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a_sh-v [17]
3 years ago
7

Please help me AAAAAA

Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

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Vertical Asymptotes:   x=-1,0

Horizontal Asymptotes:   y=0

No Oblique Asymptotes

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3 years ago
This graph shows a proportional relationship.<br> What is the constant of proportionality?
Vlad1618 [11]

Answer:

3/4

Step-by-step explanation:

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4 0
2 years ago
A small theater sold 72 tickets for a
Mariulka [41]

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult  tickets to senior tickets = 4:3

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The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

4 0
3 years ago
Help me pls and show me how u did it their is no graph so how would I do this algebraically
Ahat [919]
Subtract 4<span> from both sides 

</span><span><span>y−4>−2x</span>
<span>Divide both sides by -2 
</span>
x>-y-4/2 
 
  Question 2 -         y>x-4 

Add 4 to both sides

<span><span>y+4>x

Switch sides
</span>
<span><span>x<y+4</span><span>
</span></span></span>
</span>
8 0
3 years ago
Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his
Fudgin [204]

Answer:

a

  The point estimate of the population mean is  \= x  =  56

b

  The 80% confidence level is  50.57 <  \mu  < 61.43

c

  There is  80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  18

   The  standard deviation is  \sigma  =  18 \ L

   The  sample mean is  \= x  =  56

Generally the point estimate of the population mean is equivalent to the sample mean whose value is  \= x  =  56

Given that the confidence interval is 80% then the level of significance is mathematically represented as

      \alpha  =  100 -  80

      \alpha =  20 \%

      \alpha = 0.20

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table

 The  value is   Z_{\frac{ \alpha }{2} } =  1.28

 Generally the margin of error is mathematically evaluated as

          E =  Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }

=>       E =  1.28 * \frac{18 }{\sqrt{18} }

=>       E =  5.43

     Generally the 80% confidence interval is mathematically represented as

    \= x  - E  <  \mu  < \= x  + E

=>    56  - 5.43  <  \mu  < 56  + 5.43

=>   50.57 <  \mu  < 61.43

The  interpretation is that there is  80% confidence that the true population mean lies within the limit

3 0
3 years ago
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