Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
Ratio of complement of x : supplement of x
2 : 5
⇒ 2 times the supplement of x will be equal to 5 times the complement of x
5(90 - x) = 2 (180 - x)
450 - 5x = 360 - 2x
5x - 2x = 450 - 360
3x = 90
x = 30°
Complement of x = 90 - x = 90 - 30 = 60
Supplement of x = 180 - x = 180 - 30 = 150
Ratio:
60 : 150
60 ÷ 30 : 150 ÷ 30
2 : 5 (checked)
Answer:
8.733046.
Step-by-step explanation:
We have been given a definite integral 
. We are asked to find the value of the given integral using integration by parts.
Using sum rule of integrals, we will get:
We will use Integration by parts formula to solve our given problem.
Let 
and 
.
Now, we need to find du and v using these values as shown below:
Substituting our given values in integration by parts formula, we will get:
Compute the boundaries:
Therefore, the value of the given integral would be 8.733046.
