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3 years ago

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Please help with this question

1 answer:

goldfiish [28.3K]3 years ago

3 0

Second answer box, try that

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A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$

$f'(a) = ba^{b-1}$

Using the above concepts to differentiate Area and calculate X will give:

$Area = 220X - 2X^{2}$

$Area' = 220 - 4X = 0$

$X = 55$

Calculating Y:

$Y = 220 - 2X$

$Y = 220 - 2(55)$

$Y = 110$

Calculating Area:

$Area = X*Y$

$Area = 55*110$

$Area = 6050\sqfeet$

8 0

2 years ago

use the elimination method to solve the system of equations. choose the correct ordered pair. 3x + 6y = 36 and 3x - 6y = 0

VladimirAG [237]

3x + 6y = 36

+ 3x - 6y =0

------------------------

6x = 36

x = 36/6

x = 6

3(6) - 6y = 0

18 - 6y = 0

-6y = -18

y = 3

7 0

3 years ago

Read 2 more answers

I need help with these.

sattari [20]

Answer:

See below.

Step-by-step explanation:

1.

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x = 13

2.

3^2 + x^2 = [sqrt(10)]^2

9 + x^2 = 10

x^2 = 1

x = 1

3.

1^2 + x^2 = 4^2

1 + x^2 = 16

x^2 = 15

x = sqrt(15)

4.

[sqrt(27)]^2 + x^2 = 6^2

27 + x^2 = 36

x^2 = 9

x = 3

5.

15/5 = c/sqrt(29)

5c = 15 * sqrt(29)

c = 3sqrt(29)

6.

26/13 = x/12

2 = x/12

x = 24

7 0

2 years ago

there are 2rows of 8 chairs set up in the library for a puppet show. how many chairs are set up? use the distributive property t

ikadub [295]

Since there are 2 rows with 8 in each row the answer is 16 chairs

6 0

3 years ago

Read 2 more answers

Oliva has a job as a writer, she writes 2 new sheets of magazines for her job in 3 hours. What is the rate per hour at she write

elena-14-01-66 [18.8K]

Answer:

2/3 magazines per hour

Step-by-step explanation:

Olivia writes 2 new sheets of magazines in 3 hours.

The rate per hour at with she writes the sheets of magazines is the number of sheets divided by the amount of time taken to write the sheets.

Hence, the rate per hour is:

R = 2 / 3 = 2/3 magazines per hour

The rate per hour at with she writes the sheets of magazines is 2/3 magazines per hour.

4 0

3 years ago