Answer:
Step-by-step explanation:
we know that
The area of a regular hexagon is the same that the area of 6 equilateral triangles
The area of 6 equilateral triangles applying the law of sines is equal to
![A=6[\frac{1}{2}b^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7Db%5E2sin%2860%5Eo%29%5D)
where
b is the length side of the regular hexagon
we have
substitute
![A=6[\frac{1}{2}(10)^2sin(60^o)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%5E2sin%2860%5Eo%29%5D)
Answer:
4/15
Step-by-step explanation:
Add up the unshaded part
1/3 +2/5
Get a common denominator
1/3 *5/5 + 2/5 *3/3
5/15 + 6/15
11/15
Subtract this from 1 for the entire circle
15/15 -11/15
4/15
4/15 is shaded
Answer:
3.5 = x + 4*y
4 = 2x + 2*y
Step-by-step explanation:
The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).
If we call 'd' the total distance and 'k' the number of laps, we have the equation:
d = x + k*y
So with the data given, we can have the following system:
3.5 = x + 4*y
4 = 2x + 2*y
In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.
120 Bagels
Explanation:
if you get 12 bagels for 5 dollars, and your wondering how many you’d get for 50 dollars, 5 times 10 is 50 and 10 times 12 is 120. That doesn’t make the most sense but yes
Answer:
A
B
-
4
x
+
9
B
C
=
5
x
+
2
=
A
=
9
x/
B
+
2/
B
−
9
C
A
C
−
56
=
A
=
9
x
/B
+
2/
B
−
9
C
x=A=9x/B+2x/B-9C
I hope this helps
