Answer:
X= -3/2
Step-by-step explanation:
6x/6=-9/6
The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
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Answer:
Step-by-step explanation:
<h3>Question 1</h3>
It is assumed the chords have equal length: PQ = SR
If the vertexes connected with the center, the both chords will form a right triangle, with the hypotenuse being the radius.
<u>Then the radius is found using Pythagorean theorem:</u>
- r =
=
= 29
<h3>Question 2</h3>
<u>Use the intersecting secants theorem: and solve for x:</u>
- FS*FT = FP*FQ
- 4(4 + x) = 5(5 + 3)
- 16 + 4x = 40
- 4x = 24
- x = 6