1 answer:
Answer:
<u>Given</u>
- Equation 5x - y = 12
and
- Inequality 5x - y > 12
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line for the inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".
We can state that the inequality excludes the line and includes only the region above the same line.
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Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
