Answer:
x = 5.2
Step-by-step explanation:
Measure of interior angle of a regular polygon = 
Here n = number of sides of the polygon
Interior angle of a regular pentagon = 
= 108°
By applying cosine rule in ΔABK,
(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°
(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°
x² + 6x + 9 = 16 + 36 - (-14.83)
x² + 6x = 57.83
x² + 6x - 57.83 = 0
x = 
x = 
x ≈ -11.2, 5.2
Since, x can't be negative,
x = 5.2 will be the answer.
Answer:

Step-by-step explanation:
a) The average value of a function is given by the following integral:



b) The determination of the minimum average daily cost per pound of pollutant is done by the First Derivative Test and the Second Derivative Test, which is:



(absolute minimum).
The level of reduction corresponding to the lowest average daily cost per pound of pollutant is:

The answer is three. i think you know where three is located in a number line
Answer:
6.2 meters
Step-by-step explanation:
Use pythagorean theorem to find b:
b = √(2.8² - 2.7²) = √0.55 = 0.7 (nearest tenth)
Perimeter of triangle = sum of all its sides = 2.8 + 2.7 + 0.7
Perimeter = 6.2 meters