Answer:
351.68 cm^2
Step-by-step explanation:
We need to find the area of the frame itself. the radius of the inner circle is 12, but the frame has a radius of 4. You add 12 and 4 and you get 16. The formula for area of a circle is A=πr^2. So A= 3.14 x16^2. Then you have A= 3.14x 256 and you get 803.84. But we only want the area of the frame, so you have to get the area of the inner circle and subtract. You get A= 3.14 x 12^2. 3.14x144 is 452.16. 803.84-452.16 is 351.68. Hope this helped. :)
A)
Withdraws--5.23, -5.22, and -7.89
Deposits-34.98, 51.02, and 51.22
(Rational numbers include integers, whole numbers, decimals that don't repeat or go on forever, and fractions)
B)
-7.89, -5.23, -5.22, 34.98, 51.02, 51.22
(Negatives are less than 0, so when the negative gets bigger, it means that the number is becoming less, so the opposite of positive numbers)
C)
98+34.98+51.02+51.22= 235.22
235.22- 5.22-5.23-7.89= 216.88
216.88 is the answer
(since withdraws are subtracting from the total, you want to add up all of the positive numbers so the deposits plus the amount she had in the beginning, and then subtract the withdraws)
Hope this helps!
sin(2<em>x</em>) - sin(<em>x</em>) = 0
Expand the first term using the double angle identity:
2 sin(<em>x</em>) cos(<em>x</em>) - sin(<em>x</em>) = 0
Factor out sin(<em>x</em>) :
sin(<em>x</em>) (2 cos(<em>x</em>) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(<em>x</em>) = 0 or 2 cos(<em>x</em>) - 1 = 0
sin(<em>x</em>) = 0 or cos(<em>x</em>) = 1/2
[<em>x</em> = 2<em>nπ</em> or <em>x</em> = <em>π</em> + 2<em>nπ</em>] or [<em>x</em> = <em>π</em>/6 + 2<em>nπ</em> or <em>x</em> = 5<em>π</em>/6 + 2<em>nπ</em>]
(where <em>n</em> is any integer)
Answer:
Area = 
Step-by-step explanation:
The area of the shaded region is equal to the total area of the full square minus the area of the non shaded region.
The area of a rectangle is its base times its high
So A=b*a.
For the full square, A1=
For the non shaded square, A2 = 
So the shaded area is A1-A2 = 
Answer:
4.2 ounces
Step-by-step explanation:
21 / 5=4.2
