Two students calculated the area of a polygon in the coordinate plane using different strategies. Explain the two methods. Which method do you prefer and why?

Two Students Calculated The Area Of A Polygon In The Coordinate Plane Using Different Strategies. Explain

Answers

Answer 1

From the two methods to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

What is the area of the composite figure?

We want to find the area of the irregular composite polygon figure. Now, there are two ways to do this which are;

1) To divide the internal part of the irregular polygon into regular shapes and find the respective areas and add up to get the total area.

2) To inscribe the irregular polygon into a regular shape like a rectangle or square, Then divide into regular shapes the external parts of the irregular polygon that share boundary with the bigger regular shape. Then add up the areas and subtract from the area of the big regular shape.

Now, looking at the two options to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

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Related Questions

The figure is made up of two semicircles. Find the perimeter of the shaded region using 3 . 143.14 for \mathrm{\pi }π.

Answers

Answer:

69.66 cm

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Circumference of a circle}\\\\ $C=\pi d$\\\\where $d$ is the diameter\end{minipage}}[/tex]

From inspection of the given diagram:

Diameter of the larger circle = 5 + 14 + 4 = 24 cmDiameter of the smaller circle = 14 cm

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Therefore, the perimeter of the given shaded region is the sum of half the circumference of the larger circle, half the circumference of the smaller circle, and the two 5 cm ends.

[tex]\begin{aligned}\sf \implies Perimeter & = \sf \dfrac{1}{2} \pi (24) + \dfrac{1}{2} \pi (14) + 5 + 5\\& = \sf \dfrac{1}{2}(3.14)(24) + \dfrac{1}{2}(3.14)(14) +10\\& =\sf 37.68+ 21.98+10\\& =\sf 69.66\:\:cm\end{aligned}[/tex]

Therefore, the perimeter is 69.66 cm.

The perimeter of the shaded region is 12.56 times the radius of one of the semicircles.

To find the perimeter of the shaded region, we need to find the total length of all the boundaries.

The shaded region consists of two semicircles, so we can start by finding the circumference of each semicircle.

The formula for the circumference of a circle is C = 2πr.

Since we have two semicircles, we need to find the radius for each and then add the two circumferences together to get the total perimeter.

Let's say the radius of each semicircle is r.

Using the given value of π as 3.14,

the circumference of one semicircle is 2 * 3.14 * r = 6.28r.

Therefore, the total perimeter is 6.28r + 6.28r = 12.56r.

So, the perimeter of the shaded region is 12.56 times the radius of one of the semicircles.

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) Samantha bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost.​

Answers

Answer:

$10.60

Numerical expression:

($3.50 x 2 ) + (3 x $1.20)

= $7 + $3.60

= $10.60

If this was helpful, please rate this and/ or vote brainliest, this helps so much! :D

When the following quadratic equation is written in general form, what is the value of "c"?

-3/4 x^2 + 2 = 0

-8
-2
-6
Unlimited

Answers

Answer:

the answer is

Step-by-step explanation:

c= -6

hope this help

there are (36)2⋅ 30 candies in a store. what is the total number of candies in the store? (5 points) group of answer choices 312 33 38 34 next

Answers

The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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A and B agree to share the cost of a $29 pizza based on how much each ate. If B ate the amount that A ate, how much should each pay?

Answers

Answer:

The answer is $14.5 dollars

Step-by-step explanation:

So since B ate the amount A ate, this means they each ate half of the $29 pizza.


Steps:

29 / 2 = 14.5

The answer is $14.5 dollars

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

29/2 = 14.5

Because they both ate half, so paid for the half

Step-by-step explanation:

brainiest, please

the process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as . a. deductive inference b. statistical inference c. inductive inference d. bayesian inference

Answers

The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.

What is statistical inference?

Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.

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Brianna is keeping track of how much money she saves.
She has $60 saved and saves another $15 each week.

How long will it take Brianna to save enough to buy a pair
of $180 sneakers? Show or explain your thinking.

Answers

Let’s start by setting up an equation, with x representing the amount of weeks:

15x + 60 = 180

We can subtract 60 from both sides to isolate the variable term:

15x + (60 - 60) = 180 - 60

15x = 120

120 / 15 gives us 8.

It will take Brianna 8 weeks to save enough to buy a pair of $180 sneakers.

I need the answer.????????

Answers

Answer: 60%

Step-by-step explanation:

1=100%

0.6=0.6*1

0.6=0.6*100%

0.6*100%=60%

The answer is 60%!! If you want me to explain I can.

please answer all of them with show work! the questions are together.

Answers

Answer:

20: Pattern 8.
21: n * n = 64

Step-by-step explanation:

8*8=64, so assuming that n is the missing variable, if we use 8 in place of n, we have 64, the "equals (=)" value will always change depending on n's value. So assuming n is equal to 8, 8*8=64

Answer this please!!! Im struggling

Answers

Answer: 0.35

Step-by-step explanation:

two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.

Answers

According to the statement 25t is the distance between the ships after t hrs.

What is Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that perhaps the area of something like the square on which side would be the hypotenuse is equivalent to the sum of something like the areas of the squares on each of the other two sides.

What Is the Pythagorean Theorem Formula Good For?

