Answer:
the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Step-by-step explanation:
since the line D that starts from the spectator and follows the plane has the following equation
D² = x² + H² , where H= altitude of the plane , x= horizontal distance
then for x=v*t , where v=speed of the plane and t=time since the plane has passed overhead , we have for the elevation angle
tan θ = x/y = v*t /H
θ = tan⁻¹ ( v*t /H)
the rate of change in the angle of the spectator's sight θ with the time is
dθ/dt = 1/1+(v*t /H)² * (v/H) = (v/H)/[1+ (v/H)²*t²]
for t=8 seconds
dθ/dt = (875 ft/s/21000 ft)/[1+ (875 ft/s/21000 ft)²*(8 s)²] = 0.0375 rad/s
therefore the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
67 + 23 = 90
Because this pair of angles adds up to 90, they are complementary angles.
Hope this helps!! :)
Elena walked 15 miles because 1/4 of 12 is 3 and 12+3= 15
Answer:
a) mean=1,8 b) mean=3.6 c) mean=7.2
Step-by-step explanation:
a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9
9/5=1.8
b) 4.8+3.2+6.4+0.6+3=18
18/5=3.6
c)9.6+6.4+12.8+1.2+6=36
36/5=7.2
Answer:
the slope is a positive and the point is (-1,-2) the equation is 3=(×1,2)
Step-by-step explanation:
if im wrong im so sorry
