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Yakvenalex [24]
2 years ago
9

Hoover Dam on the Colorado River casts a shadow that is 2,904 feet long. At the same time, an 18-foot-tall flagpole next to the

dam casts a shadow that is 72 feet long. How tall is the Hoover Dam?
Mathematics
2 answers:
Reika [66]2 years ago
7 0

Answer:

  726 feet

Step-by-step explanation:

Object height and shadow length are proportional, so you have ...

  (object height)/(shadow length) = (18 ft)/(72 ft) = (dam height)/(2904 ft)

Then the dam height is ...

  dam height = (2904 ft)(18/72) = 726 ft

Hoover Dam is 726 feet high.

kari74 [83]2 years ago
4 0

In 1905 the Colorado River flooded parts of Nevada. It ruined crops, roads, and buildings. Water covered the land for an entire year. To stop the flooding, the construction of the Hoover Dam began. The dam controlled the river and brought water to the cities. It was completed in 1935. It took 5,000 workers and 5 years to build. Hoover Dam is 1,244 feet long and 726 feet high.

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I need help please explain how to do these two question as I did the rest of them. I just don't understand these.
Alexxandr [17]

Answer:

7. (4x +10)/(x^3 +3x^2 -16x -48)

9. -320/93

Step-by-step explanation:

7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.

6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))

= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator

= (6x +18 -2x -8)/((x -4)(x +3)(x +4))

= (4x +10)/((x^2 -16)(x +3))

= (4x +10)/(x^3 +3x^2 -16x -48)

_____

9. First you simplify the denominator:

2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400

Then you perform the division. This can be done by multiplying by the inverse of the denominator.

(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93

6 0
3 years ago
Write as a sum, difference or<br> multiple of logarithms.<br> In(8x) = [ ? ]8+ [ ]x
deff fn [24]

Answer:

In(8x)=[In]8 + [In]x

Step-by-step explanation:

By product rule:

In(8x)=[In]8 + [In]x

8 0
2 years ago
Caroline drove 350 miles. It took her 5 1/4 hours. what was her speed per miles
Helen [10]

Around 70mph count 50miles per 10mph and you’ll get 70mph by the you hit 350miles

8 0
2 years ago
Find x and y ! <br><br> pls help giving 50 points !!
Natasha_Volkova [10]

Answer:

y = 20°

x = 35°

Explanation:

Equation's:

   1) 2y + x + 105° = 180°

   2) 3x + x + 2y = 180°

Make y subject in equation 2

3x + x + 2y = 180

4x + 2y = 180

2y = 180 - 4x

y = 90 - 2x

Insert this into equation 1

2(90 - 2x) + x + 105° = 180°

180 - 4x + x + 105 = 180

-3x = -105

x = 35°

Find value of y

y = 90 - 2x

y = 90 - 2(35)

y = 20°

4 0
1 year ago
Read 2 more answers
I NEED HELP ASAP!!!!!
viva [34]

Answer:

1 is 12

2 is 1/2 and 3/4

3 is 802,083

4 is 96

5 is 23

6 is 2/3

3 0
3 years ago
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