Answer:
40°
Step-by-step explanation:
The reference angle is the positive acute angle created by the terminal arm and the x-axis.
The highlighted red in the picture below shows what we're looking for.
The arm rotated 220° (but 'backwards' so the value given is negative).
|-220°| - 2(90°) <= Subtract two right angles for two quadrants
= 220° - 2(90°)
= 220° - 180°
= 40°
Therefore, the reference angle is 40°.
If you got 50°, you probably calculated the angle with the terminal arm and the y-axis. Remember to always use the nearest side of the x-axis!
Answer:
C
Step-by-step explanation:
|2x - 2| < 8
it implies that
2x - 2 < 8
2x -2 + 2 < 8 + 2
2x < 10
x < 5
or
-(2x - 2) < 8
-2x + 2 < 8
-2x + 2 - 2 < 8 - 2
- 2x < 6
x > -3 ( the sense of the inequality reverse because I divided by minus)
The solution can be combine to
-3<x<5
Answer:
<h2><em>29.4 length and 21.4 width.</em></h2>
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:
.
In addition, we know that the total area is 970 and the length is 8 ft longer than the width (
). So:

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions:
and
Therefore, the width is 21.4 ft, because the negative number cannot represent distances.
Using the relation between length and width:

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>
Answer:
You can split your cracker 4 ways. So each cracker is now 4. Now split your cracker into 4ths, 5•4 = 20! Hope this helps!
Step-by-step explanation:
Your Crackers have those lines, and they split 4 ways. SO this helps make the problem easierto solve.