Contoh Soal American Math Olympiad

Contoh Soal American Math Olympiad

dialog math olympiad menimal 4

Daftar Isi

1. dialog math olympiad menimal 4


Faia : Hey, Qos! I heard that you won the International Math Olympiade last month. Congratulations! You're great!

Qosih : Thank you, Fai. It's been a long day.

Faia : Yeah, I know. I'm sorry for my late.

Qosih : It don't matter.

Faia : How did you got it? You know you're really impressive! You need the big efforts to win the competition, didn't you?

Qosih : Yes, I did. I know that I was chosen by school to take a part in it. I was nervous for the first time. But I realised that I'm the only one who must survive and fighting.

Faia : Woah. I really proud of you. I couldn't imagine what will happen if I were you.

Qosih : Just take it easy. We shouldn't arrogant and keep humble.

Faia : The teachers should congratulating you.

Qosih : They did.

Faia : Okay. I hope you'll get success and keep fighting to your math! I know you're such a genius girl that I wanna be like you. Tell me if you've take any part in another competitions. I can't wait to see you again.

Qosih : Alright, Fai. Thank you so much.

Faia : Sure. I had to go now.

Qosih : Take care of your self.

2. Ucapan selamat ke pada Luky telah memenangkan math olympiad


Congratulations Luky you won the math Olympic!


3. 2. * Gambar Tanpa Teks a. he and his team won a Math Olympiad b. he joins the national Math Olympiad team c. he is appointed the leader of a Math Olympiad team d. he has worked hard for the success of his Olympiad team


Jawaban:

b. he joins the national Math Olympiad team

Penjelasan:

Semoga membantu :/


4. kak apa arti dari conratulations for math being on winner olympiad​


Jawaban:

selamat kamu memenangkan olimpiade ini

Penjelasan:

semoga bermanfaat

Jawaban:

selamat menjadi pemenang olimpiade matematika


5. Quiz Math " Tuliskan Pengertian Bangun ruang , Contoh bangun ruang , serta contoh soal mengenai bangun ruang ? ​


Jawaban:

Tuliskan Pengertian Bangun ruang

bangun ruang atau bangun tiga dimensi adalah bentuk yang memiliki panjang, lebar, dan kedalaman.

contoh bangun ruang

bangun ruang kubus, balok, limas, prisma, dan tabung, kerucut, bola. dll

soal mengenai bangun ruang balok=volume=p×l×t=10×5×8=400 cm²

#CMIIW


6. susunkan for-congratulation-being-on-math- winner-olympiad​


Jawaban:

congratulation for being on math winner olympiad

Penjelasan:

I'm sorry if I'm wrong

Jawaban:

Congratulations for math being on winner Olympiad


7. kak apa jawaban dari congratulations for math being in winner olympiad​


Jawaban:

congratulation for being winner on math olympiad

Penjelasan:

Maap kalo salah

selamat untuk matematika karena menjadi pemenang olimpiade

Jwb: thank you

8. Buatlah dialog dengan topik:1. Graduation2. Math olympiad champions3. Weddingdengan menggunakan expression of congratulation!​


gak tau deh,maaf ya‍❤️‍


9. Tolong di artikan yaTo persuade the readers to join internasional Math OlympiadTo descride the childhood of Mery Riana


Membujuk pembaca untuk mengikuti Olimpiade Matematika Internasional
Untuk menggambarkan masa kecil Mery Rianauntuk pembujuk para pembaca
untuk bergabung dengan ompliade tikar internasional
untuk menggambarkan rasa meri riana
semoga membantu dan bermanfaat

10. Tuliskan contoh soal math tentang: 1. Skala 2. Denah


Jawaban:

Contoh soal tentang SKALA:

1. Desa Indah dan Desa Makmur berjarak 10 km. Pada peta, jarak tsb hanya 10 cm. Berapa skala yang digunakan pada peta tsb?

JAWABAN: 1 : 100.000

CARA:

JS = 10 km

= 1.000.000 cm

JP = 10 cm

Skala = JP : JS

= 10 : 1.000.000

= 1 : 100.000

*JP = jarak pada peta

*JS = jarak sebenarnya

2. Jarak dua kota pada sebuah peta 11 cm. Padahal, jarak kedua kota tsb sebenarnya 121 km. Tentukan skala yang digunakan pada peta tsb!

JAWABAN : 1 : 1.100.000

CARA :

JS = 121 km

= 12.100.000 cm

JP = 11 cm

Skala = JP : JS

= 11 : 12.100.000

= 1 : 1.100.000

*JP = jarak pada peta

*JS = jarak sebenarnya

_______________

maaf kalo salah

semoga membantu

(tidak ada ide utk contoh soal ttg denah)


11. perjemahkan dalam bahasa indonesia your classmete will represent your scholl at the math olypiad. the best response for the statement isa. I hope you can win the olympiadb. I hope to win the olympiad. c. congratulations on winning the olympiadd. you're smart like einstein​


Jawaban:

c

Penjelasan:


12. susunkan for-congratulation-being-on-math- winner-olympiad​


Jawaban:

congratulation for being winner on math olympiad


13. Math QuizBuat 1 Contoh Soal Integral Tentu dan yang tidak tentu lengkap dengan jawabannya?​


Diketahui :

Buat 1 Contoh Soal Integral Tentu dan yang tidak tentu lengkap dengan jawabannya?

