AX = b or ![\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C0.1%260.05%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C1.10%5Cend%7Barray%7D%5Cright%5D)
<h3>
The above matrix can be used to determine the number of dimes x and nickels y.</h3>
Step-by-step explanation:
Here, total number of coins = 15
Let us assume the number of dimes = x
Also, let us assume the number of nickels = y
So, x + y = 15 .... (1)
Again, 1 dime = $0.1
So, x dimes = x ($0.1) = $ (0.1 x)
1 nickel = $0.05
So, y nickels = y ($0.05) = $ (0.05 y)
Also, total value of coins = $1.10
⇒ 0.1 x + 0.05 y = 1.10 .... (2)
So, from (1) and (2) the matrix can be written as:
AX = b or ![\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%261%5C%5C0.1%260.05%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C1.10%5Cend%7Barray%7D%5Cright%5D)
The above matrix can be used to determine the number of dimes x and nickels y.
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
Answer:
the answer would be 19 because these are congruent shapes
Hope this helps:)
Step-by-step explanation:
Answer:
c)1/3
Step-by-step explanation:
ya que un dado tiene 6 lados, y usted puede tirar dos números de la muerte de seis caras la respuesta es 1/3\
2/6=1/3