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GuDViN [60]
4 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]4 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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-2(2u-3)+3u=3(u+8)<br> u=?
dsp73
If you expand this equation first
You get -4u+6+3u=3u+24

And if you simplify that you get:
-u+6=3u+24
Now you need to solve this equation to find u

First bring 3u to the other side to -u-3u (the positive changes to negative)
Now the equation is
-4u+6= 24
Take 6 of both sides
-4u=24-6= 18
-4u= 18
So u= -18/4
Which simplifies to -9/2

Answer: -9/2
7 0
3 years ago
True or false if you divide a number by two it's always even
Gnesinka [82]
False, ex: 18/2 = 9
false, ex: 18/2 = 9
8 0
3 years ago
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Fraction 13/250 as a decimal
Luba_88 [7]
To find the decimal form of 13/250 you must divide 13 by 250 which is 0.052
5 0
4 years ago
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The base and height of a rectangle are 134.4 and 98.46, find the sum of the lengths of the two diagonals of the rectangle?
Len [333]

Answer:

232.86

Step-by-step explanation:

134.4

+ 98.46

=232.86

232.86

+232.86

=465.72

Sorry that's all I know po

3 0
2 years ago
Joe is buying a jacket that originally costs $59.27 but is on sale for 10% off. Sales tax is 7%. What is the total cost of the j
postnew [5]
Hello!

10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket. 
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.

59.27 * 10% = 5.927

59.27 - 5.927 = 53.343

Now, find and add the sales tax. 

53.343 * 7% = 3.73401

53.343 + 3.73401 = 57.07701

Round this to 57.1

The total cost of the jacket is $57.1.
7 0
4 years ago
Read 2 more answers
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