Answer: -7/3≤t≤5/3
Step-by-step explanation:
|2t + 2/3|≤4
2t + 2/3≤4
(2t + 2/3≤4)*3
6t+2≤12
6t≤10
t≤10/6
<u>t≤5/3</u>
2t + 2/3>=-4
(2t + 2/3>=-4)*3
6t + 2>=-12
6t>=-14
t>=-14/6
<u>t>=-7/3</u>
-7/3≤t≤5/3
Answer:
The greatest number of people that can attend the meeting on that budget is 116
Step-by-step explanation:
The cost for the meeting is given by the following expression:
cost = 500 + 6*person
Since the budget is $1200 the cost must be at most equal to that, therefore:
1200 = 500 + 6*person
500 + 6*person = 1200
6*person = 1200 - 500
6*person = 700
person = 700/6 = 116.667
Since there can't be a 0.667 person, the greatest number of people that can attend the meeting on that budget is 116
The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
<h3>What is a Triangle ?</h3>
Triangle is a polygon with three sides , three angles and three vertices.
Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree
The missing angle and side is given by Cosine rule of triangle
c² = a² + b² - 2ab cosC
11² = 8² + b² - 2* 8 * b * cos 33
57 = b² -13.42 b
b² -13.42b -57 = 0
b = 16.8
By sine rule
a / sin A = b/sin B = c/sinC
8 / sin A = 11 / sin 33
A = 23.33 degree
Similarly
B = 123.7 degree
Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
To know more about Triangle
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The midpoint between points (-3, 8) and (3, -4) is (0, 2)
