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dybincka [34]
3 years ago
9

A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t

he maximum area of the dog pen?
Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

\frac{dA}{dx} = -2x^2 + 60x =

-4x + 60 = 0

-4x = -60

x = \frac{-60}{-4} = 15

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

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Graph -2x = -60 please help I need to finish this assignment.
Cerrena [4.2K]

Answer:

-2x = -60

Isolate x and simplify.

2x = 60

x = 30

Straight vertical line through x=30.

8 0
3 years ago
A piece of machinery depreciates $5000 the first year,
eimsori [14]

Answer:

A- $3500

Step-by-step explanation:

The depreciation rate is $300

$5000, $4700, $4400

$300 x 3 = 900

$4400 - 900 =

$3500.

4 0
3 years ago
What is equal to 3 * 3 * 3 * 3 * 3​
ladessa [460]

Answer:

243 or 3^5

Step-by-step explanation:

You can do the product by multiplying starting from the left.

3 * 3 * 3 * 3 * 3​ =

= 9 * 3 * 3 * 3

= 27 * 3 * 3

= 81 * 3

= 243

You can also change it to an exponential form.

3 * 3 * 3 * 3 * 3​ = 3^5

3 0
3 years ago
Read 2 more answers
What is the solution for: 10n^2+n^2+16
ivanzaharov [21]

The solution is n= <u>+</u> 4i/√11

Step-by-step explanation:

step 1: 10n^2+n^2+16=0

step 2: 11n^2+16=0

step 3: 11n^2= -16

step 4: n^2= -16/11

step 5: taking square root on both sides,

            n= √(-16)/√11 (square root of a negative number is a <u>complex term</u> 'i')

            n= <u>+</u> 4i/√11

3 0
3 years ago
i live in a house that 3 metets below sea level go to school 5 meters above sea level how many meters do i go​
RideAnS [48]
3 meters below sea level represents a -3
From -3 to 0 is 3
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There are 8 meters between the house and the school
4 0
3 years ago
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