Solve the inequality for y.
2 answers:
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The maximum length of the prism is highest length of the hexagonal prism
The maximum length of each prism is 8.0 cm
<h3>How to determine the maximum length of each prism?</h3>The surface area of the hexagonal prism is calculated using:
A = 6al + 33 a^2
Where:
a represents the edge length; a = 4 cm
l represents the length (or height) of the prism
The surface area costs $0.04 per square centimeter.
So, we have:
C = 0.04 * [6al + 33 a^2]
The maximum cost is $11.
So, the equation becomes
11 = 0.04 * [6al + 33 a^2]
Substitute 4 for a
11 = 0.04 * [6 * 4l + 33 * 4^2]
Evaluate the products and exponents
11 = 0.04 * [24l + 483]
Divide both sides by 0.04
275 = 24l + 483
Subtract 483 from both sides
24l = 275 - 483
Evaluate the difference
24l = 191.9
Divide both sides by 24
l = 8.0
Hence, the maximum length of each prism is 8.0 cm
Read more about surface areas at:
Answer:
(11, 11)
Step-by-step explanation:
Solve by substitution:
1. set the equations equal to each other
2. simplify
3. substitute the value of x into an equation
Tell me if this is fine. I wasn't able to edit the document you gave me, so i made one on my own. If you require a full graph, comment, and ill make it again. (I put 2, select the best one)
