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Kryger [21]
3 years ago
10

you have 160 yards of fencing to enclose a rectangular region. find the maximum area of the rectangular region

Mathematics
2 answers:
Phantasy [73]3 years ago
7 0
Maximum area given perimeter is that of a square.

A square has four equal sides so you would have to divide 160 by 4 to get the length of each side. 

160÷4=40

Now to find the area you use the formula A=lw.

A=40x40
A=1600

Therefore the maximum area of a rectangular region if you have 160 yards of fencing is 1600 yards²
Dimas [21]3 years ago
6 0
The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is <u><em>1600 square yards.
</em></u><em></em>Hope this helps!
<em>~ArchimedesEleven</em><u><em>
</em></u>
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5) Consider the equation : y=7x+8
vekshin1

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest  y-intercept.

<h3>How to Interpret the Function Table?</h3>

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also  is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

m = 8

Looking at the given options, only options that are correct are Options B and C.

Read more about Function Table at; brainly.com/question/9404442

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4 0
1 year ago
Five cards are drawn from a standard 52-card playing deck. A gambler has been dealt five cards—two aces, one king, one 3, and on
Nookie1986 [14]

Answer:

The probability that he ends up with a full house is 0.0083.

Step-by-step explanation:

We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.

We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).

We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);

  • If he is given with two kings.
  • If he is given one king and one ace.

Only in these two situations, he will end up with a full house.

Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.

So, the ways in which we can draw two kings from available three kings is given by =  \frac{^{3}C_2 }{^{47}C_2}   {∵ one king is already there}

              =  \frac{3!}{2! \times 1!}\times \frac{2! \times 45!}{47!}           {∵ ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

              =  \frac{3}{1081}  =  0.0028

Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =  \frac{^{3}C_1 \times ^{2}C_1 }{^{47}C_2}

                                                                   =  \frac{3!}{1! \times 2!}\times \frac{2!}{1! \times 1!} \times \frac{2! \times 45!}{47!}

                                                                   =  \frac{6}{1081}  =  0.0055

Now, probability that he ends up with a full house = \frac{3}{1081} + \frac{6}{1081}

                                                                                    =  \frac{9}{1081} = <u>0.0083</u>.

3 0
4 years ago
Read 2 more answers
Name:
lubasha [3.4K]

Answer:

3,225

Step-by-step explanation:

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4 0
3 years ago
if you estimated your sale to be $300 but your actual sale was $345, what was your percent of the increase?
Nat2105 [25]

Answer:

The percentage change from 300 to 375 is 25 %

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((375 - 300) / 300) * 100 = 25 %

8 0
3 years ago
Write the word sentence as an inequality A number h added to -3 is at most 3.4 An inequality is
babunello [35]

Answer:

-3 + h = 3.4 is the inequality for ur kwestion

3 0
3 years ago
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