The modulus of (3 - 4i)^4 is .

5
20
81
625

625

Step-by-step explanation:

The modulus of 3 - 4i is

= = = 5, thus

| |

=

= 625

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

19.side- angle- side

20. angle- side- angle

step-by-step explanation: