Answer:
x = 36.87 degrees.
Step-by-step explanation:
4 cos x + 3 sin x = 5
Use the Auxiliary angle method:
R sin (α + x) = R sin α cos x + R cos α sin x
Comparing coefficients:
R sin α = 4 and R cos α = 3
R sin α / R cos α = 4/3
So tan α = 4/3
α = 53,13 degrees.
Now R^2(sin^2 α + cos^2 α ) = 3^2 + 4^2 = 25
R^2 = 25
R = 5.
R sin (x + 53.13) = 5
5 sin ( x + 53.13) = 5
sin (x + 53.13) = 1
x + 53.13 = 90
x = 36.87 degrees.
5. We need to subtract 20% from the selling price of 18 000 as that will give his cost price
20/100 X 18 000 = 3600
18 000 - 3600
= 14 400.
7) 20 527,5 Rs
Answer:
Answer = C
Step-by-step explanation:
Young adults are not emotionally ready to have children, they are scared and frightened to what is going to happen in the future. At young adult times, they have high anxiety and stress.
Hope this helps!
Answer:
(1,3) or (3,7)
Step-by-step explanation:
y=x²-2x+4.......... i
y=2x+1............... ii
Equating i and ii,
x²-2x+4=2x+1
x²-2x-2x+4-1=0
x²-4x+3=0
x²-x-3x+3=0
x(x-1)-3(x-1)=0
(x-1)(x-3)=0.
Either, x=1 or x=3.
If x=1,y=3 and if x=3, y=7
The points are (1,3) or (3,7)
An expression for that would be 10u