What is x in 3.6x=1.6x+24
1 answer:
You might be interested in
For this case we have the following apple picking options, in dozens:
<em>Tyler:</em>
Tyler picked up a dozen.
<em>Olivia:</em>
Olivia collected 0.833 dozen apples.
<em>Samantha:</em>
Samantha collected 0.667 dozens of apples.
Thus, it is observed that Samantha collected the least amount of apples.
ANswer:
Samantha
Answer:
6.667 ft/s
Step-by-step explanation:
Given
Height of street light = 15ft
Height of man = 6ft
Speed away from pole = 4ft/s
Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.
This forms a similar triangle (see attachment below).
From similar triangles, we have
(y - x)/6 = y/15 ----- Solve equation
15(y - x) = 6 * y
15y - 15x = 6y ---- Collect Like Terms
15y - 6y = 15x
9y = 15x --- divide through by 9
y = 15x/9
y = 5x/3 ---- differentiate with respect to time, t
dy/dt = 5/3 dx/dt
dx/dt represents rate of change of distance per time = 4ft/s
while dy/dt represents rate of movement of his shadow tips
dy/dt = 5/3 * 4
dy/dt = 20/3 = 6.667 ft/s
