If . he will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. The maximum area that can be achieved for the dog pen is: 392 yards².
<h3>Maximum area </h3>
Let x represent the width of the fence
Let the two widths represent 2x
Let the length of one side represent 28-x
Let A represent Area
Hence,
A=x(28-x)
=-x²+28x
Using calculus or vertex = -b/2a,
x value = -28/-2
x = 14
2x = 28
So,
Maximum area= 14 ×28
Maximum area = 392 yards²
Therefore the maximum area is 392 yards².
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I'm assuming the box is a rectangular prism:
They're asking for the surface area so the answer should be 48*2 + 192*2 + 36*2 since it has 6 faces so S.A. = 552 square in.
Answer:
Step-by-step explanation:
Equations are commonly used in scienctific discoveries to calculate power, work, distance, and time. It is also common to use the circumference and area equations to help with construction and design. Overall, math is a very important part of our lives, and it is also important to learn about it.
You will have to use trig to solve this:
The side you have is adjacent to the known angle
The side you are looking for is opposite the known angle
^^^This means you need to use tan:
tan(24) = 
.445222 = 
^^^input tan(24) into calculator, then multiply 12 to both sides to isolate and solve for x
5.3 ≈ x
Hope this helped!
Answer: 15%
Step-by-step explanation:
The Percentage decrease will be:
= Decrease in weight / Old weight × 100
= (200 - 170) / 200 × 100
= 30/200 × 100
= 15%
The Percentage decrease is 15%