Given that
z₁ = 15 (cos(90°) + i sin(90°))
z₂ = 3 (cos(10°) + i sin(80°))
we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:
z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))
z₁/z₂ = 5 (cos(80°) + i sin(80°))
so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.
Answer:
Part 1) The measure of angle A is 
Part 2) The length side of a is equal to 
Part 3) The length side of b is equal to 
Step-by-step explanation:
step 1
Find the measure of angle A
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
substitute the given values
step 2
Find the length of side a
Applying the law of sines
substitute the given values
step 3
Find the length of side b
Applying the law of sines
substitute the given values
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Answer: 116.12
Explanation:
13 x 7 = 91
13 - 5 = 8
8 / 2 = 4
3.14(4)^2 = 50.24
50.24 / 2 = 25.12
91 + 25.12 = 116.12
I hope this helped!
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Answer:36 maybe
Step-by-step explanation:
4×3=12
12÷2=6
6×5=30
30+6=36
Firstly, brainly allows 1 question per question. So do not try this again.
Lets make the fractions all like terms.
242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.
1. 51 1/4.
2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.
3. 36/5=72/10. 72/10 - 37/10 = 35/10. As a mixed it is 3 1/2
4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.
70/6 - 51/6 = 19/6. 3 1/6.
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