A rocket leaves the surface of Earth at time t=0 and travels straight up from the surface. The height, in feet, of the rocket ab

It likely represents an image of a triangular prism here. 

Hello!

(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45

x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45

Under what conditions do (a+b) equal -12 and ab equal -45?

+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45

Conclusion:

(x+3)(x-15) 

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is,

The circle's radius is,

The area of a sector with radius 'R' and angle can be determined with:

Substituting gives

Thus, the area of the shaded sector calculates to 144π square units.

Response:

The Work In Progress (WIP) limit is set at 0.50 days.

Detailed explanation:

Calculating WIP limits:

first, it is essential to determine the efficiency of the process and procedure, which can be calculated as follows:

Value Added Time = 12 days (arrival time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

                = 12 / (12+12)

                = 12 / 24

               = 0.50 or 50%

the minimum required throughput time is 0.25 days to achieve the maximum profits

WIP limit = Throughput time / Efficiency

               = 0.25 / 50%

               = 0.50 days.

The WIP limit is 0.50 days.

square. The opposite angles are equal, the diagonals intersect at midpoint, opposite sides remain parallel, and the diagonals bisect the angles.