All outcomes being equally likely, what is the probability a classmate receives a gift bag with a bouncy ball?
1 answer:
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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.
9514 1404 393
Answer:
√42 ≈ 6.48074
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.
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42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.