Standard Form
1 answer:
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Answer:
4.9 feet
Step-by-step explanation:
First, we need to determine the height of the building using the following:
Where
H = Height of the building
L = Length of the first ladder = 20ft
B = Distance from the base of the building = 10ft
So, we have:
Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:
Where
--- Length of the second ladder
----- Height of the building
So, we have:
Solving for B2, we have:
Answer:
(a) 720
(b) 180
Step-by-step explanation:
We are given 10 numbers (1,2,3,4,.....,10).
(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.
Number of ways to choose the 1st number = 10
Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)
Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)
Total number of ways of choosing 3 unique numbers =
(b)
Number of ways of choosing 1st number = 10 (no restrictions)
Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)
Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.
So, number of ways to choose 3rd number = 2
the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =
Hence, the answers are:
(a) 720
(b) 180