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prohojiy [21]
3 years ago
11

A room is 20 feet long, 12 feet wide, and 10 feet high. What is the maximum distance from one corner to another

Mathematics
2 answers:
swat323 years ago
6 0

Answer:

25.4 ft  

Step-by-step explanation:

Let D1 be the distance from one corner to the diagonally opposite one and D2 be the  diagonal distance from one corner to the ceiling.

D1² = 20² + 12²

D2² = D1² + 10²            Substitute the value of D1²

D2² = 20² + 12² + 10²

D2² = 400 + 144 + 100

D2² = 644

D2 = √(644)

D2 = 2√(161)

D2 ≈ 25.4 ft

exis [7]3 years ago
4 0

Answer:

25.38

Step-by-step explanation:

Its a 3-D block, so you have to find the distance from on corner to the opposite corner of the roof, but first find the distance from corner to corner on the floor.

20^2+12^2=c^2

400+144=544=c^2

c=\sqrt{544}

then find corner of floor to opposite roof corner.

100+544=644=c^2

c=\sqrt{644}

so its about 25.38 feet

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Answer: the system of equations that represents this situation are

12x + 6y = 180

x = 2y

Step-by-step explanation:

Let x represent the number of hardcover books that were sold in a day.

Let y represent the number of paperback books that were sold in a day.

The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that

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The number of hardcover books sold that day was twice the number of paperback books. It means that

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Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?
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Answer:

the value of a such that  there is no solution to the equation is a = -4.

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if a is eliminated in the process and an absurd is the result (i.e. 0 = 7).

2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)

2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24

2\cdot a \cdot x+6=-8\cdot x-24

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a = -4

Let prove the certainty of the result. We find that an absurd exist: (a = -4)

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Step-by-step explanation:

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Answer:

See Explanation

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