Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
The answer would be D, because you do 4200÷56=75 minutes. 75 minutes= 1 hour and 15 minutes
Answer:
The coordinates of B' and C' are 
and 
, respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
(1)
Where:
- Original point, dimensionless.
- Translation vector, dimensionless.
- Translated point, dimensionless.
If we know that 
and 
, then the translation vector is:
(2)
If we know that 
, 
and , then the translated points are, respectively:
(3)
The coordinates of B' and C' are and , respectively.
If one kilogram is equal to 35.274 then just multiply 1.5 by 35.274.
1.5 * 35.274 = <span>52.911</span>
