Answer:
36 units.
Step-by-step explanation:
we will use concept of basic proportionality theorem,
it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
In a triangle ABC
If DE is parallel to BC
D is a point on line AB and E is point on AC, then
by basic proportionality theorem)
AD/DB = AE/EC
_____________________________________
in the problem given one side has a parallel line drawn to it
Hence we can use basic proportionality theorem in it
20/30 = 24/?
2/3 = 24/?
=> ? = 24*3/2 = 36
Hence, missing segment value is 36 units.
Answer:
Hello!The answer would be D-(x-8) and (x-3)
Step-by-step explanation:
Your welcome :)
Answer: y = -3/4x - 15/16
Step-by-step explanation: Write in slope-intercept form, y=mx+b.
Hope this helps you out! ☺
Answer:
a) Minimize
subject to
b) Attached
c) The optimum value that minimizes cost is x1=28 and x2=8.
Step-by-step explanation:
The objective function is the cost of extraction and needs to be minimized.
The cost of extraction is the sum of the cost of extraction of ore type 1 and the cost of extraction of ore type 2:
Being x1 the tons of ore type 1 extracted and x2 the tons of ore type 2.
The constraints are the amount of minerals that need to be in the final mix
Copper:
Zinc
Magnesium
Of course, x1 and x2 has to be positive numbers.
The feasible region can be seen in the attached graph.
The orange line is the magnesium constraint. The red line is the copper constraint. The green line is the zinc constraint.
The optimal solution is found in one of the intersection points between two constraints that belong to the limits of the feasible region.
In this case, the cost can be calculated for the 3 points that satisfies the conditions.
The optimum value that minimizes cost is x1=28 and x2=8.
Answer:
B
Step-by-step explanation: