Answer:
55 ft... The ladder must extend 55ft
Step-by-step explanation:
Answer:
2/1 or 2
Step-by-step explanation:
8/4 is 2
9/9 is 1
Answer:
b. Is because -3 because the the negative gets turned into a positive.
5. They are almost the same because subtraction change the negative to a positive and the -5+2 is the aftermath of what happend.
6. Its because the subtract a negative it cancels out and makes the number a positive.
In this question, we are given a matrix, and we have to perform the given operation.
The matrix is:
![\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-1%26%7C5%5C%5C1%26-5%26%7C0%5Cend%7Barray%7D%5Cright%5D)
The following operation is given:
In which 
is the element at the first line and 
is the element at the second line.
Updating the first line:
Thus, the filled matrix will be given by:
![\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%2629%26%7C5%5C%5C1%26-5%26%7C0%5Cend%7Barray%7D%5Cright%5D)
For another example where row operations are applied on a matrix, you can check brainly.com/question/18546657
Answer:
The new radius r' should be 1.1 times the original planned radius ( rp ).
Step-by-step explanation:
Solution:-
- We will assume the geometry of the pond is modeled as a cylinder with base modeled as a circle with radius ( r ) and the planned height of the ( hp = 6 feet ).
- The volume V of a cylindrical pond is given by:
V = π*r^2*h
- Talisa had planned a depth hp = 6 feet, The planned volume with planned radius ( rp ) was:
Vp = π*rp^2*6
- However, she hit a rock at h' = 5 feet, So what change must he make to the radius of the pond such that she achieves the planned volume of the pond.
V = π*r'^2*h'
Where, r' is the new radius of the pond:
Vp = V
π*rp^2*6 = π*r'^2*5
( r' / rp )^2 = 6 / 5
r' / rp = √6 / 5
r' / rp = 1.09544
r' = 1.1*rp
- The new radius r' should be 1.1 times the original planned radius ( rp ).
