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seraphim [82]
3 years ago
7

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

ence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions
Mathematics
1 answer:
likoan [24]3 years ago
3 0

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

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You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.
Len [333]

Answer:

The net sales for last month were <u>$19,525</u>.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

<em>Sales - discounts</em> = \$24,000 - \$3,500 =\$20,500.

Then, we deduct the returns from the remaining amount:

<em>Sales after discounts - returns</em> = \$20,500 - \$975

                                                   = \$19,525.

Therefore, the net sales for last month were $19,525.

7 0
3 years ago
How to solve this I am not the best at math
Brrunno [24]
Try  it is a great site that you can plug problems in to for the answers! I hope this is helpful!!
5 0
3 years ago
Can someone help me with this?
algol13

Answer: x=12

Step-by-step explanation:

we know that sum of a triangle is 180 degrees

one angle is 90 degree

the sum will be 90+(2x+1)+(5x+5)=180

substract 90 from both sides

2x+1+5x+5=180-90

7x+6=90

7x=90-6

divide by 7

x=12

8 0
3 years ago
Can you please explain and answer this question to me, (don't mind the blue dots, they are the answers of what I think, please l
Fofino [41]
I started with c, but you could’ve started with any box.

So I took the numbers in the c box (the black box in my picture) and divided to see which were multiples of two. They all were.

Then I went to a. All of a’s numbers were divisible by 7.

Then b. Two of them are divisible by 2, so that’s not the answer. None of them were divisible by 7, so there’s your answer!

Then d. Two are divisible by 7, so your rules is divisible by 2.

I hope this helps!

6 0
3 years ago
A winter jacket cost $200. It is on sale for 30% off when you have a coupon to save another 20%. How much do you have to pay for
Luba_88 [7]

Answer:

$100

Step-by-step explanation:

20%+30% = 50% off

50/100 = 1/2

200*1/2 = $100

5 0
3 years ago
Read 2 more answers
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