cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.
Answer:
Perpendicular
Skew
Parallel
Step-by-step explanation:
First one : the lines intersect and they form right angles
The second one : they don't intersect and appear on separate planes
The last : they are both sides of a rectangle on the same plane
Answer:
Negative 2.
Step-by-step explanation:
2x -1 would have an outcome of a negative number since 2 is positive and one is negative. if they were both positive numbers or negative numbers then the answer would be positive
360/6 = 60 degrees.
2pi/6 and pi/3 makes sense.
Out of 1/6 = 60 there's your answer.
Brainliest please!
