Because both lines are parallel, if you add the 5x+5 to the 115 those would equal 180 degrees
so you have 5x+5 + 115 = 180
combine like terms:
5x + 120 = 180
subtract 120 from both sides
5x = 60
x = 60/5
x = 12
Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
30 + 50
240/3
20*4
43 + 37
Essentially any equation that equals 80.
