Volume= length*width*height = Area * height
<span>square region: A= 32^2= 1024 </span>
<span>circle region: A= pi*radius^2= pi*(diameter/2)^2= 15^2 pi= 225pi </span>
<span>rectangle region: A= 30*45= 1350 </span>
<span>Volume= (1024+ 1350 +225pi) *6 = 14,244 +1350pi </span>
<span>The units are ft^3 </span>
<span>1 yard = 3 feet </span>
<span>yard^3= 27 ft^3 </span>
<span>ft^3= 1/(27y^3) </span>
<span>Cost = price / unit *Volume +surcharge </span>
<span>Cost= 12.50/y^3 *(14,244 +1350pi)ft^3 +25 </span>
<span>= 12.50/27 *(14,244 +1350pi) +25 </span>
<span>~ $8583</span>
Answer:
To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.
Step-by-step explanation:
Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car
and the observer.
(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have
dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
Let one side of the triangle be x,
Now, using Pythagoras Theorem,
x²+ x²= 24²
X= 12√2
Finally, using the area of triangle formula- 1/2 x 12√2 x 12√2= 144 feet