The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus
. A whole side of the triangle is
. Multiply that by 3 to get the perimeter of <span>
.</span>
Answer:
25%
1/4
Step-by-step explanation:
There are 40 beans in total. Only 10 of those are orange and lemon flavored.
Answer:
The 2 numbers are 14 and 17.
Step-by-step explanation:
Let the 2 numbers be x and y.
x + 11 = 2y
x - 2y = -11...............A
y +20 = 2x
2x - y = 20 ...............B
Multiply equation A by -2:
-2x + 4y = 22............C
Adding B and C :-
3y = 42
y = 14.
Substitute y = 14 in equation A:
x - 2(14) = -11
x = -11 + 28
x = 17.
Answer:
i=7.6h, 60.8 inches (B)
Step-by-step explanation:
Answer:
Top right graph.
Step-by-step explanation:
The graph of f(x) = x has a slope of 1, and is increasing to the right until the point where x = -1.
The graph of f(x) = -x has a slope of -1 decreasing to the right from the point where x = -1.
The clear small circle means that the point is not included in the function ( because of the '<' ).
The filled circle means it is included ( the '≥').
