Answer:
area = 202.5 yd²
Step-by-step explanation:
area = (15 x 12 ) + (3)(15)(0.5)
area = 180 + 22.5 = 202.5 yd²
Step-by-step explanation:
![M=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right] \left[\begin{array}{ccc}1&0\\d&0\end{array}\right] \left[\begin{array}{ccc}1&-1/f_1\\0&1\end{array}\right]\\=\left[\begin{array}{ccc}1&-1/f_2\\0&1\end{array}\right]\left[\begin{array}{ccc}1&-1/f_1\\d&-d/f_1\end{array}\right]\\=\left[\begin{array}{ccc}1-d/f_2&-1/f_1+d/f_1f_2\\d&-d/f_1\end{array}\right]\\\\|M|=[-d/f_1+d^2/f_1f_2]-[-d/f_1+d^2/f_1f_2]=0\\\\-1/f=M_{12}=-1/f_1+d/f_1f_2\\1/f=M_{12}=+1/f_1-d/f_1f_2\\](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5Cd%260%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_2%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%2Ff_1%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1-d%2Ff_2%26-1%2Ff_1%2Bd%2Ff_1f_2%5C%5Cd%26-d%2Ff_1%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%7CM%7C%3D%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D-%5B-d%2Ff_1%2Bd%5E2%2Ff_1f_2%5D%3D0%5C%5C%5C%5C-1%2Ff%3DM_%7B12%7D%3D-1%2Ff_1%2Bd%2Ff_1f_2%5C%5C1%2Ff%3DM_%7B12%7D%3D%2B1%2Ff_1-d%2Ff_1f_2%5C%5C)
Answer: slide the triangle to the right 3 times and down 1
Step-by-step explanation:
Her position is at (6,9/2)
Answer:
5/6
Step-by-step explanation:
The "first" dice can land on any number, so there are 6 choices. The "second" can not be the same number as the first one. So there are 5 choices. We multiply to get 6*5=30 ways to roll a different number. There are 6*6 total ways so the probability is 30/36 which simplifies to 5/6.
