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Tpy6a [65]
3 years ago
11

What are four consecutive odd integers with the sum of 232

Mathematics
1 answer:
zvonat [6]3 years ago
7 0
Four consecutive odd integers, eh? Let x be the first of these odd integers. The next odd integer is thus <span>x+2</span>, and the next is <span>x+4</span>, and the last is <span>x+6</span>. The sum of all four of these is 232, so you have <span><span><span>x+x+2+x+4+x+6=232</span><span>4x+12=232</span></span></span>
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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
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Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

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So the object of this problem is to find out the value of d.

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No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

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5+3=4(2)
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3 years ago
Read 2 more answers
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