Answer:
B
Step-by-step explanation:
The maximum time 1.75 second in case of not having the height:
1. change in ax²+bx+c form⇆ -16t²+56t-40=h
h=(8-8t)(2t-5)
h=16t-40-16t²+40t
h=-16t²+56t-40
2. t max=-b/(-2a)=-56/(-2×-16)=1.75 second
Final answer: 5
Step by step process:
You can make the equation a little simpler by putting in the 3 for x
btw I show exponents with this ^
(3)^2/3 + 2
3^2=3*3=9
Now you have 9/3 + 2 and you keep simplifying
9/3=3
3+2=5
Final answer: 5
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
-----------------------------------------------------------------------
Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
-----------------------------------------------------------------------
Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Triangle XWV is an equilateral triangle(every angle is 60). So both angle V's are vertical angles, which means the are the same(60). Y is 90. So once you have 60 and 90 in triangle YZV, you know the last angle(Z) is 30. But since angle Z is 30 and angle X is 60, they are complementary and not supplementary(which adds up to 180)