Khoirul I

21 Oktober 2024 20:26

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Khoirul I

21 Oktober 2024 20:26

Pertanyaan

Hasil perkalian dari 3 pangkat 2 × 5 pangkat 2= Tentukan nilai R dari persamaan berikut: a. 27=3R b. 20 - R = 2R + R c. 3(R + 5)= 2R + 2 Diketahui harga 5 Kg apel dan 3 Kg jeruk Rp. 79.000,00. Sedangkan harga 3 Kg apel dan 2 Kg jeruk Rp. 49.000,00. a. Harga 1 Kg apel adalah... b. Harga 1 Kg jeruk adalah... Jika kalian akan membuat dua buah bangun tabung dengan diamete 14 cm dan tinggi 10 cm dari sebuah kertas. a. Berapakah luas kertas yang kalian butuhkan untuk membuat dua buah bangun tabung tersebut? b. Berapakah volume setiap tabung tersebut?

 Hasil perkalian dari 3 pangkat 2 × 5 pangkat 2=

 

Tentukan nilai R dari persamaan berikut:

a. 27=3R

b. 20 - R = 2R + R

c. 3(R + 5)= 2R + 2

 

Diketahui harga 5 Kg apel dan 3 Kg jeruk Rp. 79.000,00. Sedangkan harga 3 Kg apel dan 2 Kg jeruk Rp. 49.000,00.

a. Harga 1 Kg apel adalah...

b. Harga 1 Kg jeruk adalah...

 

Jika kalian akan membuat dua buah bangun tabung dengan diamete 14 cm dan tinggi 10 cm dari sebuah kertas.

a. Berapakah luas kertas yang kalian butuhkan untuk membuat dua buah bangun tabung tersebut?

b. Berapakah volume setiap tabung tersebut? 

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Jawaban terverifikasi

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Ditta J

Level 31

22 Oktober 2024 11:34

Jawaban terverifikasi

<p>3²×5²</p><p>=(3×3) ×(5×5)&nbsp;</p><p>=9×25</p><p>=225</p>

3²×5²

=(3×3) ×(5×5) 

=9×25

=225


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Sumber W

Community

Level 72

22 Oktober 2024 00:56

Jawaban terverifikasi

<p>1. 3<sup>2</sup> x 5<sup>2</sup> = (3 x 5)<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 15<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 225</p><p>&nbsp;</p><p>2. &nbsp;Menentukan nilai R</p><p>&nbsp; &nbsp; &nbsp; a. 27 = 3R</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;R = 27/3</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;R = 9</p><p>&nbsp; &nbsp; &nbsp;b. 20 - R = 2R + R</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 20 = 2R + R + R</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 20 = 4R</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; R = 20/4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; R = 5</p><p>&nbsp; &nbsp; &nbsp;c. 3(R + 5) = 2R + 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3R + 15 = 2R + 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3R - 2R = 2 - 15</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;R = -13</p><p>&nbsp;</p><p>3. Misalkan x = apel dan y = jeruk maka</p><p>&nbsp; &nbsp; &nbsp;5x + 3y = 79.000 &nbsp; &nbsp; &nbsp; (1)</p><p>&nbsp; &nbsp; &nbsp;3x + 2y = 49.000 &nbsp; &nbsp; &nbsp; (2)</p><p>&nbsp; &nbsp; &nbsp;a. <strong>Mencari harga 1 kg apel</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Eliminasi variabel y untuk mendapatkan nilai x&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;5x + 3y = 79.000 &nbsp;(dikali 2) --&gt; 10x + 6y = 158.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;3x + 2y = 49.000 &nbsp;(dikali 3) --&gt; &nbsp;&nbsp;<u>9x &nbsp;+ 6y = 147.000</u> _</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Jadi harga 1 kg apel adalah <strong>Rp. 11.000,00</strong></p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; b. <strong>Mencari harga 1 kg jeruk</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Substitusikan x = 11.000 ke persamaan (2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3x + 2y = 49.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3(11.000) + 2y = 49.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 33.000 + 2y = 49.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2y = 49.000 - 33.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2y = 16.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = 16.000/2</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y = 8.000</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Jadi, harga 1 kg jeruk adalah <strong>Rp. 8.000,00</strong></p><p>&nbsp;</p><p>4. Diketahui :</p><p>&nbsp; &nbsp; &nbsp;d = 14 cm dan t = 10 cm</p><p>&nbsp; &nbsp; &nbsp;r = 7 cm&nbsp;</p><p>&nbsp; &nbsp; &nbsp;a. <strong>Mencari luas kertas</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Luas = 2𝞹r(r + t)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2(22/7)(7)(7 + 10)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 44 x 17</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 748 cm<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Untuk membuat 2 bangun tabung</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;L = 2 x luas</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2 x 748 cm<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1.496 cm<sup>2</sup></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Jadi luas kertas yang dibutuhkan adalah <strong>1.496 cm<sup>2</sup></strong></p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp;b. <strong>Mencari volume tabung (V)</strong></p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;V = 𝞹 x r x r x t</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 22/7 x 7 x 7 x 10</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1.540 cm<sup>3</sup>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Volume 2 buah tabung</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;V = 2 x 1.540</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 3.080 cm<sup>3</sup>&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; Jadi, volume 2 buah tabung adalah <strong>3.080 cm<sup>3</sup>&nbsp;</strong></p>

1. 32 x 52 = (3 x 5)2

                   = 152

                   = 225

 

2.  Menentukan nilai R

      a. 27 = 3R

           R = 27/3

           R = 9

     b. 20 - R = 2R + R

          20 = 2R + R + R

          20 = 4R

          R = 20/4

          R = 5

     c. 3(R + 5) = 2R + 2

          3R + 15 = 2R + 2

          3R - 2R = 2 - 15

           R = -13

 

3. Misalkan x = apel dan y = jeruk maka

     5x + 3y = 79.000       (1)

     3x + 2y = 49.000       (2)

     a. Mencari harga 1 kg apel

         Eliminasi variabel y untuk mendapatkan nilai x 

         5x + 3y = 79.000  (dikali 2) --> 10x + 6y = 158.000

         3x + 2y = 49.000  (dikali 3) -->   9x  + 6y = 147.000 _

                                                                        x             = 11.000

          Jadi harga 1 kg apel adalah Rp. 11.000,00

 

      b. Mencari harga 1 kg jeruk

            Substitusikan x = 11.000 ke persamaan (2)

            3x + 2y = 49.000

            3(11.000) + 2y = 49.000

            33.000 + 2y = 49.000

            2y = 49.000 - 33.000

            2y = 16.000

             y = 16.000/2

             y = 8.000

             Jadi, harga 1 kg jeruk adalah Rp. 8.000,00

 

4. Diketahui :

     d = 14 cm dan t = 10 cm

     r = 7 cm 

     a. Mencari luas kertas

          Luas = 2𝞹r(r + t)

                     = 2(22/7)(7)(7 + 10)

                     = 44 x 17

                     = 748 cm2

          Untuk membuat 2 bangun tabung

           L = 2 x luas

               = 2 x 748 cm2

               = 1.496 cm2

         Jadi luas kertas yang dibutuhkan adalah 1.496 cm2

 

     b. Mencari volume tabung (V)

           V = 𝞹 x r x r x t

               = 22/7 x 7 x 7 x 10

               = 1.540 cm3 

          Volume 2 buah tabung

           V = 2 x 1.540

               = 3.080 cm3 

        Jadi, volume 2 buah tabung adalah 3.080 cm3 


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