Ditanya : Buat 1 Contoh Soal Integral Tentu dan yang tidak tentu

Penyelesaian : Tersedia dalam bentuk gambar

Pembahasan :

Integral tentu berarti nilai integral tersebut ada batasnya ,Integral x dx = 1/2 x^2

Integral tak tentu adalah integral yang tidah memiliki niali secara langsung

Langkahnya kita ubah bentuk integral tersebut menjadi satu per satu

______________

Pelajari lebih lanjut :

Integral tak tentu https://brainly.co.id/tugas/32Integral tak tentu integral 5dx https://brainly.co.id/tugas/1540293Selesai kan integral integral berikut Integral x² dx https://brainly.co.id/tugas/21148392

Detail Jawaban :

Materi : 12 SMA Mapel : Matematika Bab : Integral Kode Soal : 2Kode Kategorisasi : 11.2.10

INTEGRAL TENTU DAN INTEGRAL TAK TENTU

Jadi, ada 3 teknik dalam mengerjakan integral, yaitu integral substitusi, integral parsial, dan integral substitusi trigonometri. Begini cara penggunaannya :

Integral tak tentu (substitusi)

Nah kalau substitusi, ada dua tipe soal nya, soal pertama :

1.

Berapa hasil dari [tex] \displaystyle \int x^2 \sqrt{x^3 -3} dx [/tex]

Nah, untuk ini kita misalkan :

[tex] u = x^3 -3 \to du = 3x^2 dx [/tex]

Nah, kita ubah dulu bentuk integral tadi

[tex] \displaystyle \int x^2 \sqrt{x^3 -3} dx [/tex]

= [tex] \displaystyle \int \sqrt{(x^3 -3)} \times \frac{1}{3} (3x^2 dx) [/tex]

nah disini, kita bisa langsung substitusi nilai yang sudah kita dapat tadi

= [tex] \displaystyle \int \sqrt{u} \times \frac{1}{3} (du) [/tex]

= [tex] \frac{1}{3} \int u^{\frac{1}{2}} du [/tex]

= [tex] \frac{1}{3} (\frac{2}{3} u^{\frac{3}{2}}) [/tex]

= [tex] \frac{2}{9} u \sqrt{u} [/tex]

substitusi kembali nilai u = [tex] x^3 -3 [/tex]

= [tex] \frac{2}{9} (x^3 -3) \sqrt{x^3 -3} [/tex]

maka :

[tex] \\ \displaystyle \int x^2 \sqrt{x^3 -3} dx = \frac{2}{9} (x^3 -3) \sqrt{x^3 -3} + C [/tex]

2.

berapa hasil dari [tex] \displaystyle \int 4x^7 \sqrt{x^4 -6} dx [/tex]

Maka, lakukan hal seperti tadi, tapi yang ini beda langkah, perhatikan, misalkan

[tex] u = x^4 -6 \to \frac{du}{dx} = 4x^3 \to dx = \frac{du}{4x^3} [/tex]

jabarkan lagi seperti tadi

[tex] \int 4x^7 \sqrt{x^4 -6} dx [/tex]

[tex] = \int \sqrt{(x^4 -6)} (4x^7 dx) [/tex]

[tex] = \int \sqrt{u} (\frac{4x^7}{4x^3} du) [/tex]

[tex] = \int \sqrt{u} (u + 6) du [/tex]

[tex] = \int (u^{\frac{3}{2}} + 6u^{\frac{1}{2}} ) du [/tex]

[tex] = \frac{2}{5} u^{\frac{5}{2}} + 4u^{\frac{3}{2}} [/tex]

masukan nilai u, maka didapat :

[tex] \\ \displaystyle \int 4x^7 \sqrt{x^4 -6} dx = \frac{2}{5} (x^4 -6)^2 \sqrt{x^4 -6} + 4 (x^4 -6) \sqrt{x^4 -6} + C [/tex]

Integral tak tentu (parsial)

3.

