Check the Wronskian determinant:
The determinant is not zero, so the solutions are indeed linearly independent.
By the Pythagoras theorem:-
h^2 = x^2 + x^2
(where h = hypotenuse)
h^2 = 2x^2
h = sqrt2 x
Answer:
x = ⅘
Step-by-step explanation:
For clarity, exponents should be marked with a ^. 25x² can be written as 25x^2.
25x² = 16
divide both sides by the 25
x² = 16/25
take the square root of both sides
x = √(16/25) = √16/√25 = 4/5
- The area of the circle is:
A=πr²
A is the area of the circle.
π=3.14
r is the radius of the circle.
- To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:
As=(</span>θ/2π)πr²
As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.
- First, you must find the radius:
r=Diameter/2
r=20.6 mm/2
r=10.3 mm
- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:
As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²
- Finally, the area of the sector is:
As= 37.01 mm²
