The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
<h3>How to determine the volume </h3>
Using the formula:
Volume = 3abh
Where a = apothem length
b = length of the side of the base
h =height of the prism
Substitute values from the diagram into the formula
Volume = 3 × 5 × 4.3 × 2
Volume = 129 in^3
Volume of the remaining cake
Volume = 3abh
Volume = 3× 5.2 × 4 × 6
Volume = 374. 4 in^3
Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3
Learn about volume of a hexagonal prism here:
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Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -2, y intercept: 0
C because there are 60 seconds in a minute so if you multiply 600 x 60 you get 36000
Answer:using elimination to solve for x
9x +6y = 3*134 | Multiplying 1st equation by 3
-4x -6y = -2*146 | Multiplying 2nd equation by -2
5x = 3*134 - 2*146
5x = $110
x = $22, the cost of the youth ticket
Step-by-step explanation:This question Sets Up two equations with 2 unknowns
Let x and y represent the cost of the youth and adult ticket respectively
Question states***
3x + 2y = $134
2x + 3y = $146
x+y = 47
x-y = 21
------------ add together
2x =68 divide by 2
x=34
x+y = 47
34+ y = 47
subtract 34 from each side
y = 13
the two numbers are 34 and 13
