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andriy [413]
3 years ago
9

Karen wanted to measure the height of her school's flagpole. She placed a mirror on the ground 44 ft from the flagpole, and then

walked backward until she was able to see the top of the pole in the mirror. Her eyes were 5 ft above the ground and she was 12 ft from the mirror. Using similar triangles, find the height of the flagpole to the nearest hundredth of a foot.
Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:140

Step-by-step explanation:

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Write the slope-intercept form of the equation of each line?
Ivenika [448]

Problem 1

It appears the line is going through the points (-1,-4) and (0,5)

Let's find the slope

(x_1,y_1) = (-1,-4) \text{ and } (x_2,y_2)  = (0,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - (-4)}{0 - (-1)}\\\\m = \frac{5 + 4}{0 + 1}\\\\m = \frac{9}{1}\\\\m = 9\\\\

The slope is 9

The y intercept is b = 5 as this is where the graph crosses the y axis.

We go from y = mx+b to y = 9x+5

<h3>Answer:   y = 9x+5</h3>

=======================================================

Problem 2

This line goes through the points (0,4) and (5,5)

We'll follow the same exact steps as before

First we need the slope

(x_1,y_1) = (0,4) \text{ and } (x_2,y_2)  = (5,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 4}{5 - 0}\\\\m = \frac{1}{5}\\\\

The y intercept is the y coordinate of (0,4) so it's b = 4

<h3>Answer:  y = \frac{1}{5}x+4</h3>
4 0
2 years ago
three outn of every five cookies on a cookie tray are oatmeal rasin cookies if there are 45 cookies on the tray predict how many
Elden [556K]
27 are oatmeal raisins, because of 45=5*9 then  3*9=27. You could also do this by doing a chart where I put 5 circles on the side and 9 circles on the top and made a total of 45 circles. Then I colored 3 out of 5 and got 27 colored, or you can just do the multiplication way. 
4 0
3 years ago
What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer
Tasya [4]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}

3 0
2 years ago
Answers please! Thanks.
Naddika [18.5K]

Answer:(forty-three million eighty hundred seven hundred

Step-by-step explanation:

6 0
4 years ago
I NEED HELP, Order the rational numbers from least to greatest.
madam [21]

Answer:

-2.1 , 1.1 , 2.2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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