Answer:
Based on the model, the length of the wall is
ft, the width of the wall is
ft, and the height of the wall is
ft. The volume of the portion of security wall that Tim has constructed so far is
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length
.
Width of the prism =
.
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒ 
⇒ 
⇒
(Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒ 
⇒ 
⇒
(Answer)
Volume of the prism can be given as :
⇒ 
⇒
⇒
(Answer)
Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.
This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:
<span>2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2
Therefore, it is not true.</span>
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:

Each probability is calculated by dividing number of fakes by total number of gems:

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection




<em>Hence, the required probability is approximately 0.504</em>