Hasil dari [tex] \int x^2 (x + 7)^9 dx [/tex]

nah, rumus integral parsial harus dihafal nih! yaitu

[tex] \int u \: dv = u.v - \int v \: du [/tex]

oke, mari kita misalkan

[tex] \int x^2 (x + 7)^9 dx = \int u \: dv [/tex]

maka diperoleh :

u = x² [tex] \to du = 2x dx [/tex]

dv = (x + 7)⁹ dx

Nah, bagaimana cara mencari integral dari (x + 7)⁹? Gunakan integral substitusi yang baru kamu pelajari tadi!

misalkan

a = x + 7 => da = dx

maka

∫ (x + 7)⁹ dx = ∫ a⁹ da

= ⅒(a)¹⁰

= ⅒(a + 7)¹⁰

maka v = ⅒(x + 7)¹⁰

masukan ke rumus :

[tex] \int u \: dv = u.v - \int v \: du [/tex]

[tex] \int x^2 (x + 7)^9 dx = (x^2)(\frac{1}{10} (x + 7)^{10}) - \int \frac{1}{10} (x + 7)^{10} (2x dx) [/tex]

= [tex] \frac{x^2}{10} (x + 7)^{10} - \int \frac{2x}{10} (x + 7)^{10} dx [/tex]

dengan integral substitusi, maka :

[tex] \int \frac{2x}{10} (x + 7)^{10} dx [/tex]

misal b = x + 7

db = dx

= [tex] \int \frac{2(b -7)}{10} b^{10} db [/tex]

= [tex] \int \frac{2b^{11} -14b^{10}}{10} db [/tex]

= [tex] \frac{1}{60} (x + 7)^{12} - \frac{7}{55} (x + 7)^{11} [/tex]

lanjut mencari integral :

= [tex] \frac{x^2}{10} (x + 7)^{10} -\frac{1}{60} (x + 7)^{12} + \frac{7}{55} (x + 7)^{11}[/tex]

maka :

[tex] \\ \int x^2 (x + 7)^9 dx = \frac{x^2}{10} (x + 7)^{10} + \frac{7}{55} (x + 7)^{11}-\frac{1}{60} (x + 7)^{12} + C [/tex]

Integral tentu (substitusi trigonometri)

4.

Hasil dari [tex] \int \limits^1_0 (1 -x^2) \sqrt{1 -x^2} dx [/tex]

Nah, disini kita hany menggunakan konsep integral subtitusi trigonometri

[tex] \sqrt{a^2 -x^2} \to substitusi \: \sin(u) = \frac{x}{a} [/tex]

[tex] \sqrt{x^2 -a^2} \to substitusi \: \sec(u) = \frac{x}{a} [/tex]

[tex] \sqrt{x^2 + a^2} \to substitusi \: \tan(u) = \frac{x}{a} [/tex]

karena disini bentuknya [tex] \sqrt{1^2 -x^2} [/tex]

maka misalkan :

sin (u) = x

dx = cos (u) du

karena ini integral tentu, ubah juga batas batasnya!

[tex] x = 1 \to u = \frac{\pi}{2} [/tex]

[tex] x = 0 \to u = 0 [/tex]

[tex] \int \limits^1_0 (1 -x^2) \sqrt{1 -x^2} dx [/tex]

= [tex] \int \limits^1_0 (1 -x^2)^{\frac{3}{2}} dx [/tex]

= [tex] \int \limits^{\frac{\pi}{2}}_0 (1 - \sin ^2 (u))^{\frac{3}{2}} \cos (u) du [/tex]

= [tex] \int \limits^{\frac{\pi}{2}}_0 \cos ^4 (u) du [/tex]

[tex] = \int \limits^{\frac{\pi}{2}}_0( \cos ^2(u)) {}^{2} du[/tex]

[tex] = \int \limits^{\frac{\pi}{2}}_0( \frac{1}{2} + \frac{1}{2} \cos(2u) ) {}^{2} du[/tex]

[tex] = \int \limits^{\frac{\pi}{2}}_0( \frac{1}{4} + \frac{1}{2} \cos(2u) + \frac{1}{4} \cos {}^{2} (2u) ) du[/tex]

[tex] = \int \limits^{\frac{\pi}{2}}_0( \frac{1}{4} + \frac{1}{2} \cos(2u) + \frac{1}{4} ( \frac{1}{2} + \frac{1}{2} \cos(4u) )) du[/tex]

[tex] = \int \limits^{\frac{\pi}{2}}_0( \frac{1}{4} + \frac{1}{2} \cos(2u) + \frac{1}{8} + \frac{1}{8} \cos(4u) ) du[/tex]

[tex] = [\frac{3}{8}u + \frac{1}{4} \sin(2u) + \frac{1}{4} \sin(4u)]^{\frac{\pi}{2}}_0[/tex]

[tex] = (\frac{3}{8}( \frac{\pi}{2} ) + \frac{1}{4} \sin(\pi) + \frac{1}{4} \sin(2\pi)) - (0 + 0 + 0)[/tex]

[tex] = (\frac{3\pi}{16} ) + 0 + 0[/tex]

= 3π/16

maka

[tex] \int \limits^1_0 (1 -x^2) \sqrt{1 -x^2} dx = \frac{3\pi}{16} [/tex]

14. contoh american food


Sticky Baked 
Chicken Wings

Fried Green Tomato BLTsRicotta Spread with Olive Oil and Dark Chocolate

15. 1. Why does the writer write Mery Riana's dailyactivities? A.To tell the daily activities of Mery RianaB.To retell the experience of Mery Riana inMath OlympiadC.To persuade the readers to join InternationalMath OlympiadD.To describe the childhood of Mery Riana​


Jawaban:

A. To tell the daily activities of Mery Riana

Jawaban:

1. Mengapa penulis menulis harian Mery Riana

kegiatan?

