Answer:
8 seconds
Step-by-step explanation:
lets first start by plugging in 1024 into initial height
h(t) = -16t^2 + 1024
I would find a Greatest Common Factor (GCF) first
-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation
But now we notice that T squared -64 can be factored with the difference of perfect squared method
so we will get -16(t-8)(t+8)
So to get the answers we will set everything equal to 0
-16t =0
t =0 this is the time that the penny was thrown
t-8 = 0
t = 8 the is the time the penny hit the ground
t+8 =0
t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.
The area of a triangle can be calculated using the following equation:
A = 1/2 (B x H)
Where B is the dimension of the base and H is the height of the triangle.
Since the area is known and the dimension of the base is also known, substitute the values into the equation to find the height:
3.6 cm2 = 1/2 (6 cm) (H)
Solving yields an answer of 1.2 cm. Hence the height is 1.2 cm.
Y=Mx+C
-8=m(-3)+(-5)
-8=-3m-5
-8+5= -3m
-3= -3m
— —
-3 -3
0=m
M=o
Therefore the equation is y=0x+ (-5)
When you find the area, you want to break it up into different parts. Therefore, one part would be a square and the other part can be a trapezoid. Start out with finding the area of a square by multiplying 6 and 6. This will get you 36. Then, subtract 6 from 21. This will get you, 15. Then use the area of a trapezoid formula, which is A=(a+b)/2 times H. The H is the heigh, the a and b are the top and bottom bases. So if you plug it into the equation, (7+15)/2 then multiply that by 6 ( which is the height). this will get you 66. If you add 66+36, it equals 102 which is the area
If you add them all together, you'd get 157. Then you divide by 7 and you'd get 31.4
