Perimeter of rectangle is 2L + 2W
perimeter is 296
length of field is 79
Solve
2L + 2W = 296
2(79) + 2W = 296
158 + 2W = 296
2W = 296 - 158 = 138
W = 138/2 = 69 yards
Answer:
Step-by-step explanation:
Given
Required
The equivalent expression
We have:
Expand
Further expand
Apply laws of indices
0.19992 because u need to times the digits
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:
1st odd = 57
2nd odd = 59
3rd odd = 61
Step-by-step explanation:
Suppose the numbers to be:
1st odd = x -2
2nd odd = x
3rd odd = x +2
Now according to given conditions:
1st odd + 2nd odd + 3rd odd = 177
x - 2 + x +x + 2 = 177
By add -2 and + 2 will be cancelled
Adding all x
3x = 177
Dividing both sides by 3 we get
x = 177 / 3
x = 59
Now putting x = 59 to get three consecutive odds:
1st odd = x -2 = 59 - 2 = 57
2nd odd = x = 59
3rd odd = x +2 = 59 + 2 = 61
Proof:
1st odd + 2nd odd + 3rd odd = 177
57 + 59 + 61 = 177
177 = 177
hence proved
I hope it will help you!
