The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,
180(n - 2)/ n = 3(360/n)
The value of n from the equation is 8. The polygon with 8 sides is an octagon.
<em>Answer: OCTAGON</em>
Answer:
x = 0 or x = -2
Step-by-step explanation:
x^4+8x=0
Step 1: Factor left side of equation.
x(x+2)(x2−2x+4)=0
Step 2: Set factors equal to 0.
x=0 or x+2=0 or x2−2x+4=0
x=0 or x=−2
Answer:
C 170
Step-by-step explanation:
x>5/3
x>5/3
just put it in the calculator... but that the answer
Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10