How can you find the side of a triangle only using angles 33 degrease, 49 degrees, and 98 degrees, and one side which is 100m. I
only need to know the side opposite to 33 degrees but, I’ve been doing online school and my teacher can barely teach this is actually the most I’ve learned all year so I can’t ask him. If someone could help me out thank you so much!!
2 answers:
Answer: x = 72.2
Step-by-step explanation: You have to use Law of Sines. If you don’t know what that is, it’s when you have sin times an angle measure divided by the opposite side length. You set up two of these and make them equal to each other with one unknown. (In this case it would be the side length. So, your equation would look like this: sin49 over 100 = sin33 over x. You are then tryin to solve for x. So, you can use cross multiplication to get
xsin49 = 100sin33. Then divide by sin49 to get x by itself. You would then have x = 100sin33 over sin49. Then you can use your calculator and plug it in to get 72.16 rounding it to 72.2.
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Given that the arrivals of cars at the trans-australian highway follow a poisson distribution with the average rate of arrivals as 1 car per 12 seconds.
This is a Poisson distribution with a mean of 1 car every 12 seconds.
Part A:
The probability of a Poisson distribution is given by:
Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after a car goes by. <span>
The probability he will survive is the probability that no car passes through the point in the next 12 seconds.
Therefore, the probability that he will survive is 0.368
Part B:
Given that </span>at the same point of the highway there is another old wombat, slower but tougher than in the previous exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him. (A single car won’t even slow him down. The arrival rate of cars is still one car per 12 seconds.)
Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)
T<span>he probability that he survives is the probability that 2 cars did not pass through the point.
</span>
This is a Poisson distribution with a mean of 1 car every 12 seconds.
Part A:
The probability of a Poisson distribution is given by:
Given tha one of the old wombats requires 12 seconds to cross the highway, and he starts out immediately after a car goes by. <span>
The probability he will survive is the probability that no car passes through the point in the next 12 seconds.
Therefore, the probability that he will survive is 0.368
Part B:
Given that </span>at the same point of the highway there is another old wombat, slower but tougher than in the previous exercise. He requires 24 seconds to cross the road, but it takes two cars to kill him. (A single car won’t even slow him down. The arrival rate of cars is still one car per 12 seconds.)
Since the arrival rate of cars is one car per 12 seconds, then, in 24 seconds the arrival rate is 2 cars. (i.e. λ = 2)
T<span>he probability that he survives is the probability that 2 cars did not pass through the point.