Check the picture below.
let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.
running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".
now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.
If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation
4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65
Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24
Answer:
-2g - 11
Step-by-step explanation:
Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.
2(3g-4) - (8g+3) = 6g - 8 - 8g - 3
Evaluate like terms.
6g - 8 - 8g - 3 = -2g - 11
The first square is 7.5
Hope this helps
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.