Answer:
C) 120
It can be turned 120 degrees clockwise or 120 degrees counterclockwise.
Answer:
1000 and 9000 and 40
Step-by-step explanation:
Think of the given points as endpoints of vectors.
The point (3, 1) is the terminus of the vector 3 i + j.
The point (-4, 2) is the terminus of -4 i + 2 j.
By the "triangle rule" for vector summation, the vector starting at (3, 1) and ending at (-4, 2) is the difference between these two vectors.
(-4 i + 2j) - (3i + j) = -7 i + j
A) We want to know when h=10 so
10=-16t^2+40t+3
16t^2-40t+7=0
Using the quadratic formula:
t=(40±√1152)/32
t≈0.189 and 2.311 seconds
So it is at 10 ft twice, about 2/10 of a second when it is rising and at 2 3/10 of a second when it is falling...
b.
The maximum height of the ball is when velocity is equal to zero, or dh/dt=0
dh/dt=-32t+40, dh/dt=0 when 32t=40, t=40/32=5/4=1.25 seconds
h(1.25)=28ft
So the maximum height of the ball occurs after 1.25 seconds and reaches a height of 28 feet.
Answer: 8.3
Step-by-step explanation: 37 divided by=12.3 then 12.3 - 4
