Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × ![\frac{\frac{4\pi }{9} }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4%5Cpi%20%7D%7B9%7D%20%7D%7B2%5Cpi%20%7D)
= π × 6² × ![\frac{\frac{4\pi }{9} }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4%5Cpi%20%7D%7B9%7D%20%7D%7B2%5Cpi%20%7D)
= 36π × ![\frac{\frac{4\pi }{9} }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4%5Cpi%20%7D%7B9%7D%20%7D%7B2%5Cpi%20%7D)
= 18 × ![\frac{4\pi }{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20%7D%7B9%7D)
= 2 × 4π
= 8π
≈ 25.1 cm² ( to the nearest tenth )
Answer:
Since
, you have the following arrangements.
Optional:
(and it's mirror version
, if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.
and it's mirror
;
and it's mirror
;
Optional:
. Since a square is a rectangle with extra limitations.
Answer:
24 hours
Step-by-step explanation:
To answer this question, you just have to divide the total amount Mary is trying to earn, $132, by the unit rate, $5.50 per hour:
132 / 5.50 = 24
So, Mari needs to work 24 hours to earn $132
Hope this helps :)
The augmented matrix is,
![\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccccc%7D1%26-1%26-4%26%7C%265%5C%5C2%260%262%26%7C%260%5C%5C4%261%261%26%7C%263%5Cend%7Barray%7D%5Cright%29)
We have given system of linear equation is,
![x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.](https://tex.z-dn.net/?f=x%20-%20y%20-%204z%20%3D%205%2C2x%20%2B%202z%20%3D%200%20%2C4x%20%2By%20%2Bz%20%3D%203.)
<h3>What is the meaning of augmented matrix?</h3>
In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.
So, the first row is
![1\ -1\ -4\ 5](https://tex.z-dn.net/?f=1%5C%20-1%5C%20-4%5C%205)
the second row is
![2\ 0\ 2\ 0](https://tex.z-dn.net/?f=2%5C%200%5C%202%5C%200)
and the third row is
![4\ 1\ 1\ 3](https://tex.z-dn.net/?f=4%5C%201%5C%201%5C%203)
Therefore the augmented matrix for this linear system is,
![\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccccc%7D1%26-1%26-4%26%7C%265%5C%5C2%260%262%26%7C%260%5C%5C4%261%261%26%7C%263%5Cend%7Barray%7D%5Cright%29)
To learn more about the augmented matrix visit:
brainly.com/question/14600951
Answer:
25
Step-by-step explanation:
(0,0) to (12,0) => the distance = 12
(12,0) to(7,12) => the distance =
√[(12-0)²+(7-12)²]=√(144+5) =√169 = 13
so, the total distance = 12+13 = 25