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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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<em>Answer:</em>

<em>There would be 173,535 lionfish after 6 years.</em>

<em>Step-by-step explanation:</em>

<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>

<em></em>

<em>A)</em>

<em>8000 x 1.67 ^ n = f  </em>

<em>B)</em>

<em>8000 x 1.67 ^ 6 = X</em>

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<em>173,535.692770952 = X  </em>

<em>C)</em>

<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>

<em>Therefore, there would be 173,535 lionfish after 6 years.</em>

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2 years ago
Solve for x. <br><br> 3(x + 5) - 2(x + 2) = 20
IRINA_888 [86]
[tex] 3(x + 5) - 2(x + 2) = 20 \\
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3 years ago
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Step-by-step explanation:

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Here is some helpful information from my mini lessons.

Step-by-step explanation:

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3 years ago
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