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<h2>Answer:</h2>
The area of the top surface of the washer is: 160.14 square mm.
<h2>Step-by-step explanation:</h2>The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)
Now, we know that the area of the annulus region is given by:
where R is the outer radius and r is the inner radius.
Here we have:
Hence, we have:
Answer:
y = 12x + 9 is the answer.
Step-by-step explanation:
Since the given equation is 2x + 12 y = -1
12y = -2x -1
Now this line is in the form of y = mx + c
Here m = slope = -1/12
We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).
Let the equation is y = m' + c'
We know m×m' = -1 for two perpendicular lines
m' = 12
Therefore the equation will be
y = 12x + c'
Since this line passes through ( 0, 9)
9 = 12×0 + c'
c' = 9
Now the equation will be
y = 12x + 9
This is the answer.