A sheet of paper has an area of 200 square inches. What dimensions will give the sheet the smallest perimeter?

1 answer:

3 0

If it was 20 inches x 10 inches the perimeter would be 60 inches. which is the smallest possible perimeter with whole numbers

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(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

3 years ago

Prime numbers less than 50

SVETLANKA909090 [29]

Answer:

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,83,89,97

Step-by-step explanation:

those are the prime numbers

3 0

2 years ago

Read 2 more answers

Suppose 50 members of the sixth-grade class raise a total of +740

sineoko [7]

Answer:

im pertty sure $740

Step-by-step explanation:

3 0

2 years ago

Part À : Find a rational number that is between 9.5 and 9.7 - Explain why is it rational

noname [10]

9514 1404 393

Answer:

A. 9.6

B. √92 ≈ 9.59

Step-by-step explanation:

A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.

B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.

6 0

3 years ago

Find the difference.

joja [24]

7x - (25x^2 + 12x) = 7x - 25x^2 - 12x = -25x^2 - 5x

4 0

2 years ago