Answer:
Step-by-step explanation:
The tangent is the Opposite over the Adjacent sides. (SOHCAH<u>TOA</u>).
Opposite/Adjacent = 4/9 = 0.44444
The angle whose tangent is 0.44444 is 23.96 or 24 degrees (round to nearest tenth).
Answer:
Inequality: ![x+10\leq 12](https://tex.z-dn.net/?f=x%2B10%5Cleq%2012)
Inequality solved: ![x\leq 2](https://tex.z-dn.net/?f=x%5Cleq%202)
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:
![x+10\leq 12](https://tex.z-dn.net/?f=x%2B10%5Cleq%2012)
In order to solve it, you must subtract 10 from both sides:
![x+10-10\leq 12-10\\\\x\leq 2](https://tex.z-dn.net/?f=x%2B10-10%5Cleq%2012-10%5C%5C%5C%5Cx%5Cleq%202)
Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Graph it on the Ti-84 and use the trace function to find the intersection.
The answer is
(-3,3)