A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of
1 answer:
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Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
Parallel lines have the same slope.
We have the equation in the slope-intercept form (y = mx + b)
Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):
*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: square units
(22)
Similar to (21)
Area = square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = square units