We know that
volume of the box=length*width*height
V=L*W*H----> H=V/[L*W]
V=576 in³
L=12 in
W=8 in
so
H=576/[12*8]----> H=6 in
the answer is
the height of the box is 6 in
From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.
The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:
3.63 t = 1.055 t^2 ==> 1.055 t^2 - 3.63 t = 0
==> t = 0 s or t = 3.44 s
Answer:
1249. 5 inches
Step-by-step explanation:
Pole length , Pl = 2 fts
Pole shadow, Ps = 20 in = (0.0833 * 20) = 1.666 ft
Tower length, Tl = 125 ft
Tower shadow, Ts = x
Pl / Ps = Tl/ Ts
2/ 1.666 = 125 / x
Cross multiply
2x = 125 * 1.666
2x = 208.25
x = 104.125 ft
x = 104.125 * 12 = 1249. 5 inches
I think it’s b.5. Hope this helps. :)
Angle A and angle B sums up to 180 (interior angles)
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18
angle A = 6(18)-35 = 73 degrees
