Answer:
P= 2 (a+b)
Step-by-step explanation:
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
- Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
- Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).
Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
- Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).
Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Answer:
16.5+13.6+12.4.17.7= 60.2
60.2÷4 =15.05
Answer:
n=17
Step-by-step explanation:
you have to set the two equations equal to each other because its angles are the same. once you do this, its just simple algebra, trying to solve for n. Hope this helps :)
