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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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A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.

<h2><u>14in </u></h2>

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Answer:

{10}^{ - 14}

Step-by-step explanation:

\huge\frac{ {10}^{ - 9} }{ {10}^{5} }  \\  \\  \huge =  {10}^{ - 9}  \times  {10}^{ - 5}  \\  \\  \huge =  {10}^{ - 9  + ( - 5)}  \\  \\ \huge =  {10}^{ - 9 - 5}  \\  \\  \huge \orange {=  {10}^{ - 14}}

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7 0
3 years ago
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar
Lilit [14]

Answer:

C) 11

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:

n=(\frac{z_{\alpha/2} s}{ME})^2  

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8 0
3 years ago
Determine all critical points for the following function. f(x)=x2−14x+1
melomori [17]

9514 1404 393

Answer:

  (x, y) = (7, -48)

Step-by-step explanation:

A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.

The slope is zero were f'(x) = 0.

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The critical point is (7, -48).

4 0
2 years ago
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