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irina1246 [14]
3 years ago
12

A map shows the number of steps you must take to get to a treasure. However, the map is old, and the last dimension is unreadabl

e. A map shows two right triangles share a base their bases meet at a vertex. The larger right triangle has sides labeled 250 steps and 300 steps. The smaller right triangle has one side labeled 80 steps. The lengths 240 steps and 80 steps form a horizontal line and the hypotenuses of the two triangles form a single line that intersects the horizontal line.

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

100 steps

Step-by-step explanation:

  • See the picture attached.
  • Both triangles and 90°
  • Equate opposite sides as follows.

\frac{300}{x} = \frac{240}{80}

240x = 24000

x = 100

hence 100 steps

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Answer:

444 is coterminal to 84

Step-by-step explanation:

Just subtract 360 from 444 and you have your answer

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Two companies working together can clear a parcel of land in 27 hours. Working alone, it would take Company a 2 hours longer to
algol13

Answer:

53 hours

Step-by-step explanation:

If A is the time it takes Company A, and B is the time it takes Company B, then:

1/27 = 1/A + 1/B

A = B + 2

Substitute and solve:

1/27 = 1/(B + 2) + 1/B

1/27 = (B + B + 2) / (B (B + 2))

1/27 = (2B + 2) / (B² + 2B)

27 (2B + 2) = B² + 2B

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0 = B² − 52B − 54

B = [ -(-52) ± √((-52)² − 4(1)(-54)) ] / 2(1)

B = (52 ± √2920) / 2

B ≈ 53.0

It would take Company B approximately 53 hours.

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3 years ago
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#13:

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#14:

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*Note: You can check my work by pluging in each result I got for x back into the equation and solve. If both numbers on each side of the equal sign match, that means I'm right.

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