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Show how you can make a ten to find the sum 8+9
1 answer:
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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:
Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
So, let's solve both inequalities.
1)
Subtract 10 from both sides:
Divide both sides by 2:
2)
Subtract 10 from both sides:
Divide both sides by 2:
So, our inequality is now:
Since we solved the equations:
Written as a compound inequality, this is:
In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.