See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
The number is multiplied by 3 every time
and next three terms are 1/324, 1/972 and 1/2916
good luck
Answer:
10.9451≈10.9 feet
Step-by-step explanation:
sinT= hypotenuse/ opposite = x/5.8
sin32= x/5.8
x*sin 32=5.8
x=5.8/sin 32= <u>10.9451≈10.9 feet</u>
In a parallogram the two angles on the same side ( Angle T and Angle C) equal 180 degrees
So we have 8x +29 + 2x +11 = 180
combine the like terms:
10x + 40 = 180
Subtract 40 from each side:
10x = 140
Divide each side by 10:
X = 140 /10
X = 14
Now we have X, replace X into the equation for angle C
2(14) +11 = 28 + 11 = 39 degrees
