Answer:
80
Step-by-step explanation:
first add the parenthesis (9+7) = 16
then multiply 16 * 5 = 80
Answer:
23.3 cm
Step-by-step explanation:
use Pythagoras Theorem
length BD= 16²+10²= 356
√356= 18.9 cm
length DH= 30²-18.9²= 542.8
√542.8= 23.3 cm
DH=AE
Hence, AE= 23.3 cm
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Answer:
330cm^3
Step-by-step explanation:
22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.
I could be wrong but I think 28.
Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
