Answer: 40 degrees
Step-by-step explanation:
The angles of a triangle add to 180 degrees.
44 + 96 + x = 180
x = 40 degrees
1 and 1/15
Work backwards, so add 7/18 to 1 5/6 first (I'm gonna add them in improper fraction form to make it easier) and you get 40/18 which is 20/9
Then multiply by 1 1/5 (or 6/5) to get 120/45 which simplifies to 8/3
Then divide by 2 1/2, or 5/2, which means you multiply by the reciprocal (2/5)
8/3 times 2/5 equals 16/15 or 1 1/15
Answer:
Step-by-step explanation:
You have to apply the Pythagorean Theorem here
Diagonal Route ^2 = 60^2 + 80^2
D^2 = 3600 + 6400 = 10 000
D = 100
The function for this problem is:
h(t) = -16(t)^2 + vt + s
h= the height
t= time
v= velocity
s= starting height
With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get:
h(t) = -16(t)^2 + 35t
Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
H=√64-16=√48=4√3
A=[(18-4)+18]*4√3/2=32*2√3=64√3
A=64√3
