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2 years ago

6

What is the side length of the image if the apothem is 8.3 feet and the area is

1 answer:

dimaraw [331]2 years ago

5 0

keeping in mind that regular polygon has 12 sides

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ans~~ \begin{cases} a=apothem\\ n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ A=214.14\\ a=8.3\\ n=12 \end{cases}\implies 214.14=\cfrac{1}{2}(8.3)(12)s \\\\\\ 214.14=49.8s\implies \cfrac{214.14}{49.8}=s\implies 4.3=s$

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When is factoring by grouping easier to use. How many terms must you have to have ?

Karo-lina-s [1.5K]

You must have 4 terms for factoring by grouping to be easier to use.

For example...
x^2 + 10x + 2x + 20
(x^2 + 10x) + (2x + 20)
x(x+10) + 2(x+10)
(x+2)(x+10)

The first line, the expression x^2+10x+2x+20, has four terms.

Note: Just because you have four terms doesn't automatically guarantee you can factor

3 0

3 years ago

What is yhe answer?????

myrzilka [38]

161%

Step-by-step explanation:

They are asking percentage so we know we going to ×100%

4943 AS A PERCENTAGE OF 3076

$\frac{4943}{3076} \times 100$

161%

8 0

3 years ago

40% of the 35 male guests wear glasses

AVprozaik [17]

14 males wear glasses

40*35= 1400
1400/100= 14

7 0

3 years ago

What is the greatest common factor of 12 and 16

Assoli18 [71]

Answer:

4

Step-by-step explanation:

12 can be dived into 4 a total of 3 times. 16 can be divided into 4 a total of 4 times

5 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago