2/7 of length of stick a is equal to 1/2 of the length of stick b. stick a is 3/8 m more then stick b what is the length of stick b?
1. 2/7 of length of stick a is equal to 1/2 of the length of stick b. stick a is 3/8 m more then stick b what is the length of stick b?
Jawab:
b = 0,5 m
Penjelasan dengan langkah-langkah:
Tongkat a. misalkan disebut [tex]a[/tex]
Tongkat a. misalkan disebut [tex]b[/tex]
Kaiimat matematika yang dapat dibentuk dari soal tersebut adalah
[tex]\frac{2}{7} a = \frac{1}{2}b[/tex] - - - - - - - Persamaan 1)
[tex]a = b + \frac{3}{8}[/tex] - - - - - - Persamaan 2)
Jika Persamaan 2) disubstitusi ke persamaan 1), didapat
[tex]\frac{2}{7} a = \frac{1}{2}b[/tex]
⇔ [tex]\frac{2}{7} (b + \frac{3}{8}) = \frac{1}{2}b[/tex]
⇔ [tex]\frac{2}{7} b + \frac{2}{7} \frac{3}{8} = \frac{1}{2}b[/tex]
⇔ [tex]\frac{4}{14} b -\frac{7}{14}b = - \frac{6}{56}[/tex]
⇔ [tex]-\frac{3}{14} b = - \frac{6}{56}[/tex]
⇔ [tex]b = - \frac{6}{56}[/tex] × [tex](- \frac{14}{3})[/tex]
⇔ [tex]b = \frac{84}{168}[/tex]
⇔ [tex]b = \frac{1}{2} m[/tex]
Jadi panjang tongkat b = 0,5 m
2. A cuboid has a volume of 7200cm3,square and a length of 32cm.Gind the length of the square face
Jawaban:
Remember the surface area is the total area of all the faces of a 3D shape.
The lateral surface area of a cuboid is given by:
LSA = 2 (lh + wh) = 2 h (l + w)
Example 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm.
TSA = 2 (lw + wh + hl)
TSA = 2 (8*6 + 6*5 + 5*8)
TSA = 2 (48 + 30 + 40)
TSA = 236
So, the total surface area of this cuboid is 236 cm2.
Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm and 7.2 cm.
Solution:
Area of Face 1: 4.8 × 7.2 = 34.56 cm²
Area of Face 2: 3.4 × 7.2 = 24.48 cm²
Area of Face 3: 4.8 × 3.4 = 16.32 cm²
Adding the area of these 3 faces gives 75.36 cm², since each face is duplicated on the opposite side, the total surface area of the cuboid will be:
TSA = 2 (75.36) = 150.72 cm²
Example 3: The length, width and height of a cuboid are 10cm, 8cm and 7cm respectively. Find the lateral surface area of a cuboid.
Solution:
Lateral surface area of cuboid is given by:
LSA = 2h(l+w)
where,
l = length = 10 cm
w = width = 8 cm
h = height = 7 cm
Insert these values into the formula we will get:
LSA = 2 ×7(10 + 8)
LSA = 14 × 18
LSA = 252 cm2
Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and 10cm respectively. Find the total surface area of the cuboid.
Solution:
The total surface area of a cuboid is given by:
TSA = 2 (l*b + b*h + h*l)
Given that:
l = 16cm
b = 14cm
h = 10cm
Substituting the values in the equation we will get
TSA = 2 (16*4 + 14*10 + 10*16)
TSA = 2(224 + 140 + 160)
TSA = 2 * 524
TSA = 1048 cm2
Example 5: Given a cereal box whose length is 20 cm, height is 30 cm and width is 8 cm. Find the surface area of the box.
Solution:
To find the surface are of the box we need to find the area of each rectangular face and add them all up.
The area of the front face is: 20 x 30 = 600 cm2.
The area of the top face is: 20 x 8 = 160 cm2.
The area of the side face is: 8 x 30 = 240 cm2.
Now add these values together we will get: 600 + 160 + 240 = 1000 cm2.
And the total surface area is therefore 1000 x 2 = 2000 cm2.
Example 6: Find the surface area of a cuboid whose sides are 3cm by 6cm by 10cm.
Solution:
Surface area of the cuboid is given by:
TSA = 2 (16*4 + 14*10 + 10*16)
TSA = 2(3 x 6 + 6 x 10 + 3 x 10)
TSA = 2(18 + 60 + 30)
TSA = 216 cm2
3. A rectangular has a diagonal length of 15 cm and a length OF 7cm find the width of the rectangular.
Jawaban:
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4. 10. A metal Exercise 1.3 Rewrite the sentences by putting in either is, are, has, or have 1. A hexagonal a figure which has six straight sides. 2. The Dead Sea a high salt content. 3. There several types of pump. 4. Most kinds of stainless steel a small percentage of chrome. 5. Stainless steel property of resisting corrosion. 6. Modern bridges often several kilometers long. 7. A modern bridge sometimes a length of several kilometers. 8. Isosceles triangles two equal angles. 9. The total population of the world about 3,500 million. 10. A hexagon a plane figure with six sides.
Jawaban:
1. A hexagonal is a figure which has six straight sides.
2. The Dead Sea jas a high salt content.
3. There are several types of pump.
4. Most kinds of stainless steel have a small percentage of chrome.
5. Stainless steel is property of resisting corrosion.
6. Modern bridges are often several kilometers long.
7. A modern bridge is sometimes a length of several kilometers.
8. Isosceles triangles is two equal angles.
9. The total population of the world is about 3,500 million.
10. A hexagon is a plane figure with six sides.
5. Ahmad has 3 kinds of bamboo sticks which have 6 m, 9 m and 12 m in length. If he wants to cut the bamboo sticks into the equal length, then how many pieces of the bamboo sticks will he get?
