Alexa drew a retangle with an area of 36 square centimeters. The rectangle she drew has the smallest perimeter possible for this area. What is the lenght and width of the rectangle she drew.

Answers

Answer 1

Answer:

The length is 6 cm and width is 6 cm.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

The Formula for Area of rectangle

= length x width

We have Alexa drew a rectangle with an area of 36 square centimeters.

and, Perimeter P = 2L + 2W

P = 2(36/W) + 2W

P = (72/W) + 2W

-72/W² + 2 = 0

-72/W² = -2

W² = 36

W = 6 cm

and, Length = 36/6 = 6 cm

Learn more about Area here:

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Answer 2

Answer: length=6
width=6
20 charr

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Can someone help me match these up? i know the given is number one I need help with the rest.1.line RS || segment AB, ∠1=∠2
2.∠B = ∠1
3.∠A = ∠2
4.∠A = ∠B
5.RA = RB

A: If two ∠'s of a triangle are =, sides opposite are =
B: If lines ||, alternate interior ∠'s =
C: Given
D: Substitution
E: If lines ||, corresponding ∠'s are =

Answers

Answer:

1-C, 2-E, 3-B, 4-D, 5-A

Step-by-step explanation:

Firstly, from the figure, it is shown that line RS is parallel to the line segment AB and ∠1=∠2. Therefore, 1 matches with C.

Now, from the definition of parallel lines, the corresponding angles are always equal, therefore ∠B=∠1. Therefore, 2 matches with E.

Since, we are given that the lines are parallel, therefore by property of parallel lines, alternate angles are always equal. Therefore, ∠A=∠2. Hence, 3 matches with B.

Now, we know that ∠B=∠1 and ∠A=∠2, also that ∠1=∠2, therefore from these equations, ∠A=∠B. Hence, 4 matches with D.

If two angles of the triangle are equal that is ∠A=∠B, then the sides opposite to equal angles are always equal, therefore, RA=RB. Hence, 5 matches with A.

$C-1\nE-2\nB-3\nD-4\nA-5$

A company with 10,000 employees would like to know whether their employees think that they are paid enough. Do you think asking the question to 200 employees from the same department is most representative of all the employees? Explain your reasoning.

Answers

Answer: It is not.

Step-by-step explanation:

The salaries paid to the various departments of a company are usually different as some departments get paid more than others. For instance, in a manufacturing company, the R&D department would on average, get paid more than members of the Cleaning department.

Asking members of only one department therefore, about their pay satisfaction would not bring about a reasonable result because it would not be indicative of the thoughts of members of the other departments who are not being paid the same.

to the nearest cubic yard how much top soil is needed to create a flower bed with 4 ft wide by 25 ft long by 6 in deep?

Answers

6 inches = 1/2 foot

Volume of the flower bed = 4-ft x 25-ft x 0.5-ft = 50 cubic feet

1 cubic yard = 27 cubic feet

Volume of the flower bed = 50/27 = 1 and 23/27 cubic yards, about 1.85 yd³ .

Rounded to the nearest cubic yard, that's 2 of them.

The area of a square picture frame is 55 square inches. Find the length of one side of the frame. Explain to the nearest whole inch.

Answers

Given:

The area of a square picture frame is 55 square inches.

To find:

The length of one side of the frame.

Solution:

Let the length of one side of the frame is x inches.

Area of square is

$Area=a^2$

where a is side length.

Area of frame is

$Area=x^2$

$55=x^2$

Taking square root on both sides.

$√(55)=x$

$x=7.4161985$

$x\approx 7$

$49<55<64$ , so $7<√(55)<8$ . Since 55 is closer to 49, therefore, $√(55)$ is closer to 7.

Therefore, the length of one side of the frame is 7 inches.

Translate the following sentence into an equation. Subtracting 5 from the quotient of a number and 6 gives 37.

Answers

Subtracting 5 from the quotient of a number and 6 gives 37 is to the following:

n / 6 -5 = 37 (Note: / = divided)

$(x / 6) - 5 = 37$

This graph shows the costs of purchasing two types of bird seed mix. Which statement is true? Seed Mix A is more expensive than Seed Mix B. Seed Mix B is more expensive than Seed Mix A. Seed Mix A and Seed Mix B cost about the same. A graph measuring cost and bags. Two lines, labeled Seed Mix A and Seed Mix B, exit the origin to show that cost increases as bags increases

Answers

Answer:

seed Mix A is more expensive than Seed Mix B.

Step-by-step explanation:

The graph of Mix A is above the graph of Mix B.

Looking at the labels of the graphs, we see that the x-axis represents the number of bags bought and the y-axis represents the cost.

For every point along the x-axis, Mix A's cost is above Mix B's cost. This means that Mix A is more expensive.Step-by-step explanation:

Answer:

A is more money than B

Step-by-step explanation:

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