A manager needs to rope off a rectangular section for a private party. The length of the section must be 7.6 meters. The manager
1 answer:
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Answer:
4x - 3y -18 = 0 or y = 4x/3 - 6
Step-by-step explanation:
We will have to find the slope of the line first
The formula for slope:
The standard form of equation of a line is:
y = mx + b
We know m,
So the equation will be:
We have to find the value of b, for that we will put any one of the point in the equation
So, putting (6,2)
2 = 4/3 * 6 + b
2 = 8 +b
b = -6
Putting the value of m and b in the standard form of equation of line,
..
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle = = 51.43°
Now,
Central angle / 2 = = 25.71°
And
height = = 1.038
Now,
Inner area of gazebo = 7··1·(1.038) = 3.634 unit²
Outer area of gazebo = ()²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
