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love history [14]
3 years ago
10

A floodlight red light at ground level Shines on a 4 ft tall Bush that is 6 ft away the bush cast a shadow on a building that is

24 feet away from it what is the height of the Shadow
Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Set up the proportion as follows: \frac{bush (height)}{bush (length)} = \frac{building (height)}{building (length)}, then cross multiply to solve.

\frac{4}{6} = \frac{x}{24}

4(24) = 6(x)

4(4) = x         <em>(divided both sides by 6)</em>

16 = x

Answer: 16 ft

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3 years ago
The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Arturiano [62]

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are \frac{1}{2x + 1 }    and \frac{1}{2x + 3 }

\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

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