Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Answer:
Your question is incomplete, please edit it.
Answer:
53\40
Step-by-step explanation:
27-13=14
39+1=40 14-1=13 13+40=53
53\40
A circle is 360 degrees. When cut in half, 360/2 = 180, the new angle of the shape is 180. Cut the half circle in half again and you get 180/2 = 90. It sounds like you only need to cut it into half twice, (if not, then you divide it in half how ever many times it says to) The angle would be 90 degrees. Hope this helps!
Answer:
- 5 < x
Step-by-step explanation:
To solve, we need to isolate the variable: x
5x - 7 < 8x + 8
Subtract 5x from both sides
5x - 5x -7 < 8x -5x + 8
- 7 < 3x + 8
Subtract 8 from both sides
- 7 -8 < 3x + 8 -8
-15< 3x
Divide both sides by 3
- 15/3< 3x/3
- 5 < x
