Answer:
2
Step-by-step explanation:


Use the sum of angles's trigonometric identity formula:
cos(A+B)=(cosAcosB-sinAsinB)
x+y=4cos(t+π/6)+2sint=4(cost*cosπ/6-sint*sinπ/6)+2sint
recall that cosπ//6=√3/2, and sinπ/6=1/2:
4(cost*cosπ/6-sint*sinπ/6)+2sint=4[(√3/2)cost-(1/2)sint]+2sint
simplify:2√3cost-2sint+2sint=2√3cost
Answer:
D.]
Step-by-step explanation:
We will find the standard deviation and variance:
Variance= E
-[![[E(x)]^{2}](https://tex.z-dn.net/?f=%5BE%28x%29%5D%5E%7B2%7D)
E[x] = 3.462
E[{x}^2]= 31.86
Var(x)= 31.86-(3.462)^2 = 28.4
Standard deviation = 
= 
= 5.833 = 6(aproximately)
Therefore, the chances of winning are equal in each lane.
Answer:

Step-by-step explanation:
- TSA (total surface area) of cuboid= 2(lw+wh+hl)
and the problem said one small cube with 1m width that means it also has 1m length and height
so lets count the cubes for the height, length and width
- Height contains 4 cubes (4m)
- Length contains 4 cubes also (4m)
- Width contains 2 cubes (2m)
Now lets put the givens we got from the figure in the formula of TSA
2*(4*2+4*2+4*4)=64