Answer:
SEE BELOW IN BOLD.
Step-by-step explanation:
a.
h = -16t^2 + 50t
h = 20 t
When the height is the same:
-16t^2 + 50t = 20t
-16t^2 + 30t = 0
t(-16t + 30) = 0
t = 0 or -16t + 30 = 0, so:
t = 0 or -30/-16 = 1.875
So the answer is 1.88 seconds to the nearest hundredth.
b.
For the ball
h = -16t^2 + 50t
Finding the derivative and equating to zero:
dh/dt = -32t + 50 = 0
t = -50/-32 = 1.563
Maximum height after 1.56 seconds to nearest hundredth
c.
When the ball hits the ground h = 0 so
-16t^2 + 50t = 0
-16t(t - 50/16)= 0
T = 3.13 SECONDS TO THE NEAREST HUNDERDTH
Answer:
$72
Step-by-step explanation:
Cost of the lunch = $60
Sales tax = 5% of $60
= 5/100 × 60
= 0.05 × 60
= $3
Tip = 15% of $60
= 15/100 × 60
= 0.15 × 60
= $9
how much in total did he pay?
Total amount paid = cost of the lunch + sales tax + tip
= $60 + $3 + $9
= $72
Latrell paid $72 in total for the lunch
Step-by-step explanation:
In ∆ABC, m∠B = 90°
Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.
Hence, by Pythagoras theorem:
