Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
I’m pretty sure you have it right already
The distance in kilometers in scientific notation 
<h3>Scale factors</h3>
Scale factors are values or constants multiplied with a variable
If Alvin and Simon raced a distance of 
kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:
- Distance travelled =
- Distance travelled =
Hence the distance in kilometers in scientific notation
Learn more on distance here: brainly.com/question/23848540
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
A(r)=3.14r^2, when r=5
A(5)=3.14(5^2)
A(5)=3.14(25)
A(5)=78.5 u^2
