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3 years ago

12

If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the maximal area?

1 answer:

Natali [406]3 years ago

7 0

Answer:

Length = 162 feet and Width = 108 feet.

Step-by-step explanation:

You might be interested in

2{ 5[12+5 (500 - 100)+399]}

notsponge [240]

This is solved by breaking the equasion down.

2 { 5 [12 + 5 (500 - 100) + 399 ]}

2 { 5 [12 + 5 (400) + 399]}

2 { 5 [12 + 2000 + 399]}

2 { 5 [2411]}

2 {12055}

24110

Is this the answer you were looking for?

3 0

3 years ago

Read 2 more answers

Step 1: (6×10^3) ÷ (2×10^2)

Nookie1986 [14]

Answer:

Error is in between the second and third step

the exponents must be subtracted

Step-by-step explanation:

8 0

2 years ago

What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form

Pavlova-9 [17]

1.5 cleaner / 12 cups of water
or
1.5 cleaner : 12 cups of water
to reduce this ratio of 1.5:12, we need to divide both by the same number

1.5 divided by 1.5 is 1
12 divided by 1.5 is 8

So the ratio of cleaner to water is 1:8 in its simplest form or 1 part cleaner to 8 parts water.

Hope this helps!! :)

4 0

3 years ago

Complete the statement using always, sometimes, or never.

babunello [35]

it had to be b cuz now all quadrilateral have straight sides

3 0

2 years ago