B= the square root of 65
Formula: a^2= c*2-b^2
a^2= 81-16= 65
Once you find the square root of 65, thats your answer, but here they want you to keep it as 65.
Hope this helps!
Answer:
B) Step 2
Step-by-step explanation:
Raul thought that 5 - 7 was 2, but it is actually -2.
If this answer is correct, please make me Brainliest!
Answer:
See explanation
Step-by-step explanation:
Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.
The store keeps an inventory of 80 shovels, then
x+y+z=80
The store always buy twice as many spade shovels as square, so
x=2z
The total cost of all shovels is
16x+9.60y+12.80z=1,072
a) The system of three equations is
![\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2By%2Bz%3D80%5C%5C%20%5C%5Cx%3D2z%5C%5C%20%5C%5C16x%2B9.60y%2B12.80z%3D1%2C072%5Cend%7Barray%7D%5Cright.)
b) In matrix form this is
![\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C%201%260%26-2%5C%5C%2016%269.60%2612.80%5Cend%7Barray%7D%5Cright%29%5Ccdot%20%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%29%3D%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D80%5C%5C0%5C%5C1%2C072%5Cend%7Barray%7D%5Cright%29)
c) The determinant is
![\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16](https://tex.z-dn.net/?f=%5Cleft%5C%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C%201%260%26-2%5C%5C%2016%269.60%2612.80%5Cend%7Barray%7D%5Cright%5C%7C%3D0-32%2B9.60-0%2B19.20-12.80%3D-16)
d) Find three determinants:
![\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608](https://tex.z-dn.net/?f=%5Cleft%5C%7C%5Cbegin%7Barray%7D%7Bccc%7D80%261%261%5C%5C%200%260%26-2%5C%5C%201%2C072%269.60%2612.80%5Cend%7Barray%7D%5Cright%5C%7C%3D0-2%2C144%2B0-0%2B1%2C536-0%3D-608)
![\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368](https://tex.z-dn.net/?f=%5Cleft%5C%7C%5Cbegin%7Barray%7D%7Bccc%7D1%2680%261%5C%5C%201%260%26-2%5C%5C%2016%261%2C072%2612.80%5Cend%7Barray%7D%5Cright%5C%7C%3D0-2%2C560%2B1%2C072-0%2B2%2C144-1%2C024%3D-368)
![\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304](https://tex.z-dn.net/?f=%5Cleft%5C%7C%5Cbegin%7Barray%7D%7Bccc%7D1%261%2680%5C%5C%201%260%260%5C%5C%2016%269.60%261%2C072%5Cend%7Barray%7D%5Cright%5C%7C%3D0%2B0%2B768-0-0-1%2C072%3D-304)
So,
![x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-608%7D%7B-16%7D%3D38%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B-368%7D%7B-16%7D%3D23%5C%5C%20%5C%5Cz%3D%5Cdfrac%7B-304%7D%7B-16%7D%3D19)
e) If the store doubled all prices and inventory, then the new matrix is
![\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D1%261%261%5C%5C%201%260%26-2%5C%5C%2032%2619.20%2625.60%5Cend%7Barray%7D%5Cright%29%5Ccdot%20%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%29%3D%5Cleft%28%5Cbegin%7Barray%7D%7Bc%7D160%5C%5C0%5C%5C2%2C144%5Cend%7Barray%7D%5Cright%29)
If you have 10 boxes and you shade 3 of these boxes, then the fraction of shaded boxes is 3/10. The fraction of unshaded boxes would just be the remainder of boxes, or 7/10.