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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From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
5/4
The slope is answers the x
The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:
The area of the pentagon is then calculated using:
So, we have:
Simplify the expressions in both brackets
Remove absolute bracket
Hence, the area of the pentagon is 19 square units
Read more about areas at:
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Answer:
To kilos? About 132.2. To dollars? Google the exchange.
