Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4
Answer: 3:4
Step-by-step explanation: There are 6 red grapes and 8 blueberries. So this would make the ratio 6:8 normally. You want to find the biggest number that goes into 6 and 8, which is 2. You divide both by 2 and get 3:4, since both don't have a big number that goes into both, your answer is 3:4
