The two inequalities are :
option B and option C
Explanation:
Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.
that is why it is
And more than 7 of his animals are sheep means sheep are greater than 7. that is why =
Answer:
1.1) B=12.42°, C=146.58°, c=15.37
1.2) B=8°, C=124°, c=35.7
2) In the case of SSA, when the given angle A is acute (<90°), the side "a" (opposite to the given angle "A") is less than the other given side "b" (a<b), and a > b sinA.
3.1) Perimeter = 31.37 units, Area = 16.5 square units
3.2) Perimeter = 73.70 units, Area = 75.6 square units
4.1) Magnitude of vector AB=5.1
4.2) Direction of vector AB=348.69°
5.1) The dot product of two vectors is equal to the sum of the product of their components
5.2) a . b = 10
6.1) Trigonometric form: z = 3√2 (cos 315°+ i sin 315°)
6.2) The 4th roots are:
w1 = 18^(1/8) [cos(78.75°) + i sin(78.75°)]
w2 = 18^(1/8) [cos(168.75°) + i sin(168.75°)]
w3 = 18^(1/8) [cos(258.75°) + i sin(258.75°)]
w4 = 18^(1/8) [cos(348.75°) + i sin(348.75°)]
Step-by-step explanation:
3.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37
Area: A = a b sinC / 2
Replacing the known values:
A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →
A = 16.52174152 → A = 16.52 square units
3.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70
Area: A = a b sin C /2
Replacing the known values:
A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →
A = 75.59663485 → A = 75.6 square units
