Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
Multiply 40x7 then subtract that total you got from multiplying 40x7 with 420
40x7=160
420-160=260
260 pieces of wood were left.
Answer:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We are required to find a unit vector in the direction of:
![\left[\begin{array}{c}-8\\7\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-8%5C%5C7%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
Unit Vector, 
The Modulus of
=
Therefore, the unit vector of the matrix is given as:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Answer:
1/8
Step-by-step explanation:
coin toss is 1/2, probability of getting an ace of hearts is 1/4
therefore 1/2 x 1/4 = 1/8
what is the best and easiest method to use to find sides A and B?
B