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Rufina [12.5K]
3 years ago
9

Pete is standing 4 feet away from a mirror on the ground. Pete is 6 feet tall and can just see the top of the tree in the mirror

from where he is standing. The two triangles formed in the picture above are similar.
If the mirror is 16 feet away from the base of the tree, how tall is the tree?

a. 18 ft
b. 10 ft
c. 24 ft
d. 15 ft
Mathematics
2 answers:
Murljashka [212]3 years ago
5 0
It’s option c, 24ft.
Sedaia [141]3 years ago
3 0

Answer:

24ft

Step-by-step explanation:

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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
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Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
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