The answer to this question is 1/6
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:


So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:


Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Answer:
Surface area = 505cm²
Step-by-step explanation:
Surface area of the triangular prism. = 2B + ph
B is the base area
p is the perimeter of the triangle
h is the height of the triangle
Base area = 1/2 * base * height
Base area = 1/2 * 18 * 40
Base area = 9 * 40
Base area = 360cm²
Perimeter of the triangle = 41 + 41 + 18
Perimeter of the triangle = 100cm
height of the prism = 45cm
Surface area = 360 + 100 + 45
Surface area = 505cm²
We subtract the area of the fountain (a(f)) from the total area of the fountain + walk (a(t)), to find the area of the walk (a(w))
diameter of fountain = 10 so r = 5
a(f) = pi*r^2 = pi*25 = 78.5
r of fountain + walk = 5 + 3 = 8
a(t) = pi*r^2 = pi*64 = 200.96
a(w) = a(t) - a(f) = 200.96 - 78.5 = 122.46 square feet
Answer:
36x + 9 equivalent to 9(4x + 1)
9(4x - 1) equivalent to (3 . 12x) - (3.3)
(4.9x) + (4 . 2) equivalent to 36x + 8