For the numbers in
form, convert to polar form:

By DeMoivre's theorem,





For the numbers already in polar form, DeMoivre's theorem can be applied directly:


At second glance, I think the 2s in the last two numbers should also be getting raised to the 3rd and 4th powers:


Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)


subtracting both sides from 20:


Dividing both sides by 2:


Length is 26 feet.
And, to get the area we put the formula of finding the area:



Therefore, the area of the rectangular playroom is 260 feet² .
Answer:
Antonia saved $5.39
Step-by-step explanation:
Candle:
$9.59 - $0.50 (coupon) = $9.09
Towel:
$21.43 - $2.75 (coupon) = $18.68
Dishes:
$21.43 x 10% = 2.143
$21.43 - $2.143 = $19.287, rounded to the nearest cent and it’s $19.29.
Calculate the amount of money saved by adding 0.50 + 2.75 + 2.143, which is 5.393. Round to the nearest cent and it will be $5.39.
Answer:
10x - 3
Step-by-step explanation:
First, distribute 2 to all terms within the second parenthesis:
2(3x + 1) = (2 * 3x) + (2 * 1) = 6x + 2
4x - 5 + 6x + 2
Combine like terms (terms with the same amount of variables).
4x + 6x + 2 - 5
(4x + 6x) + (2 - 5)
10x + (-3)
10x - 3
10x - 3 is your answer.
~
Answer: x=5
Step-by-step explanation:
Substitute 17 for n(x)
17=2x+7
Subtract 7 from both sides
10=2x
Divide each side by 2 to get the x by itself
x=5