Answer:
(a, b) = (0, -15)
Step-by-step explanation:
In "cis" form the product of two complex numbers is the product of their magnitudes at the angle that is the sum of their angles. I find this the easiest way to multiply complex numbers.
z1 × z2 = (3 cis π)(5 cis π/2)
= (3·5) cis (π +π/2)
= 15 cis 3π/2
Of course, "cis" is short for "cosine + i·sine", so you have ...
z1 × z2 = 15 cis 3π/2 = 15(cos(3π/2) +i·sin(3π/2))
= 15(0 +i·(-1))
= 0 -15i
(a, b) = (0, -15)
There are 9 whole numbers in between 20 and 30
Two rays sharing a common endpoint is the vertex.
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Answer: 21p^2 + 3qp
Explanation:
To find the area of the triangle you have to do LxHx1/2
Length = 7p+q
Height = 6p
(7p+q)*6p*1/2 = 21p^2+3qp
I hope this helped!
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- Zack Slocum
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Total tickets sold = 159
Total sales = $1100.60
Child admission = $5.20
Adult admission = $8.90
Assumed all 159 tickets are Child admission tickets
Total sales = 159 x 5.2 = $826.80
Difference in amount = $1100.60 - $826.80 = $273.80
The difference must be contributed by the Adult Admission Tickets, which has a difference of $8.90 - $5.20 = $3.70
$273.80 ÷ $3.70 = 74 adult tickets
159 - 74 = 85 child tickets