Answer:
93.39
Step-by-step explanation:
So the sum of exterior angles of the convex octagon is: 360 degrees
This means if we add all the equations that represent each angle, we can set it equal to 360 and solve for x
Group like terms
Add like terms
Now let's set the sum of exterior angles to 360
Subtract 2 from both sides
Divide both sides by 23
So by looking at all these, it appears that 6x is the highest value, given that x is positive. The way I estimated, is approximately 15.5, whenever I saw an equation like x+14, I estimated it's about 2x, since 14 is not exactly, but close to 15.5. I did this with each polynomial given. You could also manually check each one
Original equation
6x
Subsitute
6(15.565)
Simplify
I only know this because I remember the common fractions, and 1/3 is .3333 repeating.
Answer:
87.72%
Step-by-step explanation:
Data provided in the question:
Design capacity of the system = 1900 students per semester
Effective capacity = 90% of design capacity
Actual number of students = 1500
Now,
Efficiency = [ [ Actual capacity ] ÷ [ Effective capacity ] ] × 100%
also,
Effective capacity = 90% of 1900
= 0.90 × 1900
= 1710
Efficiency = [ 1500 ÷ 1710 ] × 100%
= 0.8772 × 100%
= 87.72%
The measures of the angles in a triangle add up to 180°.