Answer:
exact form: d=99/2
decimal form: 49.5
mixed number form: 49 1/2
Step-by-step explanation:
sorry for the hold up
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:
1 2/5
Step-by-step explanation:
Step 1:
1.4 = 140/100
Step 2:
140/100 = 70/50
Step 3:
70/50 = 35/25
Step 4:
35/25 = 7/5
Step 5:
7/5 = 1 2/5
Answer:
1 2/5
Hope This Helps :)
Half of a circle
1 circle=360
1/2 circle=360/2=180
1/2 circle cut into 1/3
180 times 1/3=60
60 degreees
