(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)
24/x = 8/5
24*5 = x*8
120 = 8x
8x = 120
8x/8 = 120/8
x = 15
The tree is 15 feet tall
Answer:
There are an infinite number of values satisfying the requirements; every couple of numbers satisfying the following conditions are valid:
base = 60-w meters
width = w meters
0 < w <= 22
Step-by-step explanation:
Since the playground has a rectangular shape, let us us call b the base of the rectangle and w its width. In order for the rectangle to satisfy the condition of P = 120, we need for the following equation to satisfy:
2b + 2w = 120
Solving for b, we get that b = (120 - 2w)/2 = 60 - w .
Given a particular value (w) for the width, the base has to be: (60-w).
Therefore, the possible lengths of the playground are (60-w, w), where 60-w corresponds to the base of the rectangle and w to its width. And w can take any real value from 0 to 22.
Answer:
c
Step-by-step explanation:
The distance of the car from the stop sign, d , in feet, at time t , in seconds, can be found using the equation
The average rate of change of a function f(x) on [a,b] is
We need to find the average speed of the car, in feet per second, between t=2 and t=5.
At t=2,
At t=5,
The average speed of the car, in feet per second, between t=2 and t=5 is
The average speed of the car, in feet per second, between t=2 and t=5 is 7.7 feet per second.
The answer is 0.02
We rounded the 1 up to a 2 because it was followed by a 5. If it were followed by something smaller than 5, it would have remained the same.
Answer c: 1/4 divided by 2
