The given figure is a rectangular prism. It has 6 faces or 6 planes.
A plane shape, in geometry, is defined as a closed, two-dimensional or flat figure.
The 6 planes are composed of 4 points each.
1.) Plane ABDC
2.) Plane CDHG
3.) Plance ACGE
4.) Plane EFHG ⇒ This is the plane that contains points E, F, and H.
5.) Plane BDHF
6.) Plane ABFE
Answer:
The value of the constant is 3
Step-by-step explanation:
Let
y ----> the height
x ----> the width
we have
This is the equation of a linear direct variation
The equation of the line passes through the origin
we have the points
(0.5,1.5), (2,6) and (3,9)
see the attached figure to better understand the problem
Find the value of the constant of proportionality k
For (0.5,1.5) ----> 
For (2,6) ----> 
For (3,9) ----> 
therefore
The value of k is equal to 3
The linear equation is
or
Answer:
A = 6.13e^(0.00884769t)
Step-by-step explanation:
The exponential growth model can be written two ways. Comparing them, we can find the value of k.
A = 6.13×(7.00/6.13)^(t/(2015-2000)) = 6.13×e^(kt)
Dividing by 6.13 and taking natural logs, we get ...
t/15×ln(7.00/6.13) = kt
k = ln(7.00/6.13)/15 . . . . . divide by t
k ≈ 0.00884769
Then the exponential growth function can be written as ...
A = 6.13e^(0.00884769t)
Mid section: 15 * 7 = 105
left triangle: 1/2 * 4 * 7 = 14
right triangle: 1/2 * 6 *7 = 21
total: 105 + 14 + 21 = 140 in^2
