Answer:
4/5
Step-by-step explanation:
For lines represented by the equation "y = mx + b", m is the slope. In this case, m = 4/5
Answer:
197
Step-by-step explanation:
788 / 4 = 197
9514 1404 393
Answer:
14.71°
Step-by-step explanation:
The tangent relation can be helpful here.
Tan = Opposite/Adjacent
With reference to the attached diagram ...
tan(22°) = CD/DA = (150 ft)/DA
tan(x) = CD/DB = (150 ft)/(DA +200 ft)
Substituting for DA, we find ...
tan(x) = (150 ft)/((150 ft)/tan(22°) + 200 ft) ≈ 150/(371.26 +200) ≈ 0.262576
x = arctan(0.262576)
x ≈ 14.71°
Let X(t)=the position function with respect to time, t.
We're given:
X(0)=12 (from graph)
v(0)=0
X(2.5)=7
There is enough information to construct X(t).
In general,
X(t)=kt^2+v(0)(t)+x0
where initial velocity=v(0)=velocity at time 0 = 0 (given)
x0=initial position at time 0 = 12 (from graph)
Substituting values, the position equation is
X(t)=kt^2+12
Substituting given value X(2.5)=7 => 7=k(2.5^2) + 12
Solve for k to get k=(12-7)/6.25 = -4/5
The position equation now becomes
X(t)=-4t^2/5+12
For t=25,
X(25)=-4(25^2)/5+12=-500+12 = 488 m