.we can call segment "a" the radius, and if we do that, we calculate the area of the triangle as follows:
Look at the vertical line bisecting the triangle, made up of segments of length "a" and "h"
Now look at the smaller, right triangle towards the bottom left of the equilateral triangle, with sides "a", "h", and "S/2".
If we're taking "a" to be the radius (in our case 6 inches), then
h
a
=
sin
30
degrees, so
h
6
=
0.5
, so h = 3 inches. Therefore the height of the equilateral triangle is
6
+
3
=
9
inches.
The original equilateral triangle in the figure is bisected by the vertical line, making 2 right triangles of height 9 inches and a base of length S/2.
S
2
a
=
cos
30
, so
S
2
=
0.866
⋅
6
=
5.196
inches (rounding).
So, the original equilateral triangle in the figure is twice the area of this larger right triangle. A right triangle's area is
1
2
b
⋅
h
. We have TWO of them, so the total area is
2
⋅
1
2
b
⋅
h
=
5.196
⋅
9
...which works out to:
46.77 square inches (rounding)
GOOD LUCK
I think it's the 2 one I'm 76 percent sure
7 teams. The highest common factor between 28 and 35 is 7, thus the greatest number of teams possible with equal numbers of both genders will be 7.
Answer:
3/16 or in decimal 0.1875
Step-by-step explanation:
Answer:
1) x = 19
2) x = 24 1/3
Step-by-step explanation:
1) there are 360 degrees in a 4-sided polygon
90 + 90 + 4x - 14 + 5x + 23 = 360
9x + 9 = 180
9x = 171
x = 19
2) there are 720 degrees in a 6-sided polygon
since this hexagon is 'regular' then all angles are equal and measure 120°
6x - 26 = 120
6x = 146
x = 24 1/3