Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
126 inches
Step-by-step explanation:
If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.
420 / 40 = 10.5
So the drawing will be 10.5 feet tall.
To convert 10.5 feet to inches, multiply it by 12.
10.5 * 12 = 126 inches
I believe 62 because it it’s closer to an hour
Circumference=diameter times pi
diameter=12
circumference=12 times pi
we use pi=3.14
circumfernce=12 times 3.14
circumference=37.68 ft
round to tenth
8 is greater than 5 so roundup
37.7ft