Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
Answer:
x=4
Step-by-step explanation:
since triangles are proportional by 2:1, then:
16/2=3x-4
8=3x-4
3x=12
x=4
Answer:
5/8
Step-by-step explanation:
if 1/8 is used for one batch . for five batch=1/8*5=5/8
Answer:
21 kilometers
Step-by-step explanation:
Let the height be 
. Then, the length of the base is 
. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to 
, which is in turn equal to 441. Since must be positive, then 
, meaning that the height is 
kilometers.
Answer: 2.88/1
Step-by-step explanation:
