Answer:
2/13 or 15.38%
Step-by-step explanation:
Number of Aces in a deck = 4
Number of 7s in a deck = 4
Number of cards in a deck = 52
Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards
This simplifies to 2/13 or 15.38%
(3m - 4n - 7) - (8m + n - 6)
3m - 8m = - 5m
-4n - n = -5n
-7 - (-6) = -7 + 6 = -1
-5m - 5n - 1 is your answer
hope this helps
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
