Answer:
y= 12
Step-by-step explanation:
2/3 y + 7 = 15
Subtract 7 from each side
2/3 y + 7-7 = 15-7
2/3 y = 8
Multiply each side by 3/2 to isolate y
3/2 * 2/3 y = 3/2 * 8
3/2 * 2/3 y = 3 * 4
y = 12
The equation of motion is
s(t) = (1/2)a·t² +v₀·t +s₀
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.
For t in seconds and s(t) in feet, your values make this equation be
s(t) = 5t² -20t +8
Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° = 
, thus
sin60° = 
= 
= 
= ( cross- multiply )
2BD = 12
( divide both sides by 2 )
BD = 6
-----------------------------------------------------------
Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° = 
, thus
tan30° = 
= 
= 
= ( cross- multiply )
AD = 6 ( divide both sides by )
AD = 6 → B
