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!
Step-by-step explanation:
y=2.5| ?
x=0.5| 20
It'll be criss-crossed then it'll be:-
2.5×20=50
It is given in the question that
Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.
Let the cost of pencil is $ x .
Therefore cost of pen is
According to the question
Distributing 12 and combining like terms, we will get
Therefore cost of pencil is $0.35 and cost of pen is
Answer:
$47.92
Step-by-step explanation:
20% discount: $599 * 80% = $479.2 before tax
15% tax added: $479.2 + $71.88 = $551.08
Saved money: $599-$551.08= $47.92
Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
- The equation is 89 = x + (x-9).
- Remove the parenthesis and combine the like terms. 89 = 2x - 9
- Add 9 on both sides. 98 = 2x
- Divide by 2 on both sides. x = 49
- 49 is the age of Alvin. (49-9) 40 is the age of Elga.
