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Locate The Centroid Of The Plane Area Shown

Posted by Serambi Pengetahuan on Selasa, 09 Mei 2023


Locate The Centroid Of The Plane Area Shown

What is the area of the triangle shown below

Daftar Isi

1. What is the area of the triangle shown below


a = 5

b = 5

c = 8

Keliling

= a + b + c

= 5 + 5 + 8

= 18

s = 1/2 x keliling

s = 1/2 x 18

s = 9

Luas

= √(s(s - a)(s - b)(s - c))

= √(9(9 - 5)(9 - 5)(9 - 8))

= √(9 x 4 x 4 x 1)

= √144

= 12 satuan luas


2. what is the area of the rectangle shown below? ​


Jawab:

Penjelasan dengan langkah-langkah:

The area= luas yaa

okee berarti sangat gampang kpk!

Luas persegi panjang= lebar x panjang

maka panjang= 5 3/4 =23/4 cm dan lebar=3 cm

L= pxl

= 23/4 x 3

=69/4

=17 1/4 cm atau 17,25 cm


3. What is the area of the right triangle shown below


ANSWER:

60.

Penjelasanya :

(theorema phytagoras) a=[tex]\sqrt{b^{2} -c^{2} }[/tex]

a= 17[tex]\sqrt{17^{2}-8^{2} } = \sqrt{289-64}[/tex]

a=[tex]\sqrt{225} =[/tex]15

(the area of the right triangle) :

1/2 x a x h

1/2 x 8 x 15

= 60

ur welcome:)


4. A square is divided into 3 parts A, B and C as shown below. The ratio of the area of A to the area of B to the area of C is 5:3:7. Given that the area of A is 75 cm2, find the length of one side of the square.​


Penjelasan dengan langkah-langkah:

A : B : C

5 : 3 : 7

Actual A = 75 cm²

75 : 5 = 15

B = 3 x 15 = 45 cm²

C = 7 x 15 = 105 cm²


5. The volume of prism shown is 720 mm. calculate the surface area of the prism ... mm²help me dikumpulkan jam 10​


Jawaban:

panjang prisma = 12mm

luas permukaan = 516 mm²(saya gk tahu luas permukaan saya hitung hasilnya 186 mm²,tapi disitus(digambar kanan hasilnya 516)

Penjelasan dengan langkah-langkah:

Volume prisma = Bh

B = luas alas

h = tinggi

B = 1/2 (alas1 + alas2) x tinggi

B = 1/2 (9 + 6) x 8

B = 1/2 (15) x 8

B = 4 x 15

B = 60

Volume = 720

720 = B xh

720 = 60 xh

h = 12

Jadi tinggi atau panjangnya adalah 12mm.

Luas Permukaan = 2B + 2P

Dimana

B adalah luas alas

P adalah keliling alas

Kita telah mengetahui bahwa B = 60

P = 9 + 10 + 6 + 8

P = 33

Jadi

SA = 2 * 60 + 2 * 33

SA = 120 + 66

SA = 186

Luas permukaan sama dengan 186mm ^ 2.


6. arti dari about the departure of the plane


keberangkatan pesawat

tentang keberangkatan pesawat
maaf kalok salah

7. a tailor cut out a small rectangle from a big rectangular piece of cloth. The remaining cloth as shown below has an area of 22m². (a) Find the area of the original piece of cloth.(b) find the breadth of the original piece of cloth.​


Jawaban:

A TAILOR CUT OUT A SMALLER RECTANGLE FROM A BIG RECTANGULAR PIECE OF CLOTH. THE REMAINING CLOTH AS SHOWN BELOW HAS AN AREA OF 22M²

Jawab:
(a.) Area of the original piece = 30 m²
(b.) Breadth of the original piece = 5 m

Penjelasan dengan langkah-langkah:

Given that the area (colored dark) A₁ = 22 m²
Length of the original piece (L) = 6 m
length of the cut out piece (l) = 4 m
breadth of the cut out piece (b) = 2 m

(a.) Find the area before the cloth was cut
Let the used cloth be 'x'
x = l(b)
x = 4(2)
x = 8 m²
Therefore the area before the cloth was cut =
A₁ + x =
22 + 8
= 30 m²
Area of the original piece = 30 m²

(b.) Find the breadth of the original piece (B)
L(B) = 30
6B = 30
B = 30/6
B = 5 m
Breadth of the original piece = 5 m

( x c v i )


8. find the area of the shaded partarea of figure​


[tex] \frac{1}{4} \times \frac{22}{7} \times 14 \times 14 + 2 \times \frac{1}{2} \times \frac{22}{7} \times 7 \times 7 \\ \\ 154 + 154 \\ \\ 308 \: {cm}^{2} [/tex]


9. for the box shown, the total area is 94cm²​


Jawaban:

94 = 2((x + 2)3 + (x + 2)4 + 3(4))

94 = 2(3x + 6 + 4x + 8 + 12) → (:2)

47 = 3x + 6 + 4x + 8 + 12

47 = 7x + 26

-7x = 26 - 47

-7x = -21

x = 3

Check if 3 is the value of x

94 = 2((3 + 2)3 + (3 + 2)4 + 3(4))

94 = 2(15 + 20 + 12)

94 = 2(47)

94 = 94 ← True

The value of x is 3


10. the driver of the plane is.......


pilot

*semoga membantupilot

maaf klo salah. semoga membantu^^

11. A figure is made up of a rectangle and a semicircle as shown in the diagram below. what is the area of the figure?


Jawab:

Area itu bahasa inggris dari Luas, maka

Area of square = S x S

= 7 x 7

= 49 cm²

Radius = Diameter / 2

= 7 / 2

= 3.5 cm

Area of [tex]\frac{1}{2}[/tex] circle = [tex]\frac{1}{2}[/tex] x [tex]\pi[/tex] x r²

= [tex]\frac{1}{2}[/tex] x [tex]\frac{22}{7}[/tex] x 3.5²

= 19.25 cm²

Are of the figure = 49 + 19.25 = 68.25 cm²

Penjelasan:

phi [tex](\pi )[/tex] untuk [tex]\frac{22}{7}[/tex] digunakan apabila jari-jari/radius berkelipatan 7, sedangkan

phi untuk 3.14 digunakan apabila jari-jari/radius tidak berkelipatan 7


12. Rectangle A overlaps Square B as shown. The ratio of the area of Rectangle A to the shaded area to the area of Square B is 6:1:4 The area of Rectangle A is 36 cm2. Find the area of the whole figure.


Ratio of the area of Rectangle A =
6 units

6 units = 36 cm2
1 unit = 36 ÷ 6 = 6 cm2

Ratio of total area = 6 + 1 + 4 = 11 units

11 units = 11 x 6 = 66 cm2

The area of the whole figure is 66 cm2.

13. The expression of hope is shown by the sentence


Jawaban:

I hope i got 100 score in my test! Im so nervous!

Penjelasan:

smg membantu:) <3


14. Square a overlaps rectangular b as shown. The ratio of the unshaded area to the total area of square a and rectangular b before the overlaping is 17:23. Write down the ratio of the shaded area to the total area of square a and rectangle b before the overlaping. The side of square is 8, the sides are 12 and 10 cm


Jawaban:

saya tidak mengerti apakah anda mengerti


15. 12. Find the area of the shaded region, where O is the centre of the circle. 13. The cross section of a foot stool and its dimensions are shown in Fig. (a): (i) Find the area of the cross section of the stool. (ii) The manufacturer is considering changing the cross section of this stool to that shown in Fig. (b), where arc ABC is a semicircle. Calculate the percentage increase or decrease in the area of the cross section.​


Jawab:

Penjelasan dengan langkah-langkah:

ABCD = 1/2(15+13+12) x 24 = 480 cm²

EGDH = 13x16=208

COB= 1/2 x 1/4πD²

       = 1/2 x 1/4 x 22/7 x 15²

       = 88,4 cm²

Area of the shaded region :

= 480-208-88,4 = 183,6 cm²

A1 = 1/2(35+40) x 30 = 1125 cm²

A2 = 1/2(15+30) =337,5 cm²

A3 = 1/2 x 1/4πD²

     = 1/2 x 1/4 x 22/7 x 30²

     = 353,57 cm²

A3-A2 = 353,57 - 337,5 = 16,07  increase

Percentage of increase is 16,07/353,57 x 100% = 4,76%


16. A glass house is in the shape as shown in the figure . calculate total area of glass needed and calculate the volume of the glass house​


Jawab:

Total Luas seluruh bangunan = L prisma segitiga + L balok

                                                 = 248 m² + 292 m² = 540 m²

Total Volume seluruh bangunan = V prisma segitiga + V balok

                                                      = 60 m³ + 336 m³ = 396 m³

Penjelasan dengan langkah-langkah:

Bangunan ini adalah gabungan dari prisma segitiga dan balok.

Diketahui :

Prisma segitiga : alas = 5 m

                         tinggi alas = 6 m

                         tinggi prisma = 11 m - 7 m = 4 m

Ditanya : L = ?

              V = ?

L = 2 X Luas alas + Keliling alas + tinggi

  = 2 X (1/2 X 5X6) + (5+5+6) x 4

  = 2 x (15 + 16 x 4)

  = 2 x 124 = 248 m²

Volume = Luas alas X tinggi

             = (1/2 X 5X6) X 4

             = 60 m³

Sekarang kita hitung balok.

Diketahui : p = 8 m

                  l = 6 m

                  t = 7 m

Ditanya : L = ?

              V = ?

L balok = 2 (pl + pt + lt)

             = 2 (8X6 + 8X7 + 6X7)

             = 2 (48+56+42)

             = 2 x 146 = 292 m²

Volume balok = pxlxt

                        = 8 X 6 X 7

                        = 336 m³

Total Luas seluruh bangunan = L prisma segitiga + L balok

                                                 = 248 m² + 292 m² = 540 m²

Total Volume seluruh bangunan = V prisma segitiga + V balok

                                                      = 60 m³ + 336 m³ = 396 m³


17. A square of side 2 cm is cut from a triangle as shown. Find the area and perimeter of the figure.​


Jawab:

24

Penjelasan dengan langkah-langkah:

4+2+6+2+6+10

Jawaban:

Areanya 20cm

perimeternya 24 cm

Penjelasan dengan langkah-langkah:

penjelasan ada di foto sori klo salah


18. a tent has a dimension shown in the diagram. Find the area of the groundsheet needed to fit inside the tent.


Jawab:

matematika atau bahasa inggris


19. The signature of the letter is shown by sentence


Jawaban:

The signature of the letter is shown by sentence

Tanda tangan surat itu ditunjukkan oleh

kalimat

Semoga Membantu


20. The plane could fly again.... one the enginecs of the plane was sturck by linghtning


Jawaban:

The plain could fly again, but one of the engines of the plane was struck by lightning.

Penjelasan:

Semoga membantu yaa


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