A. Menceritakan keseharian Mery Riana

B. Menceritakan kembali pengalaman Mery Riana di

Olimpiade Matematika

C. Untuk membujuk pembaca untuk bergabung dengan Internasional

Olimpiade Matematika

D. Menggambarkan masa kecil Mery Riana

Penjelasan:

jawapannya ialah A

maaf kalau salah

semoga membantu

semoga benar^_^


16. your class will represent your school at the math olympiad. the best response for the statement is​


Jawaban:

I am going to do my best at the math olympiad!

Penjelasan:


17. Tolong buatkan dialog 2 orang tentang(about) math olympiad? Please segera!


Miss Tami :“Hello Beni, I have been thinking. Maybe I should sign you in on the upcoming math Olympiad that will be held next month.” Beni : “I'm not sure Miss.” Miss Tami : “Why not? You have a lot of potential. Your math grade is the highest in school.” Beni : “Yes but, I feel nervous. We have to compete with other schools as well, It's very unlikely for me to win.” Miss Tami : “ Don't say that! You have proven to me your math skills by being my student for almost 2 years now. I know you have a lot of potential to win. If you lose at least you tried and you will get the experience.” Beni : “Hmm, You're right Miss. Okay, I'll join.” Miss Tami : “Great, I'll sign you in and we will talk about the preparation next week.” Beni : “Sounds good Miss!”

18. 2. Your classmate will represent yoursecawan Sienaschool at the Math' Olympiad.chocah PadaThe best response for the statementis..​


Jawaban:

Congratulations, I Hope you win the Math' Olympiad in our school. Good Luck !

#backtoschool2019


19. contoh kalimat british dan american


this book has green color = american
this book has green colour =british

20. Make a congratulation card based on the situation below!Your friend has just won International Math Olympiad.​


Jawaban:

Dearest [Friend's name],

Congratulations on winning the International Math Olympiad, You're so talented.Hope you will reach your dreams

Your Friend (Y/N)


21. bantu dong soal math​


semoga bermanfaat dan sukses


22. What do you hope if your classmate will represent your school at the math olympiad.a. I hope you can win the olympiad.b. You?re smart like Einstein.c. I hope to win the olympiad.d. Congratulation on winning the olympiad.​


Jawaban:

A. I hope you can win the olympiad

Penjelasan:

Karena berdasarkan kalimatnya teman sekelasnya akan mengikuti olimpiade sendiri, dan "will (akan)" dilakukan jadi jawaban yang tepat adalah A. Saya harap kamu bisa memenangkan olimpiadenya.


23. make a congratulation card based on the situation below!your friend has just won international math olympiad​


Penjelasan:

congratulation for your succeed on your math olympiad hope we could meet tomorrow to celebrating this Happy news

hope your parents are proud of you!

your friend: Maimunah

Jawaban:

Congratulations for winning the international math olympiad, hopefully in the next math olympiad you can win again

Penjelasan:

maaf kalau salah


24. Membuat percakapan tentang : your friend will take part in math olympiad he ask you to wish him luck


A : Hey dude, I heard that you are going to taking parts in math Olympiad. Is it true?
B : Yeah, it's true. So is that all what you want to ask?
A : Unfortunately I just wanna make sure of that. What are you hoping on me?
B : Well as a good friend you should wish me luck don't you?
A : I'm sorry dude, I forgot that really simple thing.
B : Well I'll forgive you this time. So when will you say it?
A : Alright, it's a really nice to hear that you're taking part in math Olympiad. And also I hope the best for you. I hope you could be the champion of it. Good luck my friend
B : Well, thank you for the care. I really appreciate it. I'll do the best and won't let you down


25. Sebutkan sifat-sifat logaritma berserta contoh soalnya!(Untuk jumlah contoh soalnya bebas)#Math.​


Penjelasan dengan langkah-langkah:

Sifat logaritma:

^a log(a) = 1^a log(x/y) = ^a log(x) - ^a log(y)^a log(x×y) = ^a log(x) + ^a log(y)^a log(1) = 0^a log = 1

Contoh soal n jwbn:

³log(27) = ³log 3³ = 1 × 3 = 3⁴log(64) = ⁴log(4³) = 1 × 3 = 3²log(4) = ²log(2²) = 1 × 2 = 2❐ Logaritma

[tex] \bf Sifatnya~ada~di~bawah [/tex]

