Answer:
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
Step-by-step explanation:
The order in which the swimmers are ranked is important. That is, A, B and C is a different finish than C, B and A. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
3 prizes for 12 swimmers. So
The prizes can be given in 1320 ways.
Los premios se pueden otorgar en 1320 maneras.
Three stands for a solid 3
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six tenths = 0.6
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add
3 + 0.6 = 3.6
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3.6 is your answer
1) Swim Practice \> Laps, 2) Miles < Kevin Ran, 3) Occupancy < People
The answer is 12. 3 can go into 12 4 times
Answer:
Option b. 
Step-by-step explanation:
step 1
In the right triangle ABC
<em>Find the sine of angle CAB</em>
---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)
substitute
simplify
---->equation A
step 2
In the right triangle BDC
<em>Find the sine of angle CBD</em>
---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)
substitute
----> equation B
step 3
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and BDC are similar by AA Similarity Theorem
therefore
m∠CBD≅m∠CAB
equate equation A and equation B
solve for DC
step 4
Find the value of AD
substitute the values
