The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
Learn more about integers here: brainly.com/question/20521181
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This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible = 
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible = 
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible = 
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83
If you look closely the area where 3x is congruent to the other side of the 90 degree angle with one part as 0.5x + 34
So
3x + 0.5x + 34= 90
x will be 16
So plug it in
0.5(16) + 34= 42 degrees
And
3(16)= 48 degrees
That left half of the circle is 180 degrees and since we know the angle 3x is 48 degrees we subtract it from 180 to get angle AE
180-48
132 degrees is your answer
Answer: x = 12
Step-by-step explanation:
= 
cross multiply
4x = 6 × 8
4x = 48
divide through by 4
x = 12
50 X (40 X$20) = 50 X $800 = $40,000
15 X (4 X (50% X $20+ $50)) = 15 X (4 X $60) = 15 X 240 = $3600
$40,000 + $3600 = $43,600 Total payroll
$3,600/$43,600 = .0825688073 as a percent rounded to the nearest tenth is 8.3%