_____________________________

Sifat #1

[tex] \rm \large \boxed {~^{a}log~b = c \iff a^{c} = b} [/tex]

[tex] \rm ²log~n = 3 [/tex]

[tex] \rm n = 2³ [/tex]

[tex] \rm n = 8 [/tex]

_____________________________

Sifat #2

[tex] \rm \large \boxed {~^{a}log~a^{n} = n} [/tex]

[tex] \rm a = ⁷log~49 [/tex]

[tex] \rm a = ⁷log~7² [/tex]

[tex] \rm a = 2 [/tex]

_____________________________

Sifat #3

[tex] \rm \large \boxed {^{a}log~b + ~^{a}log~c =~ ^{a}log~(bc)} [/tex]

[tex] \rm n = ²log~16 + ²log~2 [/tex]

[tex] \rm n = ²log~(16 \times 2) [/tex]

[tex] \rm n = ²log~32 [/tex]

[tex] \rm n = 5 [/tex]

_____________________________

Sifat #4

[tex] \rm \large \boxed {~^{a} log~b - ~^{a}log~c = ~^{a}log~(\frac {b}{c})} [/tex]

[tex] \rm n = ⁷log~49 - ⁷log~7 [/tex]

[tex] \rm n = ⁷log~(\frac {49}{7}) [/tex]

[tex] \rm n = ⁷log~7 [/tex]

[tex] \rm n = 1 [/tex]

_____________________________

Sifat #5

[tex] \rm \large \boxed {~^{a}log~a = 1} [/tex]

[tex] \rm ⁷log~7 = ⁷log~7¹ = 1 [/tex]

[tex] \rm ⁹⁹⁹log~999 = ⁹⁹⁹log~999¹ = 1 [/tex]

[tex] \rm ~^{\sqrt{3}}log~\sqrt{3} = \sqrt{3} [/tex]

_____________________________

Sifat #6

[tex] \rm \large \boxed {~^{a}log~b~.~^{b}log~c = ~^{a}log~c} [/tex]

[tex] \rm ⁸log~9 ~.~ ⁹log~8 = ⁸log~8 = 1 [/tex]

_____________________________

Sifat #7

[tex] \rm \large \boxed {~^{a^{n}}log~b^{n} = ~^{a}log~b} [/tex]

[tex] \rm ⁸log~512 = ~^{2^{3}}log~8³ = ²log~8 = 3 [/tex]

_____________________________

Sifat #8

[tex] \rm \large \boxed {^{a^{x}}log~a^{y} = \dfrac {y}{x}} [/tex]

[tex] \rm n = ⁹log~27 [/tex]

[tex] \rm n = ~^{3^{2}}log~3³ [/tex]

[tex] \rm n = \dfrac {3}{2} [/tex]

_____________________________

Sifat #9

[tex] \rm \large \boxed {^{a}log~b = \dfrac {ⁿlog~b}{ⁿlog~a}} [/tex]

[tex] \rm n = ⁷log~49 [/tex]

[tex] \rm n = \dfrac {⁷log~49}{⁷log~7} [/tex]

[tex] \rm n = \dfrac {2}{1} [/tex]

[tex] \rm n = 2 [/tex]

_____________________________

Sifat #10

[tex] \rm \large \boxed {^{a}log~1 = 0} [/tex]

[tex] \rm ⁷log~1 = 0 \iff 7⁰ = 1 [/tex]

[tex] \rm ²⁰log~1 = 0 \iff 20⁰ = 1 [/tex]

_____________________________


26. Damar: " the vice principal said that i met all the requirements follow the math olympiad ". Ethan .................... "i'm happy for you. ​


Jawaban:

said

Penjelasan


27. aWhy does Ridho congratulate Yogi?Because he has worked hard for thesuccess of his Olympiad Teamb. Because he is appointed as the leader ofa Math Olympiad Team.C. Because he is included in the NationalMath Olypiad Team.d. Because he and his team won a MathOlympiad.​


Jawaban:

C

Penjelasan:


28. Quis : [ Math ]_______Tuliskan Rumus Luas Permukaan balok dengan contoh soal dan jawabannya ! ____________​


Jawab:

Sebuah Balok dengan panjang 10 cm, lebar 15 cm, dan tinggi 5 cm. Maka luas permukaan bangun ruang tersebut ?

