Answer:

Step-by-step explanation:
We have F´ =500 and
=30º, so x and y components:
F´ =
this is

;
Finally
F' = 
Answer:
-3
Step-by-step explanation:
<span>The measure standard deviation quantifies the amount of variation or dispersion of a set of data values.</span>The standard deviation is the square root of the variance.
The standard deviation in this case is 50/ sqrt(100)= 50/10=5.
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x