [1000 x 2/187] = [2000/187] = 10
First, we need to find the base. To do so, we will need to use the Pythagorean Theorem on one of the smaller triangles to solve for its unknown side. Then, we can double the base of the one to find the base of the whole.
Pythagorean Theorem: a^2 + b^2 = c^2
(12)^2 + b^2 = (16)^2
144 + b^2 = 256
b^2 = 112
b = 
b = 
total base = 2 x
= 
Second, we can find the area. The formula for the area of a triangle is A = 1/2 x base x height.
A = 1/2 x
x 12
A =
x 12
A =
units^2
Third, we can find the perimeter. The perimeter is the sum of all of the exterior sides.
P = 16 + 16 +
P = 32 +
units
Hope this helps!! :)
white : milk : dark
w : m : d
The ratio of white to not white is 3:4
w : (m+d) = 3:4
The ratio of not dark to dark is 17:4.
(w+m) : d = 17:4
---------
We treat the colons as fraction bars and cross multiply.
4w = 3(m+d) = 3m + 3d
4w + 4m = 17 d
Subtracting,
4m = 17d - (3m+3d) = 14d - 3m
7m = 14 d
m/d = 14/7
m:d = 2:1
Since w:(m+d)=3:4 let's make m+d a multiple of 4.
m:d = 8:4
w : (m+d) = 3:4 = 9:12
w:m:d = 9:8:4
Answer: 9:8:4
Check:
white to non white 9 to 8+4=12 = 3:4, good
non dark to dark (9+8):4=17:4, good
D) y=14-5x
Hope this helps!