Luas Permukaan Balok

Lp = 2( p x l + p x t + l x t )

Lp = 2( 10 x 15 + 10 x 5 + 15 x 5 )

Lp = 2( 150 cm² + 50 cm² + 75 cm²

Lp = 2 x 275 cm² => 550 cm²

Semoga bisa membantu

[tex] \huge { \blue{ \mathfrak{jawaban : }}}[/tex]

[tex]{{\mathscr{Rumus Luas Permukaan Balok:}}}[/tex]

[tex]l = 2 \times (p.l + p.t + l.t)[/tex]

[tex]{{\mathscr{Contoh Soal Dan Jawabannya:}}}[/tex]

Tentukan Luas permukaan Balok

→ Panjang 5 cm

→ Lebar 8 cm

→ Tinggi 2 cm

[tex] \huge { \blue{ \mathfrak{jawaban : }}}[/tex]

[tex]l = 2 \times (p.l + p.t + l.t)[/tex][tex]l = 2 \times (5 \times 8 + 5 \times 2 + 8 \times 2)[/tex][tex]l = 2 \times (40 + 10 + 16)[/tex][tex]l = 2 \times 66[/tex][tex]l = 132 \: cm {}^{2} [/tex]

[tex]\blue{\blue{\fcolorbox{blue}{black}{\boxed{\bold{\blue{√}}}\boxed{\mathfrak{}\blue{Pembahasan :}}}}}[/tex]

Balok merupakan bangun ruang yang dibatasi oleh tiga pasang sisi sejajar yang berbentuk persegi atau persegi panjang dengan setidaknya terdapat satu pasang sisi sejajar yang memiliki ukuran yang berbeda.

Ciri - ciri balok

Mempunyai 6 sisi, sisi yang berhadapan memiliki bentuk dan ukuran yang sama.Mempunyai 8 titik sudut.Mempunyai 12 rusuk.Balok memiliki empat diagonal ruangBalok memiliki enam bidang diagonal

Rumus Volume Balok

V = p x l x t

Keterangan

v : volume balokp : ukuran panjang balokl : ukuran lebar balok

Rumus luas permukaan balok

Lp = 2 x ((p x l) + (p x t) + (l x t))

»Detail Jawaban

Mapel = Matematika

Kelas = 5 SD

Materi = Volume kubus dan balok

Kata kunci = mencari Volume Balok

Kode soal = 2

Kode kategorisasi = 5.2.4

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[tex]\colorbox{black}{\blue{\boxed{\colorbox{black}{\blue{\cal{By : Ukasyah45 ೄྀ࿐}}}}}}[/tex]


29. contoh soal bahasa Inggris math simbol dan jawabannya​


Jawaban:

1.Bayu have 75 ⚽ Todi have 49 ⚽ if Bayu give 56 ⚽ to Todi how much Bayu ball now?

75 - 56 =....

... +49 =...

2.Gembul have 5 of he buy 8 how much

Gembul now

5+8 =

Penjelasan:

yang simpel simpel aja yah


30. yg bisa jawab aku follow dialog congratulations 2 orang dalam bahasa Inggris tentang 1)math olympiad2)new bag3)taleted singer​


Jawaban:

Math olympiad

Kaitou: Hey Ayya, Do you know who is the winner math olympiad?

Ayya: Hi, Who is it? I am excited

Arla: It's you !! i'm proud for u !

Ayya: Oh my God. Thank for support !

Arla: Your welcome -!

New bag

Shimachi: Kaitou, Look at this

Kaitou: Where?

Shimachi: Here it is !

Kaitou: Wow, You have it by where?

Shimachi: My friends give me to me !!

Kaitou: Wow congrats !!

Shimachi : Thank you i love it the bag

Kaitou: Same, I don't see that beautiful bag

Taleted singer

Aini : Oh my God, I won !

Angel : Wow, You work so hard. Your mom is proud of you !

Aini : Thank you !! my dream comes true i am affected !!

Angel : Your welcome !

1) John: Hi, Tracy. Congratulation for being Math Olympiad winner.

Tracy: Thanks a lot, John.

John: We are proud of you.

Tracy: Thank you, you are a kind person.

2) Mirra : hello, max!

Max : Hi, mirra.

Mirra : Is that your new bag? cool!

Max : yeah, thanks

Mirra : i like the model and the color

Max : me too, I got it from my birthday present.

A : wow! congratulation! thats nice.

3) Dino: Congratulation Amy, you sing very well this night, not only you are beautiful but also you are very talented

Amy: Thanks, Dino. you are a kind person.

Dino: You're welcome.


31. Quiz Math "Pengertian integral , rumus serta Contoh soal integral beserta jawaban nya .​


Jawaban:

Integral adalah sebuah konsep penjumlahan secara berkesinambungan dalam matematika.Rumus IntegralKeterangan:k : koefisienx : variabeln : pangkat/derajat dari variabelC : konstantacontoh soal dan penyelesaiannya ada di gambar Ya

Penjelasan dengan langkah-langkah:

jadikan Jawaban terbaik Ya makasih..

→ Integral ←

Integral merupakan konsep/bentuk berkesinambungan yang merupakan kebalikan dari turunan

Rumus :

[tex] \boxed {\rm{ \int a \: dx = ax + c}}[/tex][tex] \boxed{ \rm{ \int {x}^{n} \: dx = \frac{ {x}^{n + 1} }{n + 1} + c,dengan \: n \ne -1}}[/tex]

Contoh soal :

Buktikan bahwa nilai dari [tex] \rm{ \int^{2}_{ - 1}( {x}^{2} - + 4) \: dx} [/tex] adalah 15!!

