Answer:
$64222.22
Step-by-step explanation:
If we call the original value as x, we can write:
1445 = x * (0.15)² (Note: We write 1 - 0.85 = 0.15 and not 0.85 because 0.85 is the decay factor)
1445 = 0.0225x
x ≈ 64222.22
Answer:
15.35 m²
Step-by-step explanation:
For a central angle of θ in radians, the area of a segment is ...
A = (1/2)r²(θ -sin(θ))
The central angle subtending the segment is 120°, or 2π/3 radians. Thus the segment area is ...
A = (1/2)(5 m)²(2π/3 -sin(2π/3)) = (25 m²)(π/3 -(√3)/4)
A ≈ 15.35 m² . . . . area of shaded segment
Answer:
Graph A = 20miles/gallon
Graph B = 20
Step-by-step explanation:
For graph A, to find the change you will need to choose two points from the graph (the easier the better)
So for example, I've chosen 40miles-2gallons (2, 40) and point 0 (0, 0)
Now you will need to remember the slope formula which is:

so your point (x1, y1) will be (0, 0)
and point (x2, y2) will be (2, 40)
so 
which is 
and so you get that the slope will be 20 miles/gallon
For graph B, what they want you to see is that change of y/change of x means the same as change of miles/change of gallons since x is the gallons and y is the miles.
The distance between the points is ≈6.4
This question is actually pretty simple! In one hour, you can go 23 miles. So just multiply 23 by four and you get... 92 miles in four hours!
Hope this helps! Have a great day!