Find the volumes of each separate rectangular prism, (top) 9 x 4 x 12 = 432 cubic meters, (bottom) 10x2x2 = 40 cubic meters, and then add them together to get the overall volume, 40+432 = 472 cubic meters. the strategy is using length times width times height, LxWxH.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
Answer:
The maximum profit is reached with 4 deluxe units and 6 economy units.
Step-by-step explanation:
This is a linear programming problem.
We have to optimize a function (maximize profits). This function is given by:

being D: number of deluxe units, and E: number of economy units.
The restrictions are:
- Assembly hours: 
- Paint hours: 
Also, both quantities have to be positive:

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

The maximum profit is reached with 4 deluxe units and 6 economy units.
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
Answer:
C = 69.1 ft
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
C = 2* 3.14 * 11
C =69.08
Round to the nearest tenth
C = 69.1 ft