Jawaban :

Ya benar, bukti dapat dilihat di bagian langkah-langkah.

Langkah-langkah :

[tex] \rm \int^2_{ - 1} {x}^{2} dx + \int^2_{ - 1}4dx[/tex]

[tex] \rm \frac{ {2}^{3} }{ {3} } - \frac{( - 1 {)}^{3} }{3} + \int ^2_{ - 1}1dx[/tex]

[tex] \rm \frac{ {2}^{3} }{3} - \frac{( - 1 {)}^{3} }{3} + 4(2 - ( - 1)) = 15 [/tex] [Terbukti]


32. Quiz (11/100 ) Jelaskan! Pengertian Permutasi , Kombinasi dan Contoh Soalnya. ? #Math​


>> Peluang

[tex]\sf{\blue{Peluang}}[/tex]adalah sebuah ilmu matematika yang mempelajari tentang sebuah kemungkinan suatu kejadian.

Rumus dasar peluang adalah :

[tex]\boxed{\sf{p(a) = \frac{n(a)}{n(s)}}}[/tex]

ket :

p(a) = peluang kejadian a

n(a) = anggota kejadian a

n(s) = Anggota sampel

.

Dan dengan syarat, apabila :

0 ≤ p(a) ≤ 1

Jika p(a) = 0, maka mustahil suatu kejadian itu terjadi.

Jika p(a) = 1, maka sudah pasti suatu kejadian itu terjadi.

•••

Peluang, menyangkut dengan 3 materi yaitu :

➪ Permutasi

➪ Kombinasi

➪ Filling shot

•••

⁘ Permutasi

Permutasi adalah sebuah ilmu yang mempelajari yaitu mencari banyaknya suatu susunan kata dari suatu kata.

Rumus permutasi (Mempunyai unsur ganda) adalah :

[tex]\boxed{\sf{p = \frac{n!}{k!}}}[/tex]

ket :

p = permutasi

n = total huruf

k = huruf ganda

•••

Rumus permutasi (Tidak ada unsur ganda) adalah :

[tex]\boxed{\sf{p =n!}}[/tex]

ket :

p = permutasi

n = total huruf

•••

⁘ Kombinasi

Kombinasi adalah sebuah ilmu yang mempelajari yaitu mencari banyaknya cara yang diminta dari sebuah kejadian.

Rumus kombinasi :

[tex]\boxed{\sf{{}^{n}C_{r} = \frac{n!}{r!(n - 1)!}}}[/tex]

ket :

C = kombinasi

n = banyaknya kejadian

r = banyaknya kejadian yang diminta

•••

⁘ Filling shot (Pengisian tempat)

Filling shot (pengisian tempat) adalah ilmu yang mempelajari tentang mencari banyak cara dari 2maupun lebih kejadian.

Rumus Filling shot :

[tex]\boxed{\sf{p = a × b}}[/tex]

ket :

p = banyak cara

a = kejadian pertama

b = kejadian kedua

Contoh soal :

Nomor (1)

Hitunglah nilai dari p(3, 1) ; maka :

p(3, 1) = 3!/(3 - 1)!

p(3, 1) = 3!/2!

p(3, 1) = 3.2!/2! (Coret 2! karna sama)

p(3, 1) = 3✔️

•••

Nomor (2)

Hitunglah nilai dari c(3, 1) ; maka :

c(3, 1) = 3!/1!.(3 - 1)!

c(3, 1) = 3!/1!.2!

c(3, 1) = 3.2!/1!.2! (Coret 2! karna sama)

c(3, 1) = 3/1

c(3, 1) = 3✔️

Permutasi

Permutasi merupakan penyusunan kembali suatu kumpulan objek dalam urutan yang berbeda dari urutan yang semula

__________________________________

Kombinasi

Kombinasi merupakan menggabungkan beberapa objek dari suatu gruop tanpa memperhatikan urutan.

__________________________________

Contoh soal

Seorang satpam bank ingin mencetak nomor antrian nasabah yang terdiri dari tiga angka. Jika nomor antrian tersebut tidak memuat angka yang sama yang di bentuk dari angka 0,1,2,3. Banyak pilihan nomor antrian yang dapat dibuat adalah ....

a. 4 cara

b. 12 cara

c. 24 cara

d. 36 cara

e. 72 cara

PEMBAHASAN

banyak angka yang tersedia = 4 angka yaitu, 0, 1, 2, 3, mana nn = 4

Karena akan dipilih 3 nomor antrian berbeda, maka banyak pilihannya adalah permutasi 3 dan 4

P (n , r) = n!/(n - r)!

Maka, P(4,3) = 4!/(4 - 3)!

