In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. Th
2 answers:
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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
Answer:
(a) 896
(b) 1000
(c) 910
Step-by-step explanation:
Number of women = 8
Number of men = 6
A committee consisting of 3 men and 3 women is to be formed.
(a) 2 of the men refuse to serve together.
Number of men who don't want to serve together = 2
Remaining men = 4
Total ways = Both men who don't want to serve together are not selected + only one of them is selected.
(b) 2 of the women refuse to serve together.
Number of women who don't want to serve together = 2
Remaining men = 6
Total ways = Both women who don't want to serve together are not selected + only one of them is selected.
(c)1 man and 1 woman refuse to serve together.
Ways = Total ways - Both man and woman are select who refuse the serve together