Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+
i )
= 64 (
(1 + i) )
= 32
(1 + i)
= 32
+ 32
i
Answer:
Length = 4 inches
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
If x = 2
Perimeter = 8x - 4
= 8(2) - 4
= 16 - 4
= 12 inches
Width = 3x - 4
= 3(2) - 4
= 6 - 4
= 2 inches
Perimeter of a rectangle = 2(length + width)
12 = 2(length + 2)
12 = 2length + 4
12 - 4 = 2 length
8 = 2 length
Length = 8/2
Length = 4 inches
Answer:
9, 10, 11, 12, 13
Step-by-step explanation:
(x-2)+(x-1)+x+(x+1)+(x+2) = 55
5x = 55
x = 11
Answer: the shaded squares are equal to 0.3
The correct answer is 2.8