Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
Answer:
Step-by-step explanation:
For reference, one full circle is 360 degrees or 2pi radians.
If we were to convert 360 degrees to radians, we could set up the following equation:
360k = 2pi
where k is a constant. By solving for k, we can find what value we must multiply any angle in degrees by to get its radian counterpart.
Divide both sides by 360:
k = 2pi/360
Reduce:
k = pi/180
So to convert an angle from degrees to radians, multiply it by pi/180. For example, 120 degrees would be:
120 * pi/180 = 2pi/3 radians
