Answer:
x = 28.60 feet
Step-by-step explanation:
We are given a height of 2 feet above the ground and the angle of elevation of 86 degrees.
Now, let's assume that the form of our problem is in the form of a right triangle, we can solve for the remaining angle as follows;
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is been calculated below as
2/sin 4 = x / sin 86
solving for x we have
x = 28.60 feet
We have 28.60 feet as our answer
Answer:
1 3/8 Feet
Step-by-step explanation:
Take 2 1/2 and subtract 1 1/8 which gives u 1 3/8
if u don't understand fractions u can always turn ur fractions into decimals that's what I did :)
286 ÷ 5 1/2 hours = 286 ÷ 5.5 = 52 final answer
Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
Answer:
The volume can be found by multiplying these two numbers, which is
65/4 x 1/2
65/8 units^3
Let me know if this helps!
