2 years ago

Can you help me? I don’t understand this question at all. It would really help.

Mathematics

1 answer:

stiks02 [169]2 years ago

7 0

Answer:

Step-by-step explanation:

Given they are similar, take the sides of the triangles in proportion.

AB/DE = AC/DF
8/5 = AC/6
AC = 1.6 x 6
AC = <u>9.6 ft.</u>

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A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose $k=3$ numbers out of $n=17$ possible numbers and find the total amount of combinations since order does not matter:

$\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680$