Answer:
Law of cosines to find missing measures
c^2= a^2+ b^2 - 2ab*cos(C)
Used because it is a SAS triangle
Step-by-step explanation:
This is known as a side, angle, side, or SAS triangle. We can find the missing measures by using the Law of cosines
c^2= a^2+b^2-2ab*cos(C)
<span>circumference=pi * 2 radius=12pi, radius(small)=6;
</span>circumference=pi * 2 <span>radius=32pi, radius(small)=16;</span>
6:16=3:8
<span>(2 (m to the second)) * 2 (m to the third) =</span>4 m5
<u>We are given:</u>
The function: y = -16t² + 64
where y is the height from ground, t seconds after falling
<u>Part A:</u>
when the droplet would hit the ground, it's height from the ground will be 0
replacing that in the given function:
0 = -16t² + 64
16t² = 64 [adding 16t² on both sides]
t² = 4 [dividing both sides by 16]
t = 2 seconds [taking square root of both sides]
<u>Part B:</u>
for second droplet,
height from ground = 16 feet
time taken = t seconds
acceleration due to gravity = 10 m/s²
initial velocity = 0 m/s
h = ut + (1/2)at² [second equation of motion]
16 = (0)(t) + (1/2)(10)(t²)
16 = 5t²
t² = 16/5
t = 1.8 seconds (approx)
Therefore, the second droplet takes the least amount time to hit the ground
