Step-by-step explanation:
by Pythagoras theorem:
perpendicular² + base²= hypotenuse²
(1/√2)²+ (1/√3)² = H²
1/2+1/3= H²
5/6 = H²
√(5/6 )= H
√5/√6 = H
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12×12 squared is = 12•144/=
1728
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Answer:
c
Step-by-step explanation:
Since both equations express y in terms of x we can equate the right sides
3x + 5 = - x + 3 ( add x to both sides )
4x + 5 = 3 ( subtract 5 from both sides )
4x = - 2 ( divide both sides by 4 )
x = - 0.5
substitute x = - 0.5 in either of the 2 equations
using y = - x + 3 then y = 0.5 + 3 = 3.5
solution is (- 0.5, 3.5 ) → c
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:

Hence, the probability that the second card is king is 0.05882