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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:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
Put in eq(2)
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375