Make 100% of your payments on time and keep your credit card debt low.
First, multiply 50*3 to get the answer in feet which is 150 ft.
Then, divide 150 ft by 60 which would be 2.5 ft per second.
The formula for working out the total interior is:
180(n-2) = 1260
So let’s rearrange by dividing both sides by 180 and find what n is:
n-2 = 7
Then let’s add 2 to both sides to find what n is:
n=9
Each interior angle is 1260/9 = 140°.
The sum of the interior angle and its corresponding exterior angle is 180°.
Therefore, the polygon has 9 sides. :)
Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2(
) = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.
