Twenty-two ten thousandths is
.0022
X is the radius of the slice. So we must find the equation of the side of the cone.
y=mx+b, so now we must use two points to solve for the slope, or "m".
m=(y2-y1)/(x2-x1)
m=(0-15)/(5-0)
m=-15/5
m=-3 so our line so far is:
y=-3x+b, b=y-intercept=value of y when x=0, which we can see is 15 ft so:
y=-3x+15
Now the radius is x, so we must solve for x from the equation above...
-3x+15=y subtract 15 from both sides
-3x=y-15 divide both sides by -3
x=(15-y)/3
And area of this circle is:
A=πx^2, and using x found above:
A=(π/9)(15-y)^2
A=(π/9)(225-30y+y^2), so when y=6 ft
A=(π/9)(225-30*6+6^2)
A=(π/9)(81)
A=9π or if we let π=pi
A=9pi ft^2
SA = 4 * (pi) * r^2......solving for (pi)
divide both sides by 4r^2
SA / (4r^2) = (pi)
Answer:
x = 9
Step-by-step explanation:
3(3x + 5) = 96
Divide both sides by 3.
3x + 5= 
Divide 96 by 3 to get 32.
3x + 5= 32
Subtract 5 from both sides.
3x = 32 − 5
Subtract 5 from 32 to get 27.
3x = 27
Divide both sides by 3.
Divide 27 by 3 to get 9.
Hope it helps and have a great day! =)
Answer:
The answer would be 0.6 gallons, or 3/5
Step-by-step explanation:
