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Darya [45]
3 years ago
13

An English teacher needs to pick 13 books to put on her reading list for the next school year, and she needs to plan the order i

n which they should be read. She has narrowed down her choices to 5 novels, 7 plays, 7 poetry books, and 5 nonfiction books. Step 1 of 2 : If she wants to include no more than 2 nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

YoUvE GoT HaKeD

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area
Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

3:2

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle

If we define:

C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2

Then, the ratio of the circumference of two circles is 3:2 is:

\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}

The area of a circle is given by:

A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius

So the ratio of their area can be found as:

\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2

So:

\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0
3 years ago
there are 3 seniors for every 2 juniors in the concert choir. if there are 21 seniors in all, how many jurors are in the concert
Oxana [17]

The ratio ...

... seniors : juniors = 3 : 2

can be multiplied by 7 to get

... = 21 : 14

indicating there are 14 juniors for the 21 seniors in the choir.

3 0
3 years ago
Find x<br><br> plz help!!!!!!!!
kompoz [17]
<span>'x' can be anything.  There's no information here to say that it must be
one thing or another. You can't find 'x', because there is no equation.

You can probably simplify the fraction by doing some factoring, but there's
no way to tell a value for 'x'.  As long as 'x' is not -4, it can be anything, and
its value determines the value of the fraction.</span>
7 0
4 years ago
Read 2 more answers
Find each missing measure.
Anni [7]

Answer:

m∠E= 37°

m∠F=37°

Step-by-step explanation:

Total angle value: 180°

180-106=74

The lengths are the same, so we can determine that the angles E and F are the same. So we divide 74 by 2

74/2= 37

m∠E= 37°

m∠F=37°

Hope this helps! Have a nice day :)

7 0
3 years ago
Identify the polygon using as many names as possible
ollegr [7]
A to line b
b to line c
c to line d
d to line e 
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6 0
3 years ago
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