the eatery restaurant has 200 tables on a recent evening there were reservations for one tenth of tables how many tables were re
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The surface area of the pyramid is 18,541 mm² . Option C
<h3>How to determine the surface area</h3>The formula for surface area of a regular hexagonal prism is expressed as;
Where;
- a is the edge length = 44 millimeters
- h is the height = 95 millimeters
A = 2. 598 ( 44)² + 3(44)
Simplify
A = 5029. 728 + 132
Find the square root
A = 5029. 728 + 132(102. 357)
expand the bracket
A = 5029. 728 + 13511. 124
A = 18, 540. 85
A = 18,541 mm² in thee nearest square millimeter
Thus, the surface area of the pyramid is 18,541 mm² . Option C
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Answer:
Step-by-step explanation:
step 1
Find the slope of segment HI
The formula to calculate the slope between two points is equal to
we have
H (-4,2), and I (2,4)
substitute the given points
simplify
step 2
Find the slope of the perpendicular line to segment HI
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
so
step 3
Find the midpoint segment HI
we know that
The formula to calculate the midpoint between two points is equal to
we have
H (-4,2), and I (2,4)
substitute
step 4
we know that
The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI
Find the equation of the perpendicular bisector of HI in point slope form
we have
substitute
step 5
Convert to slope intercept form
Isolate the variable y
step 6
Convert to standard form
where
A is a positive integer
B and C are integers
Adds 3x both sides
see the attached figure to better understand the problem
