Answer:
A. 1/2 (20 x 50) + 1/2 (20 x 10), 2 (1/2 x 20 x 50) + 2(1/2 x 20 x 10)
B. 100
Step-by-step explanation:
The required matrix is:
![\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%2617%260%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We need to apply elementary row operation -2R₂+3R₁ tothe matrix:
![A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%262%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Multiplying Row 2 with -2 and Row1 with 3 and adding,
-9 15 6
-16 2 -6
----------
-25 17 0
After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁
The required matrix is:
Keywords: Matrices, elementary row operation
Learn more about matrices at:
#learnwithBrainly
Since it is a 45-45-90 right triangle, the formula is:
Hypotenuse= sqrt2 * leg
Since you know hypotenuse = 9sqrt2 the leg has to be 9
Answer:
There are 28 more dogs than cats at the animal shelter.
Step-by-step explanation:
If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.
The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.
After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.
So there are 42 dogs and 14 cats at the animal shelter.
However, it is asking for how many more dogs than cats there are, so you have to subtract 42 - 14 and the answer is 28 more dogs than cats.
