1 point How many different possible outcomes are there when rolling 2 six-sided number cubes? * 6 30 36 O 72
1 answer:
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Answer:
C) ±8/5
Step-by-step explanation:
Both the numerator and the denominator are positive squares (8 is the square root of 64, and 5 is the square root of 25). Finding the square root of both the numerator and the denominator will yield the simplified fraction ±8/5.
Remember: the square roots of a positive square are always both positive and negative. The square root of is 2 (
) and -2 (
)
3 sin x = 2 ( 1 - sin² x )
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z
3 sin x = 2 - 2 sin² x
2 sin² x + 3 sin x - 2 = 0
Substitution: t = sin x
2 t² + 3 t - 2 = 0
t 1/2 =
t 1 = 1/2
t 2 = - 2 ( this solution is not acceptable )
sin x = 1/2
Answer:
x 1 = π / 6 + 2 kπ, x 2 = 5 π / 6 + 2 k π, k ∈ Z