Answer:
<h2>The angle ABC is 70°.</h2>Step-by-step explanation:
You can observe a representation of the problem in the image attached.
According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means
Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.
Therefore, the angle ABC is 70°.
Answer:
Step-by-step explanation:
General equation of a parabola that opens up is , a>0
So equation becomes which implies option A and option B can never be true for this parabola.
Also this parabola's vertex lies in 3rd quadrant where coordinates of both x and y will be negative.
So, the equation of parabola will be of the form
Hence, option 4 that is is correct.
Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
