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Makovka662 [10]
3 years ago
9

Please answer please

Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

<BAC = <DEC = 30°

<BCA = <DCE = 70°

<CDE (or m<D) = 180° - <DEC - <DCE

<CDE = 180° - 30° - 70°

<CDE = 80°

The number that belongs in the green box is 80

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JulijaS [17]

-7x+14>-3x-6

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Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://
Andrews [41]

Step-by-step explanation:

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Here we have a negative 7, so we add 7 to both sides

{x}^{2}  + 10x = 7

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Then we add that to both sides

{x}^{2}  + 10x + 25 = 7 + 25

{ {x}^{2} } + 10x + 25 = 32

Next, we factor the left,

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so we get

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This is called a perfect square trinomial.

Next, we take the square root of both sides

x + 5 = ± \sqrt{32}

± menas that we have a positive and negative solution.

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x =  - 5± \sqrt{32}

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Veronika [31]

The difference between the volume of the spheres is 3428.88 cubic feet

Explanation:

Given that one sphere has a radius of 11 feet.

A second sphere has a radius of 8 feet.

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The formula to determine the volume of the sphere is given by

V=\frac{4}{3} \pi r^3

Volume of the 1st sphere is given by

V=\frac{4}{3}(3.14)(11)^3

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The volume of the 1st sphere is 5572.45 cubic feet.

<u>Volume of the 2nd sphere:</u>

Volume of the 2nd sphere is given by

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The volume of the 2nd sphere is 2143.57 cubic feet.

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Difference = Volume of the 1st sphere - Volume of the 2nd sphere

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Difference = 3428.88 cubic feet.

Hence, the difference between the volume of the spheres is 3428.88 cubic feet.

7 0
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