Answer:
$15,339
Step-by-step explanation:
C(x) = 0.5x² − 100x + 20,339
Since this is a parabola, the minimum cost is at the vertex:
x = -b / (2a)
x = -(-100) / (2 × 0.5)
x = 100
So the minimum cost is:
C(100) = 0.5(100)² − 100(100) + 20,339
C(100) = 15,339
Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.
Cosine law
C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.
Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
33.17 ,,,,500/30 and then times by 1.99
Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
Answer:
216
Step-by-step explanation:
6 × 6 × 6
36 × 6
216
Hope that helped.
