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
Answer:
2/9
Step-by-step explanation:
This will be the simplest term because you divide 4 by to 2 then 18 by 2 to equal 2/9 you cannot simplify it anymore by the same number
This is a very good question to know about. People who make tests really like it.
The way to solve it is to make the slower car stop and use the difference in speed = to the rate. then do it as an ordinary d = r*t problem.
The difference in speeds is 44 - 36 = 8 miles/ hour.
d = 260 miles
r = 8 mph
t = ???
t = d/r
t = 260/8
t = 32.5 hours.
Thats 32 1/2 hours.
I do not know the answer but i do know that PI is 3.14159265359
Answer:
y = 2x- 3
Step-by-step explanation:
1) D // D' , this means that mD = mD'
6x -3y +18 =0
6x +18 =3y
6x/3 +18/3 = y
2x +6 = y. m= 2
2) Find the equation of D'
y - y' = m (x - x')
y - 1 = 2(x - 2)
y-1 = 2x - 4
y = 2x-3
