3 years ago

Which equation should you solve to find x?

Mathematics

2 answers:

Studentka2010 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{10}$ → C

Note

sin24° = $\frac{opposite}{hypotenuse}$ = $\frac{4}{10}$ ( which does not include x )

tan24° = $\frac{opposite}{adjacent}$ = $\frac{4}{x}$ ≠ $\frac{x}{4}$

loris [4]3 years ago

4 0

C. Cos( 24 ) = x / 10

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In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? & W

Vladimir79 [104]

Answer:

20160 ways

Probability = 0.0556

Step-by-step explanation:

We have 9 different letters, so the total number of words we can make is:

$Total = 9! = 362880\ words$

If we want just the words that begin with L and end with a vowel, we would have the first letter "locked", so we have 8 letters remaining, and it must end with a vowel, so the last "slot" has just 4 possible values (A, E, I or O). Then we would have 4 possible values for the last letter and 7 remaining letters in the middle of the word:

$N = 4 * 7! = 4*7*6*5*4*3*2 = 20160\ words$