The solution would be like
this for this specific problem:
sin 54 degrees = Height/718.0624
Height = (sin 54 degrees)(718.0624) = 580.9 ft
So the height of the balloon is 580.9 ft. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
6x^2-5x-1>0
(6x-1)(x+1)
x=1/6 x=-1
We can solve this problem using discriminant.
x^2-4x-12's discriminant is
(-4)^2-4*-12=16+48 which is clearly larger than 0
This means that it crosses over the axes 2 times.
In case you don't know what discriminant is, its in equation ax^2+bx+c
the discriminant is b^2-4ac.
If its positive it has 2 crosses with x axis, if negative then 0 crosses, if 0 then 1 cross.
Hope this helped at least a little bit :D
A because x is the original price, so you multiply by the tax (9%) which would convert to 1.09 which you would multiply to the x
Area of the square = (9 m)^2 = 81 m^2
The four circular sectors combine to form a circle with diameter 9 m, hence radius 4.5 m.
Area of the circle = π (4.5 m)^2 = 20.25π m^2
Then the area of the shaded region is
81 m^2 - 20.25π m^2 ≈ 17.4 m^2
