Answer:
The product of
36√cis(π/8) and 25√cis(7π/6)
is
(225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Step-by-step explanation:
First note that
cis(π/8) = cos(π/8) + isin(π/8)
cis(7π/6) = cos(7π/6) + isin(7π/6)
cos(π/8) = (1/2)√(2 + √2)
sin(π/8) = (1/2)√(2 - √2)
36√cis(π/8) = (36/√2)√[√(2 + √2) + i√(2 - √2)]
cos(7π/6) = -(1/2)√3
sin(7π/6) = (1/2)√3
25√cis(7π/6) = (25/2)√3(-1 + i)
The product,
36√cis(π/8) × 25√cis(7π/6)
= (36/√2)√[√(2 + √2) + i√(2 - √2)] × (25/2)√3(-1 + i)
= (225√2)√[√(2 + √2) + i√(2 - √2)][√(3(-1 + i))]
Answer:
x = 22
Step-by-step explanation:
Sides AC and AB are equal, because this is an isosceles triangle.
Therefore, 2x - 24 = x - 2.
Subtracting x from both sides yields x - 24 = -2, and then adding 24 to both sides yields x = 22.
He can get 2 toppings on his pizza because 20-14=6 and 2*3=6
Answer:
$700
Step-by-step explanation:
25% = 1/4
the sales would be 100% or 4/4
So if commission rate is 1/4, to find the sales we multiply this by 4:
$175*4= $700
The sales would amount to $700
Hope this helps :)
Yes, I'm pretty sure it is B too