Answer:
The volume of water in the fish tank is 4.5 cubic feet
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
Explain how you found the volume of water in the fish tank if it was only 1/2 full with water. Show your work and solution. Don't forget your UNITS!
You have a fish tank with the following dimensions:
Height: 3 feet
Width: 1.5 feet
Length: 2 feet
step 1
Find the volume of the fish tank
The volume of a rectangular prism ( fish tank) is equal to
substitute the given values
step 2
Find the volume of water in the fish tank
Remember that
The fish tank it was only one and a half full with water
so
Multiply the volume of the fish tank by one and a half to obtain the volume of water
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)
4x+3y=12
3y=-4x+12
y=-4x/3+12/3
So a line perpendicular to the bank will be:
y=3x/4+b, and we need it to pass through (7,5) so
5=3(7)/4+b
5=21/4+b
20/4-21/4=b
-1/4=b so the perpendicular line is:
y=3x/4-1/4
So now we want to know the point where this perpendicular line meets with the river bank. When it does y=y so we can say:
(3x-1)/4=(-4x+12)/3 cross multiply
3(3x-1)=4(-4x+12)
9x-3=-16x+48
25x=51
x=51/25
x=2.04
y=(3x-1)/4
y=(3*2.04-1)/4
y=1.28
So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(7-2.04)^2+(5-1.28)^2
d^2=38.44
d=√38.44
d=6.2 units
Since he can run at 10 uph...
t=d/v
t=6.2/10
t=0.62 hours (37 min 12 sec)
So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.
Answer:
i think is is c but I not sure.
Step-by-step explanation:
You do
10x30 + 10x2 + 5x30 +5x2
