Please help with the screenshot

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

7 0

Answer:

x = 10.73

Step-by-step explanation:

$\sin(59) = \frac{9.2}{x}$

$x = \frac{9.2}{ \sin(59) } = 10.73$

katrin [286]3 years ago

5 0

Answer:

10.73

Step-by-step explanation:

D= 180°-90°-59° = 31°

cos31° = 9.2/x

x = 10.73

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Nutka1998 [239]

Answer:

$\frac{35}{48}$

Step-by-step explanation:

Probability: $Probability=\frac{favourable\ outcome}{total\ outcome}$

Probability of NOT 6:

$Total\ outcomes=\{1,2,3,4,5,6\}\\\\Number\ of\ total\ outcomes=6\\\\Favourable\ Outcomes= NOT\ 6=\{1,2,3,4,5\}\\\\Number\ of\ favourable\ outcomes=5\\\\P(NOT\ 6)=\frac{5}{6}$

Probability of NOT H:

$Total\ outcomes=\{A,B,C,D,E,F,G,H\}\\\\Number\ of\ total\ outcomes=8\\\\Favourable\ Outcomes= NOT\ H=\{A,B,C,D,E,F,G\}\\\\Number\ of\ favourable\ outcomes=7\\\\P(NOT\ H)=\frac{7}{8}$

Probability of NOT 6 and NOT H:

$Both\ events\ are\ independent\\\\P(NOT\ 6\ and\ NOT\ H)=P(NOT\ 6)\times P(NOT\ H)\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{5}{6}\times \frac{7}{8}\\\\P(NOT\ 6\ and\ NOT\ H)=\frac{35}{48}$