                     = 4!/1!

                     = 4 × 3 × 2

                     = 24

__________________________________

Contoh Soal

sebuah kantong berisi 6 kelereng putih, 4 kelereng biru dan 3 kelereng merah. Banyak cara pengambilan 3 kelereng putih dari kantong tersebut adalah ...

a 720 cara

b. 360 cara

c. 120 cara

d. 60 cara

e. 20 cara

PEMBAHASAN :

karena akan dipilih 3 kelereng dari 6 kelereng, maak gunakan kombinasi 3 dari 6

Cnr = n!/r!(n - r)!

C63 = 6!/3!(6 - 3)!

       = 6 × 5 × 4 × 3!/3! × 3!

       = ⁶ ˣ ⁵ ˣ ⁴/₃ ₓ ₂ ₓ ₁

banyak kombinasi warna yang dihasilkan adalah 20 cara


33. Soal Math circle..................


Jawaban:

TA dan TB: garis singgung lingkaran

jari-jari = r = 12 cm

garis singgung tegak lurus dengan jari-jari lingkaran:

∠ PAT = ∠PBT = sudut siku-siku = 90°

segitiga PAT: alas AP, tinggi AT, sisi miring PT

∠ATB = 60°

a.

∠ATP = ½∠ATB

∠ATP = ½ x 60° = 30°

sin α = depan/miring

sin 30° = 1/2

sin 30° = depan/miring = AP/PT = 1/2

1/2 = AP/PT

1/2 = 12/PT

PT = 2 x 12 = 24 cm

Bisa pakai triple phytagoras:

PT² = AP² + AT²

24² = 12² + AT²

24² - 12² = AT²

576 - 144 = AT²

432 = AT²

AT = √432 = √144x√3 = 12√3 cm.

atau perbandingan sisi pada segitiga yang sudutnya 30°, 60°, 90°:

alas : tinggi : sisi miring = 1 : √3 : 2

AP : AT : PT = 1 : √3 : 2

12 : AT = 1 : √3

AT = 12√3

b.

cara 1 ada di jawaban nomor a, PT = 24 cm

atau:

AP : AT : PT = 1 : √3 : 2

12 : PT = 1 : 2

PT = 2x12 = 24 cm

c.

sin ∠ATP = depan/miring = (½AB)/AT

sin 30° = 1/2 = (½AB)/AT

1/2 = (½AB)/(12√3)

½AB = 1 x 12√3 / 2

½AB = 6√3

AB = 6√3 x 2 = 12√3 cm


34. Oki : Congratulations on winning theMath Olympiad.Oza : ...........a. Never mind. c. Absolutelyb. Thanks.d. I'm sorry.​


Jawaban:

B.Thanks

Penjelasan:

Semoga membantu

Jadikan jawaban terbaik ya Mkasih

Jawaban:

B. Thanks

Penjelasan:

Semoga bermanfaat


35. Your classmate got the first winner of math olympiad


Compliment; congratulations for your succes i'm proud to have a friend like you







36. The following dialog is for question 5 to 75. Why does Hasan congratulate Akmal? Because... a. He and his team won a math Olympiad. b. he is inclued in the national math Olympiad team. c. hi is appointed the leader of a math olympiad team. 6. From the dialog we can conclued that... a. Akmal is a really smart studentb. Hasan is very good at mathematicsc. Akmal and Hasan will enter a math olympiad.d. Akmal is preparing himself for a math test. 7. Hasan says, "I am sure you and your team will achieve victory". the underlined word can be replaced by... a. failureb. triumphc. treasured. rewardstolong jawab! di kumpul besok. ​


Jawaban:

5. B

6. D

7. D

Semoga membantu, jgn lupa jadikan jwbn terbaik ya :)


37. Contoh perbedaan British dan American English?


british > colour, lorry, at the weekend
american > color, truck, on the weekendBritish      : Connexion,  Centre, Travelling 
American : Connection, Center, Traveling

38. 2. situationlana won the math olympiad and got the chance to join the national math olympiad in Jakarta.mr.marno as his math teacher congratulates him and give a compliment of his great achievement. he also hopes that lana Will be the national champion in the math olympiad.conversation;Mr.marno:.............lama: thank you very much, Mr.marno.I can't be this far without your help I really hope so that I can win the next olympiad." tolong ya besok dikumpul​


Jawaban:

Congratulations Lana i hope you can win the next Olympiad

(maaf jika salah)


39. MACAM MANA HENDAK MENYELESAIKAN SOALAN MATH?


Jawaban terlampir di gambar


40. I heard you won the math olympiad. is it true artinya​


Jawaban:

Saya ingin kamu menang olimpiade matematika.

Penjelasan:

Semoga berguna

Jawaban

arti dari "I heard you won the math olympiad. is it true " adalah

Saya mendengar kamu memenangkan olimpiade matematika. Apakah itu benar

Semangat..!


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