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Summer Clouds moderators
19/10/2017 at 14:11
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1
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A tennis court with a length of 78 ft is 6 ft longer than twice its width. What is the width of the tennis court?

  • ...
    ForOver Coordinator 19/10/2017 at 16:20

    Call  the width is x.

    We have \(78=2x+6\)

    So \(x=36\)  <=> the width is 36 ft.

    Answer : 36 ft.

    Selected by MathYouLike

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Cloud moderators
06/12/2017 at 14:00
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A regular hexagon is inscribed in a circle of radius 1 unit. On each side of the hexagon, a semicircle is constructed with the side of the hexagon as a diameter, as shown. What is the perimeter of the figure formed by these semicircles? Express your answer as a decimal to the nearest tenth.
undefined

  • ...
    Nguyễn Hưng Phát 06/12/2017 at 19:22

    The side of the hexagon is:

       \(1\times2\div2=1\)(unit)

    The perimeter of a semicircle is:

       \(\dfrac{1\times3,14}{2}=1,57\)

    The perimeter of the figure formed by these semicircle is:

          \(1,57\times6=9,42\approx9,4\)

    Answer:9,4

    Selected by MathYouLike

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Lê Quốc Trần Anh Coordinator
03/01/2018 at 17:04
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 A square with a diagonal of length 7 units is inscribed in a circle. What is the positive difference between the area of the square and the area of the circle? Express your answer as a decimal to the nearest hundredth.

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    Alone 03/01/2018 at 19:23

    7

    The area of the circle is:

        \(\left(7:2\right)^2.3,14=38,465\)

    The area of the square is:

       \(\left(\sqrt{\dfrac{7^2}{2}}\right)^2=\dfrac{49}{2}\)

    So the answer is:\(\left|38,465-\dfrac{49}{2}\right|=\left|13,965\right|\approx13,97\)

    Lê Quốc Trần Anh selected this answer.
  • ...
    Asuna Yuuki 04/01/2018 at 15:52

    The area of the circle is:

        (7:2)2.3,14=38,465(7:2)2.3,14=38,465

    The area of the square is:

       (√722)2=492(722)2=492

    So the answer is:∣∣∣38,465−492∣∣∣=|13,965|≈13,97

  • ...
    FA Liên Quân Garena 08/01/2018 at 21:47

    7

    The area of the circle is:

        (7:2)2.3,14=38,465

    The area of the square is:

       ⎛⎝√722⎞⎠2=492

    So the answer is:∣∣∣38,465−492∣∣∣=|13,965|≈13,97


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Lê Quốc Trần Anh Coordinator
03/03/2018 at 11:25
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A three-digit number is created with three different digits from the set {1, 2, 3, 4, 5}. What is the probability that the number is a multiple of 15? Express your answer as a common fraction.


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Lê Quốc Trần Anh Coordinator
19/06/2018 at 02:17
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  Sneaky Joe has a loaded die with the numbers 1, 2 and 3 each having a probability of 1/4 of being rolled and the numbers 4, 5 and 6 each having a probability of 1/12 of being rolled. No one but Joe knows about the loaded die. Sneaky Joe offers to take the following bet with you: You roll the die. If the result is an even number, you win $x; if it’s an odd number, you lose and pay Joe $5. How much should Sneaky Joe pay you for a win to make this a fair bet? 


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vũ tuấn mạnh clever12456789
22/07/2018 at 12:26
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tìm giá trị lớn  nhất biết : -(x-2)2-/y/+5 giúp với chiều nay mình đi hok r

 
 

  • ...
    Tôn Thất Khắc Trịnh 24/07/2018 at 13:37

    \(\sqrt{3}x-2=2\)
    \(\Leftrightarrow\sqrt{3}x=4\)
    \(\Leftrightarrow x=\dfrac{4}{\sqrt{3}}=\dfrac{4\sqrt{3}}{3}>\dfrac{2}{3}\)
    Xin lỗi nha, mình trả lời bạn hơi chậm rùi khocroi

    vũ tuấn mạnh clever12456789 selected this answer.

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Quoc Tran Anh Le Coordinator
05/08/2018 at 03:49
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Each digit 0 through 9 is used exactly once to create two five-digit numbers. What is the sum of the digits of the greatest product of two such numbers?

MathcountssumGreatest value


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Makago
23/12/2018 at 06:23
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 If 1 = 10 , 2 = 11 , 3 = 12 , ...

So 10 = ?????

Gotta hurry :D

  • ...
    Huỳnh Anh Phương 25/12/2018 at 03:58

    1 = 10 => 1+ 9 = 10

    2 = 11 => 2 + 9 = 11

    3 = 12 => 3 + 9 = 12

    ...

    So 10 = 19

  • ...
    Bùi Vũ Hoàng Linh 21/01/2019 at 12:41

    10 = 19

    Tôi tự tính đấy

  • ...
    sara luu 29/12/2018 at 06:24

    Vì 1=10; 2=11; 3=12; 4=13; 5=14; 6=15; 7=16; 8=17; 9=18

    nên 10=19

    Vậy 10=19


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thuytienganh
18/03/2017 at 21:07
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Hi ,My name is Phuong Thuy . I am nine years old . Iam ai Thanh Duong primary shool

\(\pi,\phi,\xi,\varepsilon,\omega,\gamma\)

 

  • ...
    Nguyệt Nguyệt 18/03/2017 at 21:11

    Hello. My name is Nguyet Nguyet. I am thirteen years old and i study at Vo Thi Sau secondary school.


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John
25/03/2017 at 16:44
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Given a rectangle paper with a circle hole as the figure below. How to cut the paper with a line so that we have two parts with equal area.

area

  • ...
    An Duong 25/03/2017 at 21:31

    Because a line through a center of a rectangle (or a circle) divide it into two part with equivalent area.

    So you should cut the paper by the line connecting two centers of the rectangle and the circle (see following figure)

    Selected by MathYouLike

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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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