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Answer:

The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.

Step-by-step explanation:

The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.

The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero.  Let's do it:

So first the area:

2025 = wl

l = 2025 / w

Now the sides:

[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]

Then we can take its derivative with respect to w

[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]

Now we can set the derivative to zero, and solve for w:

[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]

So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

Answer:

about 411.48

Step-by-step explanation:

Use a calculator

Answer:

Step-by-step explanation:

Add the equations together and solve for x.

[tex](2x + y )+ (3x - y) = 11 + 4[/tex]

[tex]5x=15[/tex]

[tex]x=3[/tex]

Use equation [tex]2x+y=11[/tex]  to solve for y.

[tex]2(3) +y=11[/tex]

[tex]6+y=11[/tex]

[tex]y=11-6[/tex]

[tex]y=5[/tex]

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

Answer:

143 over 428

Step-by-step explanation:

Answer:

The symbol ⊥ means is perpendicular to

Step-by-step explanation:

(brainliest)

Answer:

perpendicular to

Step-by-step explanation:

Answer:

16

Step-by-step explanation: your welcome

Answer: d= -9

Step-by-step explanation:

Answer: $51.85

Step-by-step explanation:

To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money for 1%. Then you multiply 5 to figure out 5%. Lastly, you would subtract the answer by $54.60 since your finding out how much it was at the beginning of the day. Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85

$51.85

To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money of 1%

Then you multiply 5 to figure out 5%. Subtract the answer by $54.60 since your finding out how much it was at the beginning of the day.

Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85.

Final result: $51.85

Answer:

105

160

150

Step-by-step explanation:

This is just simple subtraction.

180-75=105

180-20=160

180-30=150

Answer: B. x= 14

D. y=39

Step-by-step explanation:

First and foremost, we need to calculate the constant of proportionality. This will be:

(8,12).

y = kx.

12 = 8k

k = 12/8

k = 1.5

(16, 24),

y = kx

24 = 16k

k = 24/16

k = 1.5

(x, 21),

y = kx

x = y/k

x = 21/1.5

x = 14

(26, y)

y = kx

y = 26 × 1.5

y = 39

Answer: b

Step-by-step explanation:

Answer:

295 is the answer... god bless

Answer25

Step-by-step explanation:

Answer:

y = -(6+3x)/2

Step-by-step explanation:

♪＼(*＾▽＾*)／＼(*＾▽＾*)／

Answer:

a.) PED = 5

b.) PED = 5

c.) PED = 0.05

Step-by-step explanation:

Here , PED = Price elasticity of demand

a.)

Given - The price of a smartphone is currently £200, and the quantity demanded is 4m. Next year the price falls to £180 and the quantity demanded rises to 6m.

PED = (Change in quantity demanded)×[tex]\frac{Initial Price}{Initial Quantity demanded}[/tex]

Now,

Change in quantity demanded = [tex]\frac{6 - 4}{180 - 200}[/tex] = [tex]\frac{2}{20} = \frac{1}{10}[/tex]

⇒PED = [tex]\frac{1}{10}[/tex]×[tex]\frac{200}{4}[/tex] = 5

b.)

Given -The price of pens today is £1, and the quantity demanded is 1m. Next year the price rises to £1.10 and the quantity demanded falls to 950,000.

Change in quantity demanded = [tex]\frac{1000000 - 950000}{1.10- 1}[/tex] = [tex]\frac{50000}{0.10} = 500000[/tex]

⇒PED = [tex]500000[/tex]×[tex]\frac{1}{1000000}[/tex] = 5

c.)

Given -The price of a daily newspaper today is £1.50p, and the quantity demanded is 2m. Next year the price falls by 30p and the quantity demanded rises to 2.2m

Change in quantity demanded = [tex]\frac{2.2 - 2}{30 - 1.50}[/tex] = [tex]\frac{0.2}{28.50} = \frac{20}{2850} = \frac{2}{285}[/tex]

⇒PED = [tex]\frac{2}{285}[/tex]×[tex]\frac{1.50}{2}[/tex] = [tex]\frac{15}{2850}[/tex]= [tex]\frac{1}{190}[/tex] = 0.005

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.

Answer:

Step-by-step explanation:

1.)

7 - 3i - 6 - 4i

Combine like terms

1 - 7i

Cant do anything else

__________________________________________________________

2.)

5 + 4i - 9 - i

Combine like terms

- 4 + 3i

Can't do anything else

__________________________________________________________

3.)

5i - 3 - 7 + 2i

7i - 10

Can't do anything else

__________________________________________________________

4.)

9i + 3 - 4 + 3i

12i - 1

Cant do anything else

__________________________________________________________

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1.  is 7-3i-(6-4i)= 1+i

2.  is 5 + (4 * i) - (9 - i) = -4+5i

3.  is  (5 * i) - 3 - (7 + (2 * i)) =  -10+3i

4.  is  (9 * i) + 3 - (4 + (3 * i)) = -1+6i

trust me guys Im in 11 grade i did this all ready

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

slope is m in y = mx + b

You already said what m is

Answer:

56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.

Answer:

45°

Step-by-step explanation:

If sum of two angles is 90° , then they are called complementary angles.

Complement of 45 = 90 - 45 = 45

Answer: Yes 1/12 is the same as 1 ÷ 12

decimal form is 0.083333333333333333(3 is repeating)

Step-by-step explanation:

Answer:

0.08333333333

Step-by-step explanation: since i helped can i have brainlist please :D

Step-by-step explanation:

[tex] sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

number \: of \: sides=15[/tex]

the polygon is 15 sided.

Answer:

(a) median = 6

(b) median = 14

(c) median = 37

(d) median = 19

(e) median = 4.5

(f) median = 15

(g) median = 126

(h) median = 345

(i) median = 50

(j) median = 75

Step-by-step explanation:

The median of the ungrouped data is obtained by arranging the numbers from the lowest to the highest number, then select the middle number. If you have two numbers in the middle, sum the two numbers and divide it by 2.

(a) in order: 3    4    4     6   7     8      8

median = 6

(b) in order:  11        11           12           14           15       16          17

median = 14

(c) in order:    31         31          34            37         38          41        42

median = 37

(d) in order:   17       17         18       19      19       21      23

median = 19

(e) in order:   3         3        3         4       5        6      7     9

median = (4 + 5) / 2 = 4.5

(f) in order:  12        14       14       14        16      18          19     20

median = (14 + 16)/2 = 15

(g) in order:   120       121         124      128       129        131

median = (124 + 128)/2 = 126

(h) in order:  321      339      342      345    352        358       362

median = 345

(i) in order: 43      46       49      49     51       51      51      52

median = (49 + 51)/2 = 50

(j) in order:   68     70       73     74      76      77      77       81

median = (74 + 76)/2 = 75

Answer:

1) 13

2) 1

Step-by-step explanation:

1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.

2) 1 has the lowest number on the amount of landings.