





With the initial condition
, we find



So the particular solution to the IVP is

Answer:

Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;

The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;

Answer:
0.16 ft
Step-by-step explanation:
v = 4/3 πr³
v = 4/3 × 3.142 × 1/3 × 1/3 × 1/3
v = 0.16 ft
The correct answer for this would be -10
The angle does not matter. Think of it as finding the other side to a triangle. Use

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)


(subtract the 1521 from both sides)

(square root both sides)

b = 80
AD=80