I think that it’s A) 2/5. I just multiplied the fractions with each other.
Step-by-step explanation:
I think we are missing some information (angle F or B or a side length would be great).
but just the right angles are not enough to calculate specific numbers. they would depend on the angle F or e.g. the side length of AB.
without any further information F and AB can be freely changed without changing the known facts, but it changes also C, B, G
so, all I can say is C = 180 - B.
and that G = B.
Answer:
-3, -7
Step-by-step explanation:
either x + 3 = 0 --> x = -3
or x + 7 = 0 --> x = -7
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
Answer:
y > 24 − 3x
Step-by-step explanation:
Step 1: First, you need to factor out the common term 2.
2 (3x + y) > 48
Step 2: Then, you divide both sides by 2.
Step 3: Next, you have to simplify 
into 24.
3x + y > 24
Step 4: Lastly, subtract 3x from both sides and you're done!
y > 24 − 3x
