First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so

. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:


Similarly, the area of a triangle is one half times base times height, so

. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:


Now the only thing left is add our areas:

We can conclude that the correct answer is <span>
A. 102</span>
Answer:
See attachment for graph
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Step-by-step explanation:
Given

Required
Graph the relationship between both parameters
First, calculate the area;


This implies that: (2, 120) i.e. 2 cans for 120ft^2.
So we have:
(0,0) and (2,120)
(0,0) implies that: 0 cans for 0 square feet
Calculate the slope:




The equation is:

So, we have:



<em>See attachment for graph</em>
The product of x and 5 can be displayed as 5x
Less than -27 can be displayed as < -27
When we combine those two statements, the following inequality is made.
5x < -27
Answer:
23.44%
Step-by-step explanation:
The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5
= 0.01116
There are 7C2 ways of the 2 4's being in different positions
= 7*6 / 2 = 21 ways.
So the required probability = 0.01116 * 21
= 0.2344 or 23.44%.