Answer:
<em>72,000cm³</em>
Step-by-step explanation:
Volume of the rectangular tank = Length * Width * Height
Given
Length = 50cm
Width = 30cm
Height = 60cm
Get the volume:
Volume = 50*30*60
Volume = 90,000cm³
Hence the volume of the rectangular tank is 90,000cm³.
If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:
Amount transferred = 1/5 * 90,000
Amount transferred = 18000cm³
Amount left in the tank = 90,000 - 18,000
<em>Amount of water left in the tank = 72,000cm³</em>
part A)
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part B)
f(x) = 10 + 20x
so if you rent the bike for a few hours that is
1 hr.............................10 + 20(1)
2 hrs..........................10 + 20(2)
3 hrs..........................10 + 20(3)
so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.
f(100) = 10 + 20(100) => f(100) = 2010.
f(100), the cost of renting the bike for 100 hours.
Let
x---------> the length of the rectangle
y--------> the width of the rectangle
we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=12
x=y-5-----> x=12-5-----> x=7
the answer isthe length of the rectangle is 7 ftthe width of the rectangle is 12 ft