If a = 9-4√5 find the value of a - 1/a
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Answer:
Step-by-step explanation:
Hello There!
For this problem we want to split the irregular 3d figure into two regular 3d figures
Two rectangular prisms with the following dimensions
rectangular prism 1
length - 5 feet
width - 12 feet
height - 5 feet
rectangular prism 2
length - 5 feet
width - 5 feet
height - 10 feet (was found by subtract height of rectangular prism 1 (5 feet) from the total height of the irregular figure (15-5=10 so the height of rectangular prism 2 is 10 feet)
Now to find the volume of each individual prism...
So remember the formula for volume of a rectangular prism is
volume = length x width x height
so having the dimensions of each rectangular prism we plug in each value to the formula ( remember we're doing this for each individual rectangular prism)
For rectangular prism 1
V = 12 x 5 x 5
12x5x5=300 so the volume of rectangular prism is 300 cubic feet
For rectangular prism 2
V = 10 x 5 x 5
10x5x5=250 so the volume of rectangular prism is 250 cubic feet
our final step is to add the two volumes together
250 + 300 = 550
so we can conclude that the volume of the rooftop is 550