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Answer:
9/56
Step-by-step explanation:
the odds of the first one being green is 3/8
the odds of the second one being blue is 3/7 because one was removed
multiply these to find the probability
3/8*3/7=9/56
Hey!
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I'm going to assume that the value of t is x.
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Steps To Solve:
3(x - 2) = 6
~Distributive Property
→ 3x - 6 = 6
~Simplify
→ 3x + (-6) = 6
~Add 6 to both sides
→ 3x + (-6) + 6 = 6 + 6
~Simplify
→ 3x = 12
~Divide 3 to both sides
→ 3x/3 = 12/3
~Simplify
→ x = 4
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Hence, x equals 4!
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Hope This Helped! Good Luck!
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
10cm by 6cm because 5 goes into 50 10 times so 10 time 1cm = 10cm and same for the other
