10) Cynthia is shopping for a new camera. It costs $549.95. If she has a 15% off coupon and $500 saved up, how much will the cam
2 answers:
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The half angle formula is:
sin x/2 = +/- √ (( 1-cos x ) / 2 )
5π/12 = 5π/6 : 2
sin 5π/12 = +/- √(( 1 - cos ( 5π/6)) / 2 )
cos 5π/6 = cos 150° = -√3/2
≈ 0.966 ( this is sin 5π/12 )
sin x/2 = +/- √ (( 1-cos x ) / 2 )
5π/12 = 5π/6 : 2
sin 5π/12 = +/- √(( 1 - cos ( 5π/6)) / 2 )
cos 5π/6 = cos 150° = -√3/2
≈ 0.966 ( this is sin 5π/12 )
Answer: the two factors are (5x + 3) and (2x + 1)
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.