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DaniilM [7]
3 years ago
8

Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta

una sombra de 2,25 metros.
Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura

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URGENT WILL GIVE YOU 100 POINTS PLEASE ANSWER CORRECTLY
wariber [46]

Answer:

1. x = 18.4

2. x = -1.25

3. x = \frac{5}{12}

4. x = 12.3

5. x = 6.4

6. z = 5.8

7. x = \frac{1}{12}

8. x = -\frac{1}{4}

9. x = \frac{1}{3}

10. x = -9

11. z = 18

12. x = 7

13. x = -9

14. x = -36

15. x = -7

16. x = 8

17. z = -1.5

18. x = -\frac{45}{7}

19. x = 16

20. x = -12

21. x = \frac{8}{3}

22. x = -1.6

23. x = 1.8

24. x = -8.2

Step-by-step explanation:

1. x - 3.5 = 14.9 (add 3.5 to each side)

x = 18.4

2. x + 2.25 = 1 (subtract 2.25 from each side)

x = -1.25

3. -\frac{1}{3} = x - \frac{3}{4} (add \frac{3}{4} to each side)

\frac{3}{4} - \frac{1}{3}  = x (multiply \frac{3}{4} by \frac{3}{3} and \frac{1}{3} by \frac{4}{4} to get a common denominator)

\frac{9}{12} - \frac{4}{12} = x

\frac{5}{12} = x

4. x - 2.8 = 9.5 (add 2.8 to each side)

x = 12.3

5. x - 8.5 = -2.1 (add 8.5 to each side)

x = 6.4

6. z - 9.4 = -3.6 (add 9.4 to each side)

z = 5.8

7. x + \frac{5}{6} = \frac{11}{12} (subtract \frac{5}{6} from each side)

x = \frac{11}{12} - \frac{5}{6} (multiply \frac{5}{6} by \frac{2}{2} to get a common denominator)

x = \frac{11}{12} - \frac{10}{12}

x = \frac{1}{12}

8. -\frac{5}{6} + x = -\frac{13}{12} (add \frac{5}{6} to each side)

x = \frac{5}{6} - \frac{13}{12} (multiply \frac{5}{6} by \frac{2}{2} to get a common denominator)

x = \frac{10}{12} - \frac{13}{12}

x = -\frac{3}{12} = -\frac{1}{4}

9. x - \frac{1}{9} = \frac{5}{18} (add \frac{1}{9} to each side)

x = \frac{1}{9} + \frac{5}{18} (multiply \frac{1}{9} by \frac{2}{2} to get a common denominator)

x = \frac{2}{18} + \frac{5}{18}

x = \frac{6}{18} = \frac{3}{9} = \frac{1}{3}

10. x + 6 = -3 (subtract 6 from each side)

x = -9

11. z - 7 = 11 (add 7 to each side)

z = 18

12. -1 = x - 8 (add 8 to each side)

7 = x

13. -4x = 36 (divide each side by -4)

x = -9

14. -\frac{x}{3} = 12 (multiply each side by -3)

x = -36

15. 63 = -9x (divide each side by -9)

-7 = x

16. 6.4 = 0.8x (divide each side by 0.8)

8 = x

17. -2.8z = 4.2 (divide each side by -2.8)

z = -1.5

18. -\frac{7}{9}x = 5 (divide each side by -\frac{7}{9})

x = \frac{5}{1} ÷ -\frac{7}{9}

x = \frac{5}{1} (times) -\frac{9}{7}

x = -\frac{45}{7}

19. \frac{1}{2}x = 8 (divide each side by \frac{1}{2})

x = 16

20. -\frac{3}{4}x = 9 (divide each side by -\frac{3}{4})

x = -12

21. -\frac{7}{8}x = -\frac{21}{64} (divide each side by -\frac{7}{8})

x = -\frac{7}{8} ÷ -\frac{21}{64}

x = -\frac{7}{8} (times) -\frac{64}{21}

x = \frac{448}{168} = \frac{56}{21} = \frac{8}{3}

22. 1.6x = -3.2 (divide each side by 1.6)

x = -1.6

23. -\frac{1}{2} = -\frac{5}{18}x (divide each side by -\frac{5}{18})

1.8 = x

24. -2.5x = 20.5 (divide each side by -2.5)

x = -8.2

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2 years ago
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Can anyone help me? My teacher just recently taught me this today, be he never explained much. The question is in the photo
IceJOKER [234]

You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing:  Taking two points and finding the slope of the line that goes through them.

In every case, the procedure is the same.
If the two points are  (x₁ , y₁)  and  (x₂ , y₂) , then
the slope of the line that goes through them is

                          Slope  =  (y₂ - y₁) / (x₂ - x₁) .

This is important, and you should memorize it.

#1).  (8, 10)  and  (-7, 14)

         Slope  =  (14 - 10) / (-7 - 8)  =  4 / -15

#2).  (-3, 1)  and  (-17, 2)

         Slope  =  (2 - 1) / (-17 -  -3)  =  (2 - 1) / (-17 + 3)  =  1 / -14

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         Slope  =  [ -10 - (-4) ] / [ -12 - (-20) ]

=========================================

The word problem:

This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?

A "proportional relationship" always passes through the origin,
so another point on the line is  (0, 0) .

Now you have two points on THAT line too, and you can easily
find its slope.

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kirill [66]

Answer:

x^3 -9x^2 +14x +24

Step-by-step explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

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-------------------------------

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4 0
3 years ago
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