Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.
Method.
The exterior angles of a regular figure add up to 360°.
Step One
Find out the size of the exterior angles of a regular pentagon.
There are 5 such angles. They add up to 360°
5x = 360 Divide by 5
x = 360 / 5
x = 72°
Step Two
Find out the value of the interior angles of a pentagon.
Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180° Subtract 72 from both sides.
Interior Angle = 180° - 72°
Interior Angle = 108°
Step Three
Solve for y.
There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°
y + 3*interior angles = 360°
y + 3*108 = 360
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°
It is 0.088 this is just for the 20 characters so dont read this fhehfhryhfrhuehhfuyrhuyhfhefheufrhfyer
Basically speaking, a fractional notation is the same as a fraction itself. Thus, the best way to express the given problem in here would be to turn it into a fraction. Since the given variable is a mixed number, meaning that it is a whole number and a fraction combined, it can be turned into just a fraction or more specifically, an improper fraction. To do this, we have to take the denominator and multiply it to the whole number. After that, the product would be added to the numerator. The sum would be the new numerator and the denominator would remain the same. Thus, the answer would be 41/8
What we know:
1/6 = what Cody wathed
1 stands for the unit that cody has watched a move (minutes)
6 = stands for the entire length of the movie (minutes)
Tharefore: If 6 stands for the entire length of the movie the movie is equal to 3 hours. However we are giving the unit in minutes not in hours, it would be:
3 x 60 = 3 stands for the ours 60 stands for minutes in an hour. That equals to 180.
This means that the 6 = 100% = 180min of the movie.
To figure what 1 stands for we need to divide 1/6. That will equal to 0.1(6). 0.1(6) x 180 (minutes of the entire movie) = 30 which would be the answer. Here is what you should have done using mathematical communication:
converting 3 h to minutes:
3 x 60 = 180 minutes
180 = the length of the entire movie
1/6 = 0.1(6)
0.1(6) x 180 = 30
... 30 /180 is the fraction of minutes that Cody spend watching the movie
in other words Cody just spent 30 min watching the movie.
238 rounded to the nearest ten would be 240 because 8 is bigger than 5. So since its bigger we move the tens place (3) a number ahead (4).
Thats how we get 238 rounded to the nearest ten would be 240.
Hope I helped ya!!
