Check the picture below.
make sure your calculator is in Degree mode.
Answer:
t = 1.5 seconds
Step-by-step explanation:
Given that d = −4t^2 + 2t + 6,
where d = distance above the water and
t = seconds.
Let assume that it's a perfect parabola
At the symmetry
t = -b/2a
Where a = -4, b = 2
t = -2/2(-4)
t = 1/4
To determine how long it will take a diver to reach the water’s surface
d = −4t^2 + 2t + 6
At water surface d =0
4t^2 - 2t - 6 = 0
Factorizing the above equation leads to
4t^2 + 4t - 6t - 6 = 0
4t(t + 1) -6(t + 1) = 0
4t - 6 =0
4t = 6
t = 6/4= 3/2 = 1.5 seconds
Since t can't be negative so we ignore the second factor.
A minute is 6 times as long as 10 seconds, so we expect Karl will ride 6 times as far.
Karl rides 720 ft in 1 minute.
The pot can hold 5.23 quarts
Step-by-step explanation:
- Step 1: Find the volume of the right cylinder shaped pot.
Diameter of the pot = 8 in
⇒ Radius = 4 in
Height = 6 in
⇒ Volume of the pot = πr²h = 3.14 × 4² × 6
= 301.44 in³
- Step 2: Convert inches to quarts.
1 in³ = 0.017316 liquid quarts
⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts
