Answer:
Yes, he has enough money and your simplified answer is below. If I'm wrong correct me or give me a comment.
Step-by-step explanation:
15 - 9 + 2.65 + 1.35 + 2(1.74) Multiply first.
15 - 9 + 2.65 + 1.35 + 3.48 Then just add or subtract from the left to the right
6 + 2.65 + 1.35 + 3.48
8.65 + 1.35 + 3.48
10 + 3.48
13.48 would be the simplified answer.
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.
20 knots * 1.151 = 23.02 miles per hour There are 1,760 yards in a mile and 3,600 seconds in an hour. So, we multiply 23.02 * (1,760 / 3,600) which equals
11.2542222222 yards / second
102 + 31 = 133
180 - 133 = 47
Your missing angle is 47.
Hope this Helps!!
Good Luck!!
Step-by-step explanation:
Xm = (-3+3)/2 = 0/2 = 0
Ym = (2-2)/2 = 0/2 =0
so, the midpoint (Xm, Ym) is (0 , 0)
