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Anettt [7]
3 years ago
10

A 12 foot pine tree cast a shadow 2 feet long (the sun is high in the sky.) at the same time, a building casts a shadow 9 feet t

all
how tall is the building?

please help!
Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer: The building is 54 feet tall.

Step-by-step explanation:

  1. Set up a proportion. It should be 12/2 = x/9.
  2. Simplify the proportion to 2x = 108.
  3. Divide 2 to both sides of the equation. The solution should be x = 54.
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If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?
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Answer:

  B.  (13√2)/2

Step-by-step explanation:

Let L represent the length of one leg of the triangle. We note that the triangle is isosceles, so both legs are the same length. Then the Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

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_____

To "rationalize the denominator", we multiply the fraction 13/√2 by (√2)/(√2). The result is (13√2)/2.

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2. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. Show your work for
kipiarov [429]

Answer:

y = 5.5x - 17

Step-by-step explanation:

(4,5)(2,-6)

  • M = ∆y/∆x
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