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Yakvenalex [24]
3 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]3 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]3 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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If sasha had 85 cookies, and she divided it among 12 people and fraction it in simplest form. What is the answer?
dezoksy [38]

Answer:

Each person gets 7 cookies.

Step-by-step explanation:

Total cookies: 85

Total people will receive cookies: 12

\frac{85}{12} = 7.08

If we estimate it to the whole number, that means each person will get 7 cookies.

8 0
2 years ago
Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5​
Bond [772]

Answer:

The solution to the equation system given is:

  • <u>x = 2</u>
  • <u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

  1. 2x + 3y = 1
  2. 3x + y = 5​

Following Crammer's Rule, we have the matrix form:

\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Now we solve using the determinants:

x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2

y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

  • 2x + 3y = 1
  • 2(2) + 3(-1)= 1
  • 4 - 3 = 1
  • 1 = 1

And, with the second equation:

  • 3x + y = 5​
  • 3(2) + (-1) = 5
  • 6 - 1 = 5
  • 5 = 5

 

4 0
3 years ago
Please help this is really hard
DedPeter [7]
The answer is 125,000,000

Have a great day!
5 0
3 years ago
Why is y=-12.5x have a proportional relationship
Natalka [10]

Answer:

A proportional relationship is any relationship that stays constant. since both sides of the equation do not change, this is a proportional relationship

8 0
3 years ago
What do the dots above the number 3 respresent?
nydimaria [60]

Answer:

the dots represent how many people have 3 email accounts. In this case 5.

Step-by-step explanation:

It is the 3rd one. There are exactly 5 students with 3 email accounts.  

Let me know if it was helpful.

5 0
4 years ago
Read 2 more answers
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