Answer:
Red paint will cover 262 square feet
of the ramp.
Step-by-step explanation:
The lateral surface area represents the surface area of the sides of the ramp without including the top and bottom surfaces
This ramp has three surfaces
The two sides are triangular with dimensions of length 20 and height 8.5
The back consists of a rectangular shape with length 12 and height 8.5
Step 1: Calculating the Area of Triangle
The area of the triangular side = 
The area of the triangle = 
The area of the triangle = 
Thus, the area of the triangle = 85 square feet
Area of both triangles = 
= 170
Step 2: Finding the Area of Rectangle
Area of rectangle = 
therefore,
Area of the rectangular back = 
= 102 square feet
Step 3: Calculating the total lateral surface area
Overall Lateral Surface Area
= Area of triangles + Area of Rectangle
= 272 square feet
To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.
Let’s denote the repeating decimal as x.
Thus, you can write
x = 0.212121...
Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:
100x = 21.212121...
x = 0.212121...
Next, set up a subtraction by taking the second equation from the first:
100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21
Solving for x involves dividing both sides by 3:
33x = 7
Then, divide both sides by 33:
x = 7/33
Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.
Answer: the fraction is 7/33
Answer:
The answer is the scatter plot that displays a pronounced positive slope along the curve of best fit.
Step-by-step explanation:
A scatter plot illustrates the relationships between two variables for an individual. It is essentially a graph in which a best-fit curve is drawn to encapsulate the complete dataset. A scatter plot is considered to have a robust correlation if the correlation coefficient is near r = 1, indicating a very strong connection between the two variables.
A scatter plot exhibits a solid correlation when its data points are closely aligned to the line or curve of best fit.
For r = 1, the correlation is regarded as strong and positive.
Answer:
80.7 because you multiply
