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SIZIF [17.4K]
3 years ago
13

a man standing 20m from a tower estimates the angles of elevation of the top and bottom of a flagpole on the tower as 58° and 55

°. calculate the height of the flagpole
Mathematics
1 answer:
schepotkina [342]3 years ago
7 0
60.56ft

You can get this by creating right triangles with the adjacent side as 20 and using the angles given. You can then find the opposite sides using tangents and then simply add them together. <span />
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The answer is 5:4, so A.
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<em>You would need 10 yards of fabric</em>

Step-by-step explanation:

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Which ordered pair makes both inequalities true?
kow [346]

An ordered pair which makes both inequalities true is (-1, -3).

<h3>What is an ordered pair?</h3>

An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-3, 5), we have:

y < –x + 1

5 < -(-3) + 1

5 < 3 + 1

5 < 4 (False).

For ordered pair (-2, 2), we have:

y < –x + 1

2 < -(-2) + 1

2 < 2 + 1

2 < 3 (True).

y > x

2 > -2 (True)

For ordered pair (-1, -3), we have:

y < –x + 1

-3 < -(-1) + 1

-3 < 1 + 1

-3 < 2 (True).

y > x

-3 > -1 (False)

For ordered pair (0, -1), we have:

y < –x + 1

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1 < 1

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y > x

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Read more on inequality here: brainly.com/question/27166555

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5 0
1 year ago
Find Mean, Median, mode and range. Round to the nearest tenth.
stiv31 [10]

Answer:

  • Mean = 26.24
  • Median = 27
  • Mode = 32
  • Range = 38

Step-by-step explanation:

Plotting the original data from leaf plot

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

<em><u>Finding Mean:</u></em>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                                            \mu=\frac{446}{17}

                                                                = 26.24

Therefore, the range = 26.24.

<u>Finding Median:</u>

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47  

So, the median is 27 .

<em><u>Finding Mode: </u></em>

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

We see that the mode is 32.

<em><u>Finding Range:</u></em>

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

The lowest value is 9.

The highest value is 47.

The range = 47 - 9 = 38

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Answer:

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Step-by-step explanation:

good love you

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4 years ago
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