Answer:
tanΘ = - 
Step-by-step explanation:
Using the trigonometric identities
• sin²x + cos²x = 1, hence
cosx = ± √(1 - sin²x )
• tanx = 
given sinΘ = 
, then
cosΘ = ± 
Since Θ is in the second quadrant where cosΘ < 0, then
cosΘ = - 
= - 
= - 
tanΘ = 
= × - 
= -
0.19 for one cookie and 0.59 for one doughnut
x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23
solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59
Check the work: 6(0.19)+4(0.59)=3.5
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
