Answer:
Y = 15sqrt(3)/4
Z = 15sqrt(3)/2
b = 45/4
Step-by-step explanation:
Sin(60) =Z/15
sqrt(3)/2 = Z/15
Z = 15sqrt(3)/2
Sin(30) = Y/Z
½ = Y/Z
Y = ½(15sqrt(3))/2 = 15sqrt(3)/4
Cos(30) = b/Z
sqrt(3)/2 = b/Z
b = 15sqrt(3)/2 × sqrt(3)/2
b = 45/4
sqrt is square root/radical
2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71
The unknown angles are each 71
You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same
Stationary points occur where the derivative is zero. The denominator is positive for all
, so we only need to worry about the numerator.
for all
, so we can divide through:
But
for all
, so this function has no stationary points...
I suspect there may be a typo in the question.
Answer:
and 
Step-by-step explanation:
We have the next set of functions:
We want to know M(T) then:
but we know that :
and we know that
Finally using the value of 22º we have
