Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
Answer: 
Step-by-step explanation:
Given
The cylinder is 20 cm high
The radius of the cylinder is 
The total area of the figure is the sum of the rectangle and two circles
![\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BPerimeter%20P%3D%7D2%5Bh%2B2r%5D%5C%5C%5CRightarrow%20P%3D2%5B20%2B6%5D%5C%5C%5CRightarrow%20P%3D52%5C%20cm)
The total area of the figure is
Answer: Ray B
Step-by-step explanation:
Step-by-step explanation: To solve for x in this literal equation, I would first distribute the C through the parentheses to get y = cx + cb.
Now subtract cb from both sides to get y - cb = cx.
Finally, divide both sides by c to get y - cb / c = x.
Answer:
- x ≥ 0: x|x| = x²
- x < 0: x|x| = -x²
Step-by-step explanation:
<u>For x ≥ 0</u>
|x| = x
so
x|x| = x(x) = x²
<u>For x < 0</u>
|x| = -x
so
x|x| = x(-x) = -x²
