HELP THESE ARE REALLY TRICKY BUT FUN PROBLEMS PLUS I WILL GIVE BRAINLIEST!
1 answer:
Answer:
1. r = 7√2 dm ≈ 9.90 dm
2. ∠ENK = 50°; ∠KEG = 59°
Step-by-step explanation:
1. If ∠A is 90°, then the angle at O that is opposite is also 90°, hence the tangent lines and radii make a square. The diagonal of the square (OA) is 14 dm, so the side length, the radius, will be 14/√2 dm = 7√2 dm.
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2. The length of chord EK is the same as the length of chord VG, so arc EK is the same measure as arc GV, namely 50°. The measure of ∠ENK is the average of the measures of arcs EK and GV, so is also 50°.
∠EGK = 25°, since it is half the measure of arc EK. The sum of the angles in ΔKEG is 180°, so we have ...
∠EKG + ∠EGK + ∠KEG = 180°
∠KEG = 180° - 96° -25° = 59°
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Answer:
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
Step-by-step explanation:
We assume that x should represent the number of units of plants
Also y to represent the number of animals.
So, minimze (z) = 30 x + 15 y
Subject to:
30 x + 20 y ≥ 360
10 x + 25 y ≥ 300
y ≤ 8
0 ≤ x ≤ 25
0 ≤ y ≤ 25
Changing the above linear inequalities into linear equation; we have:
30 x + 20 y = 360
10 x + 25 y = 300
y = 8
The graph for the above discussion can be located in the attached diagrammatic expression below:
NOW, the corner points (0,18),(0,25),(25,25), and (25,8) can be calculated from the graph. From the diagram, the corner point can be found by solving the system.
30 x + 20 y = 360
10 x + 25 y = 300
Corner point (10, 8) = 10 x + 25 y = 300
y = 8
Corner point Value of z = 30 x + 15 y
(0,18) 270
(0,25) 375
(25,25) 1125
(25,8) 870
≅ 310.91
(10, 8) 420
∴
The minimum labor = 270 hours and it is obtained when 0 units of plants and 18 animals are collected.
