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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
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The sides of a triangle are 3x+ 2, 6x, and 5x. Find the expression to represent the perimeter. To find the perimeter, we ADD the
frosja888 [35]

Answer:

14x + 2

Step-by-step explanation:

Perimeter = sum of the measures of each side

If a triangle has side lengths of 3x+ 2, 6x, and 5x then the perimeter of that triangle is equal to 3x + 2 + 6x + 5x

Notice that the expression 3x + 2 + 6x + 5x has similar terms so to get the simplist version of the perimeter we would simply combine like terms

3x + 6x + 5x = 14x

The perimeter would = 14x + 2

7 0
3 years ago
Read 2 more answers
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
Sladkaya [172]

Answer:

18360

Step-by-step explanation:

A = P (1 + r/n)^(nt)  where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years

A = 17000 (1 + .08/1)^(1*1)

A = 17000( 1.08)^1

A = 18360

3 0
3 years ago
Read 2 more answers
Multiply me by 4 then subtract 13 if you divide me by 3 and add 17 you get 22
8_murik_8 [283]
You have to do the opposite

22-17=5
5x3=15
15+13=28
28/4=7

The answer is 7. You can check this by doing what it says and if it makes 22, it’s correct. (I’ve already checked it) :)
6 0
3 years ago
Which number-line model represents the sum of 1.25+(-0.75)?
SIZIF [17.4K]

Solution:

<u>A few tips...</u>

  • Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
  • Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
  • Tip-3: If "+" and "+" are multiplied, it gives a result of "-".

<u>Changing the sign of the given equation.</u>

  • 1.25 + (-0.75)
  • => 1.25 - 0.75                                        [Sign changes according to tip-1.]

This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>

The graph that matches with the above info is Option C.

5 0
2 years ago
HELP !!!! picture is shown GEOMETRY
kenny6666 [7]
The right triangle is also Isosceles. It has two equal angles of 45°.

(hypotenuse)² = 2S²

4 = 2S² => S = √2

Therefore B is the correct answer.
8 0
2 years ago
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