Answer:
-8i
Step-by-step explanation:
To multiply numbers is polar form
z1 = r1 ( cos theta 1 + i sin theta 1)
z2 = r2 ( cos theta 2 + i sin theta 2)
z1*z2 = r1*r2 (cos (theta1+theta2) + i sin (theta1+theta2)
z1 = 2(cos 70° + i sin 70°)
z2 = 4(cos 200+ i sin 200)
z1z2 = 2*4 (cos (70+200) + i sin (70+200)
z1z2 = 8 (cos(270) + i sin (270))
= 8 (0 + i (-1))
=-8i
Answer:
The volume of the cube is;
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = = 8.75 cube unit
Step-by-step explanation:
-x+5+6x-7x-14
6x-8x+5-14
-2x-9
180 minus 90 equals 90, divided by 2, the answer is 45 degrees
Answer:
Total area: 9/5 square cm, or in decimal form 1.8 square cm
Step-by-step explanation:
Notice that each sticker is 1/2 cm by 3/5 cm, therefore they area is 1/2 times 3/5 = 3/10 square cm.
since she uses 6 of them, we need to multiply the area of each by 6 in order to get the total area:
6 times 3/10 = 18/10 square cm = 9/5 square cm or in decimal form 1.8 square cm
