Answer: 8 hours.
Step-by-step explanation:
We have the relation:
Time = distance/velocity
Distance = 50 miles
Velocity in horse = 9mph
Velocity walking = 3 1/2 mph = 3.5 mph
Then, if T is the total time, X is the distance that he travels in horse and Y is the distance that he travels by foot, we have:
X + Y = 50 miles:
T/2 = X/9mph
T/2 = Y/3.5mph
Then we have:
X/9mph = Y/3.5mph
X = Y*(9/3.5)
And by the first relation:
X = 50 mi - Y
then we have:
50mi - Y = Y*(9/3.5)
50mi = Y + Y*(9/3.5) = Y*(1 + 9/3.5) = Y*3.57
Y = 50mi/3.57 = 14mi
Then we have:
T/2 = 14mi/3.5mph
T = 2*(14/3.5) hours = 8 hours
Answer:
64°
Step-by-step explanation:
Using Pythagoras rule :
Cosθ = adjacent / hypotenus
Adjacent = 167
Hypotenus = 381
Cosθ = 167 / 381
Cosθ = 0.4383202
θ = Cos^-1(0.4383202)
= 64.003
Hence, angle of elevation = 64°
Answer:
X - 1
Step-by-step explanation:
F(x) = - 1
F(1) = x
Answer:
The answer to your question is the letter C
Step-by-step explanation:
To answer this question just look at the graph, the solution to the system of the quadratic equation and the linear function, are the points where these function cross.
The first point where these functions cross is Point C
The second point where these functions cross is Point E
Answer: A fireworks shell is shot straight up with an initial velocity of 80 feet per second. Its height s after t seconds is given by the equation
s = 80t − 16t2.
Step-by-step explanation:
