56 miles per hour
15 minutes is 1/4 of an hour
1/4 = 0.25
so 56 x 4.25 = 238 miles
Answer:
the height of the tree is 19.2 ft
Step-by-step explanation:
Given;
distance from the foot of the tree, d = 15 ft
angle of elevation; θ = 52°
let the height of the tree = h
Make a sketch of the problem as follows;
↑
↑ h
52°---------------------
15 ft
If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;
Therefore, the height of the tree is 19.2 ft
Answer: 12 days
Step-by-step explanation:
Distance = speed / time
2214.50 = 21.14 / t
t = 2214.50 / 21.14 = 104.75 hours
At 9 hours per day, it will take
104.754/9 = 11.64 = 12 days
Answer:
A very strong, positive correlation between the two variables.
Step-by-step explanation:
Answer: 1200pi cubic cm per sec
========================================
Work Shown:
dr/dt = 3 is the rate of change of the radius
V = (4/3)pi*r^3 ..... volume of a sphere
dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule
dV/dt = 4*pi*r^2*dr/dt
dV/dt = 4*pi*r^2*3
dV/dt = 12*pi*r^2
dV/dt = 12*pi*10^2 ... plug in r = 10
dV/dt = 1200pi
