Answer: The required length of each piece of wood is or 9 inches.
Step-by-step explanation: Given that a piece of lumber is feet long is to be cut into 3 equal pieces.
We are to find the length of each piece of wood in feet and in inches.
We will be using the UNITARY method to solve the given problem.
The length of 3 pieces of wood is equal to
Therefore, the length of each piece of wood will be
Thus, the required length of each piece of wood is or 9 inches.
Answer:
s = 6 feet
Step-by-step explanation:
Given that,
The volume of the cube, V = 216 feet³
We need to find the side length for the cubical box. We know that the volume of the cube is given by :
, s is the side length of the box.
So,

So, the side length for the cubical box is equal to 6 feet.
A / B
= 80 / 8
= 10
Therefore the answer is 10
X^2 - 8x = (x - 4)^2 - 16
we add 16 to give x^2 - 8x + 16 which is a perfect square
x^2 - 8x + 16 = (x - 4)^2
answer is 16
<u>Given</u>:
Given that the data are represented by the box plot.
We need to determine the range and interquartile range.
<u>Range:</u>
The range of the data is the difference between the highest and the lowest value in the given set of data.
From the box plot, the highest value is 30 and the lowest value is 15.
Thus, the range of the data is given by
Range = Highest value - Lowest value
Range = 30 - 15 = 15
Thus, the range of the data is 15.
<u>Interquartile range:</u>
The interquartile range is the difference between the ends of the box in the box plot.
Thus, the interquartile range is given by
Interquartile range = 27 - 18 = 9
Thus, the interquartile range is 9.