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Phan Thanh Tinh Coordinator
29/08/2017 at 10:16
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Let a, b, \(\sqrt{a^2+b^2}\) be the length of the sides of a triangle. Find the ratio of the area of the subscribe circle to the area of the incircle of the triangle.


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Summer Clouds moderators
13/10/2017 at 10:13
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Let $\triangle {ABC}$ be an equilateral triangle. How many squares in the same plane as $\triangle {ABC}$ share two vertices with the triangle?


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Lê Quốc Trần Anh Coordinator
13/11/2017 at 17:46
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Working together, Tom and Dick can dig 3 holes in 6 hours. Knowing Tom digs twice as fast as Dick, how many hours would it take Tom, working alone, to dig 12 holes ?

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    Dao Trong Luan Coordinator 13/11/2017 at 19:15

    In a hour, two person can dig:

    3 : 6 = 1/2 [hole]

    Speed of Tom is:

    \(\dfrac{1}{2}\div\left(2+1\right)\cdot2=\dfrac{1}{3}\left(holes\text{/}hour\right)\)

    So Tom need \(12:\dfrac{1}{3}=36\left(hours\right)\) to dig 12 holes

    Selected by MathYouLike

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Cloud moderators
29/11/2017 at 15:29
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The circle shown has a diameter of 12 inches, m \(\angle\)ABC = 30 degrees and AB = BC. What is the length of minor arc AC? Express your answer in terms of π.
undefined

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    Phan Thanh Tinh Coordinator 30/11/2017 at 19:23

    Let O be the center of the circle, then \(\widehat{AOC}=2\widehat{ABC}=2.30^0=60^0\)

    The answer is : \(12\pi.\dfrac{60}{360}=2\pi\) (in)

    Selected by MathYouLike

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Dao Trong Luan Coordinator
07/04/2018 at 05:07
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2
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Caculator: 

\(A=\dfrac{\dfrac{\dfrac{2017}{1}+\dfrac{2016}{2}+...+\dfrac{1}{2017}}{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2018}}}{\dfrac{\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{2017}}{\dfrac{1}{2016}+\dfrac{2}{2015}+...+\dfrac{2016}{1}}}\)

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    Lê Quốc Trần Anh Coordinator 07/04/2018 at 11:38

    Calculate(v), not "calculator"(n) or "calculating"(v-ing)

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    Unknown account 07/04/2018 at 11:31

    Calculating not "caculator" :)


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Lê Quốc Trần Anh Coordinator
10/06/2018 at 06:31
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Find x,y,z satisfys: \(\dfrac{x}{8}=\dfrac{y}{3}=\dfrac{z}{10}\) and xy + yz + zx = 1206

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    Alone 14/06/2018 at 01:07

    \(\dfrac{x}{8}=\dfrac{y}{3}=\dfrac{z}{10}\Rightarrow\dfrac{x^2}{64}=\dfrac{xy}{24}=\dfrac{yz}{30}=\dfrac{zx}{80}=\dfrac{xy+yz+zx}{24+30+80}=\dfrac{1206}{134}=9\)

    \(\Rightarrow x^2=64.9=8^2.3^2\Rightarrow x=\pm24\)

    With x=24 then y=24:8.3=9;z=30

    With x=-24 then y=-9;z=-30

    Lê Quốc Trần Anh selected this answer.
  • ...
    Nguyễn Mạnh Hùng 15/06/2018 at 01:35

    We have:

    \(\dfrac{x}{8}=\dfrac{y}{3}=\dfrac{z}{10}\)

    \(\Rightarrow\dfrac{x^2}{64}=\dfrac{xy}{24}=\dfrac{yz}{30}=\dfrac{xz}{80}\)

    Apply the same sequence properties, we have:

    \(\dfrac{x^2}{64}=\dfrac{xy}{24}=\dfrac{yz}{30}=\dfrac{xz}{80}=\dfrac{xy+yz+xz}{24+30+80}=\dfrac{1206}{134}=9\)

    So \(x^2=9.64=576\)\(\Rightarrow x=24\)

    \(\dfrac{xy}{24}=9\Rightarrow xy=24.9=216\Rightarrow y=9\)

    \(\dfrac{yz}{30}=9\Rightarrow yz=270\Rightarrow z=30\)

    So \(\left(x;y;z\right)=\left(24;9;30\right)\)


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Unicorn
07/07/2018 at 15:01
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three days ago , there people p cupcakes on the counter . two days ago , exactly 20% of the cupcakes were eaten . today , there are 30% fewer cupcakes than yesterday and half as many as there were three days ago. if a whole number of cupcakes were eaten everyday, what is the least possible value of p ?


