Answer:
Step-by-step explanation:
to find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Answer:
the that minimizes the function is (80, 50) for which C = 9050
Step-by-step explanation:
(0, 160). (55, 70). (80, 50). (170, 0)..... available pairs missing out in the question
Step 1: to get the pair that minimizes the objective function C = 60x + 85y, we plug in each pair and work out the minimum value of C.
(0, 160): C = (60*0) + (85*160) = 13600
(55, 70): C = (60*55 + (85*70) = 9250
(80, 50): C = (60*80) + (85*50) = 9050
(170, 0): C = (60*170) + (85*0) = 10200
Hence the minimum value of C occur at (80, 50)
The volume of the solid is 758.83 in³
i think
Answer:
The correct option is 3. Capacity of smallest tank is 15-gallons.
Step-by-step explanation:
The graph shows the relationship between capacity of tank and combined length of fish it can hold.
The line passing through (0,1) and (1,2).
Slope of the line is
Slope intercept form of a line is
Where, m is slope and b is y-intercept.
The slope of the line is 1 and the y-intercept is 1, therefore the equation of line is
..... (1)
If we want four 2-inch platys, three 1-inch guppies and a 3-inch loach, then the combined length of fish is
Therefore the combined length of fish is 14.
Put x=14 in equation 1.
Therefore, the capacity of smallest tank is 15-gallons and option 3 is correct.
Answer:
63
Step-by-step explanation:
hope it help