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3 years ago

9

WILL MARK BRAINLEST HELPP ME

1 answer:

vitfil [10]3 years ago

7 0

Answer:

Supplimentry

Step-by-step explanation:

You might be interested in

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

Find the volume.<br> h = 10 cm<br> rea<br> 144 cm

babunello [35]

Answer:

I'm not sure but I think it could be 1440cm³

Step-by-step explanation:

have a great rest of ur day

3 0

3 years ago

Step 1: d+3 < 1 <br><br> Step 2: b+6< 9

In-s [12.5K]

Answer:

1) d < -2

2) b < 3

Step-by-step explanation:

1) d+3< 1

subtract both sides by 3

d+3 -3 < 1-3

d<-2

2) b+6< 9

subtract both sides by 6

b+6 -6 < 9 -6

b< 3

3 0

2 years ago

Which formula can you use to find the area of a circle

nata0808 [166]

Answer:

A = pi r^2

Step-by-step explanation:

The formula for area of a circle is given by

A = pi r^2

8 0

3 years ago

Read 2 more answers

It takes a car 1.75 h to go from mike marker 10 to mile marker 115. what is the average speed of the car?

Black_prince [1.1K]

Answer:

60 mph

Step-by-step explanation:

8 0

3 years ago