The team has played 24 home games.
Let h be the number of home games and a be the number of away games. The total number of games is 49; this gives ush+a=49
They won 2/3 of the home games and 2/5 of the away games; there were 26 games won. This gives us2/3h + 2/5a = 26
In the first equation we isolate h by subtracting a from both sides:h+a-a=49-ah=49-a
Substitute this into the second equation:2/3(49-a)+2/5a = 26
Using the distributive property, we have2/3*49 - 2/3*a + 2/5a = 2698/3 - 2/3a + 2/5a = 26
Finding a common denominator to combine like terms, we have98/3 - 10/15a + 6/15a = 2698/3 - 4/15a = 26
We want to convert the whole number to thirds as well; 26 = 26*3/3 = 78/3:98/3 - 4/15a = 78/3
Subtracting 98/3 from both sides:98/3 - 4/15a - 98/3 = 78/3 - 98/3-4/15a = -20/3
Divide both sides by -4/15:a = -20/3 ÷ -4/15a = -20/3 × - 15/4 = 300/12 = 25
There were 25 away games.
This means there were 49-25 = 24 home games.
If angleb is 120 then AC is 120*2 = 240. 360-240 = 120 , 120/2 = 60 . If AB = 60 , angle adb is 30 and angle bdc is 30. DB is 2 * radius because angleA is 90. So with Pisagor AB = 3 , BC = 3 , AD = 3root3 and DC is 3root3.
Answer is = 6+6root3 = 6(1 + root3)
multiply the 2 numbers together than divide by 2
7 1/2 = 15/2
12 2/3 = 38/3
15/2 * 38/3 = 570/6 =95
95/2=47.5 square feet
Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
