Love that would be the answer
Step-by-step explanation:
sin ∅ = -(√3)/2
Note that
cos²∅ + sin²∅ = 1
cos²∅ = 1 - sin²∅
= 1 - (-√3 / 2)²
= 1 - (-√3)²/ 2²
= 1 - 3/4
= 1/4
cos²∅ = 1/4
Taking square root of both sides
cos∅ = 1/2
Note that tan∅ = sin∅/cos∅
therefore, tan∅ = -(√3)/2 ÷ 1/2
= -(√3)/2 × 2/1
= -√3
tan∅ = -√3
Since sin∅ = -√3 /2
Then ∅ = -60⁰
The value of ∅ for the given range (third quadrant) is 240⁰.
NB: sin∅ = sin(180-∅)
Also, since 180⁰ is π radians, then ∅ = 4π/3
Answer:
x = 1, y = 1
x = -2, y = -8
x = 3, y = 7
Step-by-step explanation:
Julie wants to buy cartons of apple juice with $55. Each carton costs $3.75.
Let x be the number of cartons she can buy.
3.75x =< 55
Divide both sides by 3.75
3.75x / 3.75 =< 55/3.75
x =< 14.66666
Of course, she can't buy 14.666 cartons so we can the integer part only. Julie can buy 14 cartons of Juice.
Hope this helps! :D
5/50 step-by-step explanation: