Answer:
517
Step-by-step explanation:
The radius of a circle is just half of the diameter (1/2d = r)
1034/2 = 517
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
Answer:
X = -8 and X = 2
Step-by-step explanation:
X^2 + 6X - 6 = 10
Bring the 10 over:
X^2 + 6x - 16 = 0
From here, either use the quadratic formula or
manual factorization by finding its roots:
Manually:
(X + 8)(X - 2) = 0
Equate each factor to 0 you will get:
X + 8 = 0 and X - 2 = 0
Solutions are -8 and 2 respectively.
Answer:
as it is a square toy
area = l×l
64=l^2
√64=l
8=l
therefore,each side of the toy is 8m long
Answer:
x < 24
Step-by-step explanation:
If ur looking to solve for x that would be ur answer
