Answer:
5 and 13
Step-by-step explanation:
1) If we call the larger number x and the smaller y we can write two equations.
y= x - 8 and x - 3=2y
2) we can substitute the x-8 in for the y in the second equation.
x-3=2(x-8)
3) by distributing and simplifying we find that x=13
4) To find y we need to plug x back into the first equation.
y=13-8
y=5
Answer:
θ = 0°
θ = 30°
θ = 150°
θ = 180°
Step-by-step explanation:
2sin² θ = sin θ
Then
2sin² θ - sin θ = 0
Then
sin θ (2sin θ - 1) = 0
Then
sin θ = 0 or 2sin θ - 1 = 0
Then
sin θ = 0 or sin θ = 1/2
…………………………………………
We have sin θ = 0 and - 270° ≤ θ ≤180°
Then
θ = 0 or θ = π = 180°
On the other hand,
sin θ = 1/2 and - 270° ≤ θ ≤180°
Then
θ = π÷6 or θ = 5π÷6
π÷6 = 30° and 5π÷6 = 150°
-4 1/2 divided by 3-4 = 5.5
Answer:
$4.59
Step-by-step explanation:
At the sale price:
5 paints set cost Jasmine $16.45
Each paint set = Total cost of 5 paints set / 5
= $16.45 / 5
= $3.29
What was the price of 1 paint set before the sale?
Because the store reduces the price of each paint set by $1.30 before selling, we will add $1.30 to the price of each paint set during sales
Price of each paint set during sales = $3.29
price of 1 paint set before the sale = $3.29 + $1.30
= $4. 59
What exactly is n? I need to know n so I can figure out m.