9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Answer:
6.33... and 0.333...
Step-by-step explanation:
The quadratic formula is
.
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.
We will now solve for the plus and the minus.
The plus,,,
and the minus...
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
Answer:
The central angle is within the range π to 3π/2
Step-by-step explanation:
To convert from degrees to radians, we multiply the angle in degrees by 180/π.
To convert from radians to degree, we multiply the angle in radians by 180°/π.
π/2 = π/2 X 180°/π= 90°
π rad = π X 180°/π= 180°
3π/2 = 3π/2 X 180°/π= 270°
2π = 2π X 180°/π= 360°
Therefore the angle 250 which is between 180 and 270 is within the range :
π to 3π/2
A = P*r*t
A = overall value
P = principal (initial value)
r = annual interest
t = time (in years)
Plug in what we have:
4000 = 2000*r*8
Simplify:
0.25 = r
The annual interest is 25%
