It's a linear program; the extrema will be at the corners.
Let's enumerate them. 4 choose 2 gives 6 possible meets of 4 lines. One pair are parallel, down to five to try.
4x-y=1 intersects x=0 at y=-1, outside the domain y≥0.
4x-y=1 intersects y=0 at x=1/4, (1/4, 0)
4x-y=1 intersects x=5 at y=19, (5,19)
(0,0) is outside the domain 4(0)-0=0 which isn't ≥1.
(5,0) is a valid corner.
It's a triangular domain. Three points to try,
C(1/4,0) = 6(1/4) + 2(0) = 3/2
C(5,19) = 6(5) + 2(19) = 68
C(5,0) = 6(5) + 2(0) = 30
Answer: Maximum C=68 at (x,y)=(5,19)
To find out area of circle bit u do (pi x r^2) /4
(3 x 6^2)/4
(3x 36) / 4
108/4 = 27
So area of circle bit is 27
For square you do:
6x6 = 36
ANSWER:
36+27 = 63
The answer is 63m^3
<u>Answer:</u>
245 days per year ; 1715 hours per year
<u>Step-by-step explanation:</u>
Every emplyoee works 5 days per week , 49 weeks per year. So,
Every employee works,
days = 245 days per year .
Every employee works 7 hours per day,
so, every employee works
hours
= 1715 hours per year .
The first step is:
- determine how far from the house is young equestrian at noon.
2 x 10 = 20 miles
15 t = 20 + 10 t
15 t - 10 t = 20
5 t = 20
t = 20 : 5
t = 4 hours
Answer: at 4:00 PM.
Answer:
option 2 I think sorry if its incorrect