Answer:
cotθ =

Step-by-step explanation:
sine = opposite / hypotenuse
cotangent = adjacent / opposite
So first we have to solve for the adjacent side b, using pythagorean theorem





cotangent = adjacent / opposite
cotθ =

Answer:
y = 72.5 cm
Step-by-step explanation:
We know that tan theta = opposite/ adjacent
tan 30 = x/y
tan 30 =36.25/y
Multiply each side by y
y tan 30 = 36.25y/y
y tan 30 = 26.25
Divide each side by tan 30
y tan 30 / tan 30 = 36.25/tan 30
y = 36.25/ tan 30
y =72.5
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
By pythagorean theorem
a^2+b^2=c^2
We can find that PL is 12.65
and then by altitude theorem
MA*LA=PA^2
we can find the value of MA
12MA=16
MA=1.33
then by the pythagorean theorem
we can use to find PM
MA^2+PA^2=PM^2
so PM=4.22
then to find the are you multiply length by width
PM*PL
12.65*4.22
So the area is 53.38