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<h3>Answer: </h3><h3>See the attached image below for the table</h3>
In column 1 we have the x values 0, 4, 8, 12
In column 2, we have the y values 1, 2, 3, 4
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Explanation:
We can start with any x value we want. I find that 0 is easiest to work with, so why not start at x = 0. For the sake of not repeating, I'll use y = 1 as the start value for y.
The first row of the table is x = 0 and y = 1.
A slope of 1/4 means rise/run = 1/4. So rise = 1 and run = 4.
A rise of 1 indicates y goes up by 1. A run of 4 means x increases by 4.
So put together, slope = 1/4 means each time x goes up by 4, y goes up by 1.
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If we started at x = 0, then going up by 4 leads to x = 4. If y starts at y = 1, then going up by 1 leads to y = 2.
The second row of the table is x = 4 and y = 2
We'll repeat the pattern of "add 4 to x, add 1 to y" getting the third row having x = 8 and y = 3
We can repeat as many times as we want. Doing another "up 1, over to the right 4" movement lands us on (x,y) = (12, 4)
The completed table is shown below in the attached image.
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If you were to use the slope formula with any two rows of the table, then you should get m = 1/4
Let's do the first two rows
m = (y2-y1)/(x2-x1)
m = (2-1)/(4-0)
m = 1/4
I'll let you check the other pairs of rows.
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
