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:
Collin is 37.5 and Sara is 47.5
Step-by-step explanation:
s+c=85
c+10=s
(c+10)+c=85
2c+10=85
2c=75
c=37.5
s+(37.5)=85
s=47.5
Answer:
For 9 the answer is (4)
For 11 the answer is (5)
For 14 the answer is (4)
I cant see number 16 so maybe retake the photo thanks!
Step-by-step explanation:
9. squares have two sets of parallel lines
11. The only quadrilateral that has 3 different side lengths on this list is a trapezoid
14. It has no right angles meaning its not a square or rectangle. It has two sets of parallel sides meaning its not a trapezoid, and since it gives two different side lengths its not a rhombus since all sides muse be congruent to be a rhombus. The only one that matches is 4 a parallelogram
Answer:
2 using PEMDAS
Step-by-step explanation:
First, I would round all numbers (to the nearest tenth).
183 rounds to 180
76 rounds to 80
15 rounds to 20
29 rounds to 30.
Now plug those numbers into the equation.
180/(80-20)+30
Using PEMDAS, I solve the parentheseis first.
80-20=60.
180/60+30
Then, add 60+30.
60+30=90.
you get 180/90.
180/90=2.