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Nobitashshs
03/08/2018 at 14:11
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Do you like cake???

Do you like Fish???

  • ...
    Cristiano Ronaldo 03/08/2018 at 14:12

    Do you cake??

    Do you fish??

    Answer: No, I don't

                   Yes , I do

    Nobitashshs selected this answer.

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Quoc Tran Anh Le Coordinator
31/08/2018 at 07:04
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Ali has 5 consecutive numbers while Ben has 7 consecutive numbers, none of the Ali’s number is in the group of Ben’s numbers. If the second number of Ali’s number is 5 and the sum of Ali’s and Ben’s numbers are 128. What is the largest number of Ben’s number? 

IMSO

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    Nguyễn Viết Trung Nhân 23/03/2020 at 03:30

    Ali's smallest number is:

              5 - 1 = 4

    The total of Ben's numbers is:

             128 - {[4 + (4 + 4)] x 5 : 2} = 98

    Ben's largest number is:

            98 : 7 + 3 =  17


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Thao Dola
21/03/2017 at 11:11
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a,b and c are all prime numbers.
If a+b+c=72, then ab+ac+bc=?

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    Trịnh Đức Phát 22/03/2017 at 12:44
    Run my EDM 15 hour before (21:01)

    a + b + c = 72, then there's an even number and two odd numbers.

    The only even prime number is 2, so a = 2.

    b+c=70=3+67=7+61=11+59=17+53=23+47=29+41b+c=70=3+67=7+61=11+59=17+53=23+47=29+41Ans : a = 2 and (b;c)∈{(3;67);(67;3);(7;61);(61;7);(11;59);(59;11);(17;53);(53;17);(23;47);(47;23);(29;41);(41;29)}

    Thao Dola selected this answer.
  • ...
    Run my EDM 21/03/2017 at 21:01

    a + b + c = 72, then there's an even number and two odd numbers.

    The only even prime number is 2, so a = 2.

    \(b+c=70=3+67=7+61=11+59=17+53=23+47=29+41\)Ans : a = 2 and \(\left(b;c\right)\in\left\{\left(3;67\right);\left(67;3\right);\left(7;61\right);\left(61;7\right);\left(11;59\right);\left(59;11\right);\left(17;53\right);\left(53;17\right);\left(23;47\right);\left(47;23\right);\left(29;41\right);\left(41;29\right)\right\}\)

  • ...
    ♫ ♪ ♥► EDM Troop ◄♥ ♪ ♫ 22/03/2017 at 20:47

    Copy quên xóa nguồn à :))

    Trịnh Đức Phát

    You're a thief :)


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Trigonometric
sin cos tan cot sinh cosh tanh
Lim-log

Combined operations

 

α β γ δ θ σ ∂ ε ω φ ϕ π μ λ Ψ ξ η χ ζ ι κ ν ψ Ω ρ τ υ Γ Δ Λ Φ Π Σ Υ Ξ ϑ Θ ς ϰ
∞ ⊻ ⩞ ⋎ ⋏ ≀ ∪ ⊎ ⋓ ∩ ⋒ ⊔ ⊓ ⨿ ⊗ ⊙ ⊚ ⊛ ⊘ ⊝ ⊕ ⊖ ⊠ ◯ ⊥
⇔ ⇒ ⇐ → ← ↔ ↑ ↓
Operations
+ - ÷ × ≠ = ⊂ ⊃ ⊆ ⊇ ≈ ∈ ∉ ∃ ∄ ≤ ≥ ± ∓ ≠ ∅ ≃ ≅ ≡ ⋮ ⋮̸ ∀
(□) [□] {□} |□|

The type of system

m×n 1×2 1×3 1×4 1×5 1×6
2×1 2×2 2×3 2×4 2×5 2×6
3×1 3×2 3×3 3×4 3×5 3×6
4×1 4×2 4×3 4×4 4×5 4×6
5×1 5×2 5×3 5×4 5×5 5×6
6×1 6×2 6×3 6×4 6×5 6×6

Recipe:

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