Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
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-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
10 coins in nickels & dimes = $0.70
1 nickel = $0.05
1 dime = $0.10
4 dimes = $0.40
6 nickels = $0.30
4 dimes + 6 nickels = 10 coins
$0.40 + $0.30 = $0.70
The answer is: He has a total of 4 dimes in his pocket.
Trapezoid, height 7, bases 5 and 6, so
area = (1/2) (6 + 5)(7) = 77/2 = 38.5
Answer: 38.5
As a check it's a 7×5 rectangle plus a 7×1 right triangle, so
A = 7×5 + 7×1/2 = 35 + 3.5 = 38.5, good
