The solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a
Rewrite the compound inequality properly as follows
1.25a + 3 >0.5a - 6 and 2.5a - 1 >= 9 - 1.5a
Collect the like terms in the above compound inequality
1.25a - 0.5a > -3- 6 and 2.5a + 1.5a >= 9 + 1
Evaluate the like terms in the above compound inequality
0.75a > -9 and 4a>= 10
Divide both sides by the coefficient of the variable term in the above compound inequality
a > -12 and a>= 2.5
Hence, the solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
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1) Which two teams had the greatest point difference?
Delta and Beta (85 - 25 = 60)
2) Which two teams had the least point difference?
Delta and Gamma (85 - 75 = 10)
3) What was the average score of the 5 teams?
(45+25+75+85+65) / 5 = 295 / 5 = 59
4) How many more points did Epsilon score than Beta?
Epsilon: 65
Beta: 25
65 - 25 = 40
Epsilon scored 40 more than Beta
<span>5) Which teams scored more than 2 times Beta’s score?</span>
twice of Beta = 25 x 2 = 50
answer
Gamma (75) , Delta (85) and Epsilon (65)
Answer:

Step-by-step explanation:


Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80