In the picture given below, can see a rectangular in ground swimming pool installed by a family in their backyard. there is a concrete sidewalk around the pool of with X metre. the outside edges of the side of measure 7 m and 12 m. the area of the pool is 36 square metre.a) based on the information given above, form a quadratic equation in term of x.b) find the width of the side walk around the pool.(see attachment for image)​

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Answers 2

Answer:

(a)

[tex]2 {x}^{2} - 19x + 24 = 0[/tex]

(b)

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

Refer to the attachment↑↑

answer img

Answer: dimensions of pool are 4m and 9m.

Step-by-step explanation:

  • Given,the width of the path is x m.
  • And the outside edges of pool ,easures 7m and 12m.
  • So,the dimensions of pool will decrease by 2x i.e., x from each side.
  • Dimensions of pool= (7-2x)m and (12-2x)m
  • Given,area of pool= 36 sq.m
  • Now,according to question

       (7-2x)×(12-2x)=36

    ⇒7(12-2x)-2x(12-2x)=36

    ⇒84-14x-24x+4=36

    ⇒4-38x+84-36=0

    ⇒4-38x+48=0

    ⇒2(2-19x+24)=0

    ⇒(2-19x+24)=0

    ⇒2-16x-3x+24=0

    ⇒2x(x-8)-3(x-8)=0

    ⇒(2x-3)(x-8)=0

    ⇒If 2x-3=0 then x=  and if x-8=0 then x=8(not possible)

     ∴ x=1.5m

  • (7-2x)=(7-2*1.5)=(7-3)=4m and (12-2x)=(12-3)=9m
  • So, the dimensions of pool are (7-2x)m and (12-2x)m i.e.,4m and 9m.

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Find the sum of the first twelve 2-digit numbers which are multiples of 6.​

Answer:

12, 18 , ......78

take an =

get n = 12

then find S12 to get it as 540

answer img

Answer: Sum of first 12 2 digit numbers which are multiple of 6 is 540.

Step-by-step explanation:

Given series : 12, 18, 24, 30, 36, .....

This is an Arithmetic Progression.

[tex]a_{1} = 12[/tex]

common difference = 6

∴ [tex]S_{12} = \frac{n}{2} (2*a_{1} + (n - 1) * d)[/tex]

         = [tex]\frac{12}{2} (2*12 + (12 - 1) * 6)[/tex]

         = 540

In the picture given below, can see a rectangular in ground swimming pool installed by a family in their backyard. there is a concrete sidewalk around the pool of with X metre. the outside edges of the side of measure 7 m and 12 m. the area of the pool is 36 square metre​

Answer:

Refer to the attachment↑

Hope it helps...

answer img
If the median of the following data is 33 then, find the value of m Class Frequency 0-15 17 15-30 35 30-45 40 45-60 18 60-75 m 75-90 2​

Answer:Is it correct

Step-by-step explanation:

answer img
answer img

Step-by-step explanation:

Median = l + [ (n/2 - c)/f ] × h

here, l = lower class

         n = total number of observation

         c = cumulative frequency

          f = frequency

         h = class size

 Class interval       Frequency        Cumulative Frequency

      0-15                         17                                17

      15-30                      35                               52

      30-45                      40                              92

      45-60                      18                               110

       60-75                      m                               110+m

       75-90                       2                               112+m

    33 = 30 + [ (112 + m)/2 - 52 ]/40 × 15

    3 =  (112 + m - 104)/80 × 15

    1/5 = (8 + m)/80

     16 = 8 + m

     m = 8

   

13. In the picture given below, one can see a rectangular in-ground swimming pool installed by a family in their backyard. There is a concrete sidewalk around the pool of width x m. The outside edges of the sidewalk measure 7 m and 12 m. The area of the pool is 36 sq. m. (a) Based on the information given above, form a quadratic equation in terms of x.b) Find the width of the sidewalk around the pool. ​

Answer:

(a)

[tex]2 {x}^{2} + 19x + 24 = 0[/tex]

(b)

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

Refer to the attachment↑↑

Hope it helps...

answer img

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