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lara [203]
3 years ago
14

The perimeter of a​ standard-sized rectangular rug is 2828 ft. the length is 22 ft longer than the width. find the dimensions.

Mathematics
1 answer:
o-na [289]3 years ago
3 0
X + x + 22 + x + x + 22 = 2828
4x + 44 = 2828
4x = 2784
x = 696 ft
(x + 22) = 718 ft
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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

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3 years ago
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elena55 [62]

Answer:

y-3x=-1

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3 years ago
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Answer:

5.2%

Step-by-step explanation:

((999.4 × 100) ÷ 950) - 100

(99,940 ÷ 950) - 100

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5.2

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3 years ago
Can someone help me to find length CD
uysha [10]

Answer:

CD = 3.602019190339

Step-by-step explanation:

CD = DA - CA

DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507

BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278

CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168

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CD = 16.355388523507 - 12.753369333168 = 3.602019190339

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Answer:

A. Side-Angle-Side (SAS).

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Sides go first. Side.

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Side again. Side.

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