Penjelasan dengan langkah-langkah:
find the HCF of 6, 9, and 12
6 = 2 x3
9 = 3²
12 = 2²x3.
then the HCF = 3
the bamboo sticks are = 6+9+12/3 = 9 sticks
6. A floor tile in the shape of a rhombus has sides of length 52 cm and a diagonal of length 48 cm. find the length of the other diagonal.
Jawaban:
speak indonesian please...
Penjelasan dengan langkah-langkah:
indonesian speak
7. Sandy cuts a balls of string into 12 equal pieces. the length of each piece of string is 15 1/4. what is the total length of the string? Tolong bantu ☹
Jawaban:
[tex]15 \frac{1}{4} \times 12 \\ = \frac{61}{4} \times 12 \\ = 61 \times 3 \\ = 183[/tex]
semoga membantu & maaf kalau salah☹️
8. A rectangle has side of length 6cm and7cm find the length of the diagonal to the nearest mm
i dont now you amerika me indonesia
9. A TV screen has a length : height of 4:3. If it’s length is 38 cm, what is it’s height?
Jawaban:
28, 5 cm
Penjelasan dengan langkah-langkah:
4 : 3
4x = 38
x = 38 : 4
x = 9,5
maka 3x = 3 (9,5)
= 28,5 cm
10. the area of a rectangle is equal to the area of a square whose sides have length 8 cm. if the width of the rectangle = 4cm , then find the length of the rectangle
Jawaban:
40 cm
Penjelasan dengan langkah-langkah:
sides have length 8 cm : panjang sisi 8 cm
width rectangle = 4 cm : lebar persegi panjang itu 4 cm
L = p × l ➡️ Bahasa Indonesia
l × w = l × l
l × 4 = 8 × 8
4l = 64
l = 64/4
l = 16 cm
Find the length : 2(l + w)
= 2(16 + 4)
= 2(20)
= 40 cm
11. the area of a rectangle is equal to the area of a square whose sides have length 8 cm. if the width of the rectangle = 4cm , then find the length of the rectangle
square = s.s
rectangle = w.l
s.s = w.l
8.8 = w.4
64 = w.4
64/4 = w
w = 16 cm
12. 4/5 of the length of ribbon A is equal to 1/3 of the length of ribbon B. Ribbon B is 7/8 m longer than ribbon A. Find the total length of the two ribbons in its simplest form.
Jawab:Interpret a fraction as division of the numerator by the denominator (a/b ... such as “What is the total length of the five longest pencils in our class?
573 halaman
Penjelasan dengan langkah-langkah:maaf jika salah
13. A reversible refrigerator has a coefficient of performance equal to 10.0. What is its efficiency?
more energy efficient
14. A square field has a perimeter of 40 m find the length of one side of the field
Jawaban:
10 m
Penjelasan dengan langkah-langkah:
perimeter of a square :
Perimeter = 4 × length of side
length of side = 40/4 = 10 m
15. bantu lahh plisss 1. Manakah dari pernyataan berikut yang tepat untuk layang-layang?A. Each interior angle measures 60 degrees (Setiap sudut dalam besarnya 60 derajat)B. Opposite sides have equal length (Sisi berseberangan memiliki panjang yang sama)C. Four sides of equal length (Memiliki 4 sisi yang panjangnya sama)D. The shape has an axis of symmetry (Bangun datar yang memiliki sebuah sumbu simetri)2. soal lihat di gambar
Jawab:
x = 112
Penjelasan dengan langkah-langkah:
16. 105 +118 + 75 + 130 + x = 540
428 + x = 540
x = 540 - 428
x = 112
semoga membantu ^^
Jawaban:
1.D.The shape has an axis of symmetry (Bangun datar yang memiliki sebuah sumbu simetri)
2.D.112degress
Penjelasan dengan langkah-langkah:
1.Sumbu simetri adalah garis khayal yang membelah suatu bangun datar menjadi dua bagian sama luas. Layang-layang memiliki satu sumbu simetri.
2.Totalderajatnyaadalah540°
sedangkanjumlahnyabaru428°
Berarti540°-428°=112°
JadiX=112°
Maafkalausalah...Semogabermanfaatヾ(＾-＾)ノJadikanjawabanterbaikyaa16. A block has a length of 2√3 cm, a width of 3√2 cm, and a height of 1√3 cm. Then the length of the diagonal is .... *
Jawaban:
√33 cm
Penjelasan dengan langkah-langkah:
Length = Panjang
Width = Lebar
Height = Tinggi
Panjang diagonal ruangnya
= √(2√3)² + (3√2)² + (1√3)²
= √12 + 18 + 3
= √33 cm ✔
Keterangan:
Materi = Bangun Ruang Sisi Datar
17. A cuboid has a volume of 7200 cm³, a square face and a length of 32 cm. Find the length of the side of the square face.
Jawaban:
The length of the side of the square face
= ✓7200 : 32
= √225
= 15 cm
18. a photo grahp of money has a length of 9cm and a width of 4,1cm. if the width of the money is 6,5cm find it's is length
14,26 cm. Semoga membantu
19. a cube has side length 12 cm. determine the volume of cube
Jawab:
1728 cm ^3
Penjelasan dengan langkah-langkah:
volume = sisi pangkat 3
12^3 = 1728
20. a rhombus has sides of length 6 centimeter one of its diagonal is 10 centimeter of find the length of the other diagonal
Jawab:
belah ketupat memiliki sisi panjang 6 sentimeter salah satu diagonal adalah 10 sentimeter menemukan panjang diagonal lainnya.
Penjelasan dengan langkah-langkah:
6+6+6+6=24
d2 = 2 × L ÷ d1
2 x 24 ÷ 10= 4,8 atau 24/5
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