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andrew-mc [135]
3 years ago
8

Alejandro has three ladders that are 15, 10, and 12 feet in length. If he is trying to reach a window that is 8 feet from the gr

ound then...
Part A: How far does the bottom of the ladder need to be for the 15-foot ladder?

Part B: How far does the bottom of the ladder need to be for the 10-foot ladder?

Part C: How far does the bottom of the ladder need to be for the 12- foot ladder?
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0
Pythagorean theorem: a^2+b^2=c^2

8^2+b^2=15^2
12.69ft.

8^2+b^2=10^2
6ft.

8^2+b^2=12^2
8.94ft.
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20 What decimal does this model represent? Explain.
umka2103 [35]

Answer:

The model represents the decimal 73.

Step-by-step explanation:

The model is 10x10. You must count the blue blocks. The number of blue blocks is 73, therefore it represents the decimal 73. (Hope this helped!)

8 0
3 years ago
Determine the domain and range of the graph.
nirvana33 [79]

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

4 0
3 years ago
"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
4 years ago
Video games cost $23 each. Jake purchased 5 video games for $115.
11Alexandr11 [23.1K]
The equation for this is 23x5=115
6 0
3 years ago
What is the value of this expression when b=5?<br><br> 6(2b-4)
Taya2010 [7]
6(2(5) - 4)
6(10 - 4)
6(6)
36
4 0
3 years ago
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