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lisabon 2012 [21]

3 years ago

13

A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II u

nless Chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed?

1 answer:

yawa3891 [41]3 years ago

8 0

A listing of all the books, periodicals, and other resources owned by a library idk

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Explain why the exponents cannot be added in the product 12^3 * 11^3

jek_recluse [69]

Because they do not have like bases.

4 0

2 years ago

Use the inverse cosine to find the measure of angle Q.

Rom4ik [11]

Answer:

∠ Q ≈ 53.1°

Step-by-step explanation:

cos Q = $\frac{adjacent}{hypotenuse}$ = $\frac{QS}{QR}$ = $\frac{6}{10}$ , then

∠ Q = $cos^{-1}$ ( $\frac{6}{10}$ ) ≈ 53.1° ( to the nearest tenth )

4 0

2 years ago

There are 26 prize tickets in a bowl,labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen,not

labwork [276]

Answer:

3.1%, dependent event

Step-by-step explanation:

We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:

5/26

since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:

4/25

Therefore the final probability is:

5/26 * (4/25) = 0.031

In other words, selecting a vowel and then another (without replacement) the probability is 3.1%

The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.

5 0

3 years ago

Which theorem or postulate proves that △ABC and △DEF are similar?

yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

$\frac{ED}{AB}= \frac{7}{21}$

$\frac{ED}{AB}= \frac{1}{3}$

and

$\frac{EF}{BC}= \frac{11}{33}$

$\frac{EF}{BC}= \frac{1}{3}$

Thus

$\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}$

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0

2 years ago

Read 2 more answers

Simplify<br> Please thanks

solmaris [256]

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

8 0

3 years ago