Hi there ! The answer is C
50% of the numbers of a die are larger than 3 (4 5 and 6) 50% of a checkerboard is black.
25% chance
Answer:
9.4 m/s
Step-by-step explanation:
We are given that
Height of pile driver above a pile =h=4.5 m
Acceleration due to gravity=![g=9.8m/s^2](https://tex.z-dn.net/?f=g%3D9.8m%2Fs%5E2)
According to law of conservation of energy
K.E=Potential energy
![\frac{1}{2}mv^2=mgh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3Dmgh)
![v^2=2gh](https://tex.z-dn.net/?f=v%5E2%3D2gh)
![v=\sqrt{2gh}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2gh%7D)
Substitute the values
m/s
![v=9.4 m/s](https://tex.z-dn.net/?f=v%3D9.4%20m%2Fs)
Hence, the velocity of pile driver as it hits the pile=9.4 m/s
Hi there!
They are both correct.
(Maria) 2 tens is 20 + 15 = 35
(Lee) 1 ten is 10 + 25 = 35
Hope this helps :)
Answer:
![\frac{2x+12}{x-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B12%7D%7Bx-2%7D)
Step-by-step explanation:
The perimeter of the rectangle is the sum of all 4 sides. There are two sides with length
each and the other two sides have length
each. Now, we sum all of them.
Perimeter = ![\frac{9x+14}{x^2-4}+\frac{9x+14}{x^2-4}+\frac{x+1}{x+2}+\frac{x+1}{x+2}\\=2(\frac{9x+14}{x^2-4})+2(\frac{x+1}{x+2})\\=\frac{18x+28}{x^2-4}+\frac{2x+2}{x+2}\\=\frac{18x+28}{(x-2)(x+2)}+\frac{2x+2}{x+2}\\=\frac{18x+28+(x-2)(2x+2)}{(x-2)(x+2)}\\=\frac{18x+28+2x^2+2x-4x-4}{(x-2)(x+2)}\\=\frac{2x^2+16x+24}{(x-2)(x+2)}\\=\frac{2(x^2+8x+12)}{(x-2)(x+2)}\\=\frac{2(x+2)(x+6)}{(x-2)(x+2)}\\=\frac{2(x+6)}{(x-2)}\\=\frac{2x+12}{x-2}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%2B14%7D%7Bx%5E2-4%7D%2B%5Cfrac%7B9x%2B14%7D%7Bx%5E2-4%7D%2B%5Cfrac%7Bx%2B1%7D%7Bx%2B2%7D%2B%5Cfrac%7Bx%2B1%7D%7Bx%2B2%7D%5C%5C%3D2%28%5Cfrac%7B9x%2B14%7D%7Bx%5E2-4%7D%29%2B2%28%5Cfrac%7Bx%2B1%7D%7Bx%2B2%7D%29%5C%5C%3D%5Cfrac%7B18x%2B28%7D%7Bx%5E2-4%7D%2B%5Cfrac%7B2x%2B2%7D%7Bx%2B2%7D%5C%5C%3D%5Cfrac%7B18x%2B28%7D%7B%28x-2%29%28x%2B2%29%7D%2B%5Cfrac%7B2x%2B2%7D%7Bx%2B2%7D%5C%5C%3D%5Cfrac%7B18x%2B28%2B%28x-2%29%282x%2B2%29%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%3D%5Cfrac%7B18x%2B28%2B2x%5E2%2B2x-4x-4%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%3D%5Cfrac%7B2x%5E2%2B16x%2B24%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%3D%5Cfrac%7B2%28x%5E2%2B8x%2B12%29%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%3D%5Cfrac%7B2%28x%2B2%29%28x%2B6%29%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%3D%5Cfrac%7B2%28x%2B6%29%7D%7B%28x-2%29%7D%5C%5C%3D%5Cfrac%7B2x%2B12%7D%7Bx-2%7D)