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GuDViN [60]
3 years ago
7

A rectangle has a perimeter of 32 in. find the length and width of the rectangle under which the area is the largest. follow the

steps: (a) let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x
Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
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Elena L [17]
N + (3n - 15) = 101 is the equation, the answer to the equation is 29
3 0
3 years ago
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vlada-n [284]

Step-by-step explanation:

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7 0
3 years ago
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Ben earns $9 per hour and $6 for each delivery he makes. He wants to make $155 in an 8-hour workday. What is the least number of
ioda
Find how much he will earn
we know he will earn 8 hours sofirst find how many he earns
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8 hou
9*8=72
72+6*numberofdeliveries=155
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7 0
2 years ago
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Please help me answer
Alla [95]

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No

Step-by-step explanation:

6 0
3 years ago
These prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]
zepelin [54]

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

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to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

4 0
2 years ago
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