Answer:
A)11
Step-by-step explanation:
These are matrices one dimensional with one column and 3 rows each.
-The product of the matrices is obtained by multiplying the correspond values and summing up;
![pq=\left[\begin{array}{ccc}3\\2\\-1\end{array}\right] \times\left[\begin{array}{ccc}5\\-1\\2\end{array}\right] \\\\\\\\=(3\times 5)+(2\times -1)+(-1\times 2)\\\\=15+-2+-2\\\\=11](https://tex.z-dn.net/?f=pq%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5C%5C-1%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C-1%5C%5C2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5C%5C%3D%283%5Ctimes%205%29%2B%282%5Ctimes%20-1%29%2B%28-1%5Ctimes%202%29%5C%5C%5C%5C%3D15%2B-2%2B-2%5C%5C%5C%5C%3D11)
Hence, the product of p and q is 11
The equation is base area x height so is 11/4 x 4 x 3 1/4 = 35.75
Hi There!
<span>( 2 x 4 ) x 7 = 2 x (7 x 4 ) represents the associative property of multiplication. The associative property states of multiplication states, that you can multiply even how the numbers are grouped.
You can test this you're self.
1. Multiply 2*4=8 8 *7=56
2. 7*4=28 28*2=56
In conclusion, </span><span>( 2 x 4 ) x 7 = 2 x (7 x 4 ), uses the associative property of multiplication.
Hope this helps :)</span>
The answers to the missing angle is 40°