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Answer:
The sum of the two numbers is 15
Step-by-step explanation:
Let the counting numbers be x and y.
Then we can write the following equations
x=4y.......1 (one is four times greater )
x(y)=36.....2 (the product of the two)
Putting equation 1 into equation 2, we get
4y(y)=36
Dividing through by 4,we get
Taking square root of both side, we obtain
y=3
Putting the value of y into equation , we get
x=4(3)=12
Hence the numbers are 3 and 12
Therefore the sum of the two numbers is 3+12=15
Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that
<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence
<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence
<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence
<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence
See the picture to better understand the problem
we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft
the answer is
181.14 ft
we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft
the answer is
181.14 ft