Answer:
simbizi
Step-by-step explanation:
Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
2/27 total play both.
2/27 = .074 move the decimal over 2 places = 7% chance
Answer:
![h=\frac{SA-2\pi r^2}{2\pi r}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BSA-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%7D)
Step-by-step explanation:
The formula for the surface area of a cylinder is:
![SA=2\pi r^2+2\pi rh](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%5E2%2B2%5Cpi%20rh)
And we want to solve for the height h.
First, subtract
from both sides. This yields:
![2\pi rh=SA-2\pi r^2](https://tex.z-dn.net/?f=2%5Cpi%20rh%3DSA-2%5Cpi%20r%5E2)
Now, divide both sides by
. This yields:
![h=\frac{SA-2\pi r^2}{2\pi r}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7BSA-2%5Cpi%20r%5E2%7D%7B2%5Cpi%20r%7D)
And we're done!