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:
75.36 inches
Step-by-step explanation:
- C = 2πr
- C = 2 × 3.14 × 12
- 2 × 3.14 = 6.28 in.
- 6.28 × 12 = 75.36 in.
I hope this helps!
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar we can find x using similarity ratio
14/8 = (x+6)/(x-3) simplify first expression
7/4 = (x+6)/(x-3) cross multiply expressions
7×(x-3) = 4×(x+6)
7x-21 = 4x + 24 add like terms
3x = 45
x = 15
Answer:
127.31
Step-by-step explanation:
formula=3√3/2 a^2