It would most likely take 3-4 hours, maybe even 5.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x = 
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified
The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively
The formula for calculating the resultant vector is expressed as:

Given the following distances:
u = -5√3 feet (west direction)
v = 5 feet
Substitute the given values into the formula above;

The magnitude of the resultant vector is 10feet
Get the direction:

Since tan is negative in the second quadrant, hence;

Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.
Learn more here: brainly.com/question/5177683
Answer: 
Step-by-step explanation:
For this exercise you need to use the following formula to solve this exercise, which is used to calculate the voume of a cone:

Where "r" is the radius and "h" is the height of the cone.
In this case, based on the information given the exercise, you can identify that:

Knowing those values, you can substitute them into the formula:

Finally, evaluating, you get the following result:

Therefore,
will fit in the cone.