The Pythagorean theorem is only valid for right-angled triangles. When any two numbers are known, we can use Pythagoras' theorem to compute the unknown sides of something like the triangle. Other real-world applications of Pythagoras' theorem include engineering and architecture.

According to the given information:

The first ship travels north at 20 kilometers an hour, while the second travels west at 15 miles per hour.

equation for the given distance between boats after t hours:

Using Pythagoras formula:

C² = a² + b²

C = √(a² + b²)

a = dist. traveled in t hrs. of the 1st ship.

b = dist. traveled in t hrs. by 2nd ship.

c = dist. between the two ships after t hrs. (d)

Using formula Distance  = speed * time (t)

d = √((20t)²+(15t)²)

d = √(625t²)

d = 25t is the distance between the ships after t hrs.

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Select one of the factors of x2y3 − 11x2y + 6y2 − 66.

(x2y + 6)
(x2y − 6)
(y2 + 11)
(y − 3)

Answers

Step-by-step explanation:

The factors of the equation x2y3 - 11x2y + 6y2 - 66 can be found by taking out the common terms.

x2y3 - 11x2y + 6y2 - 66

Let us take out the common from the first two terms.

⇒ x2y(y2 - 11)------>(1)

Take out common from the last two terms.

⇒ + 6 (y2 - 11)------>(2)

By combining these two, we get

x2y(y2 - 11) + 6(y2 - 11)

⇒ (x2y + 6)(y2 - 11)

Answer:

(x^2y + 6)

Step-by-step explanation:

I got it right on the test.

$274+$400=___________

Answers

Answer:

$674

Step-by-step explanation: hope you have a good day

Answer:674

Step-by-step explanation: 400+200=600 70+00= 70 4+0=4

Can yall do this for me pls?
I can give you a Brainliest for free :D

Answers

Answer:

1. 6.9×10^6, 2. 3.8×10^1, 3. 8.19×10^-2, 4. 14.175×10^4,5. 0.2375×10^13,6. 3.75×10^-16

Step-by-step explanation:

1.3.9×2.3×10^2×10^4

=6.9×10^6

2.4.18×9×10^4×10^-6

=3.8×10^1

3.9.75×8.4×10^4×10^-6

=8.19×10^-2

4. 9.45/1.5×10^10/10^6

=14.175×10^4

5.1.14/4.8×10^5/10^-8

=0.2375×10^13

6.9/2.5×10^-11/10^4

=3.75×10^-16

Can someone help me please.

Answers

Answer:

1 is  6.45

Step-by-step explanation:

3.25+1.55+1.65=6.45

If you were to roll the dice one time what is the probability it will not land on a 1

Answers

Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

It will land on 1, Prob (land on 1) = 1/6

It will not land on 1, the probability will be given as:

Prob (not land on a 1) = 1 - 1/6

Prob (not land on a 1) = 5/6

Hence the probability that it will not land on a 1 is 5/6

Find the range of each function for the given domain

F(x) = 6x - 1; D = [0, 2, 4} R={

Answers

Answer:

d. 61²-1-2 f. 6x² -17x+10. (6x-5Xx-2) i. 20x³ +8x²y-5xy² - 2y³. 4x² (5x+2y) - y² (5x+2y) ... r=0 r=4 r= {0,4} d. 3x³ +2x²-27x-18=0 x²(3x+2)-9 (3x+2) = 0.

9 pages

Step-by-step explanation:

A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?

Answers

The total amount of flour needed for the recipe is 13 65/72 cups

How to calculate the amount needed for the recipe ?

A recipe needs 5 1/8 cups of flour before baking

The recipe also needs another 8 7/9 cups of flour after baking

The total amount of flour used for the recipe can be calculated by adding both amount of cups used.

= 5 1/8 + 8 7/9

= 369+632/72

= 1001/72

Convert to a mixed fraction

13 65/72

Hence the total amount of flour needed for the recipe is 13 65/72 cups

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Does anyone know this answer??

Answers

Answer:

Whole numbers

Step-by-step explanation:

Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.

Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.

Answer:

Whole Numbers

Step-by-step explanation:

So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers

Martha was so hungry that she devoured 7/24 of the pizza,
while Susie, also super-hungry gobbled up 1/4 of the pizza.
Debbie ate her pizza slowly, but ended up consuming 1/6 of the pizza. Which girl ate the least amount of pizza?

Answers

Answer:

Debbie

Step-by-step explanation:

1/4 = 0.25

7/24 = 0.291666..

1/6 = 0.1666..

1/6th is the least

Debbie is going to be the answer.

the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?

Answers

The perimeter of the square is 52 units.

In this question,

the points (1, -2) and (-4, 10) are adjacent vertices of a square.

We need to find the perimeter of the square

The side length of a square is the distance between given two points.

Let a be the side length of the square.

[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]

The side length of the square is 13 units.

so, the perimeter of a square would be,

P = 4a

P = 4 × 13

P = 52 units

Therefore, the perimeter of the square is 52 units.

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1. Determine how much is taken out annually in Federal Taxes along with Social Security and Medicare for a base salary of $51,000. You are filing taxes in April, 2022.​

Answers

The amount that is taken out in federal taxes is $6,968.50. The amount taken for Social security is $3,162. And the amount for Medicare is $739.50.

What are the federal taxes?

For person earning an annual salary of $51,000, the federal tax in April, 2022 will be:

= 4,664 + 22% of income over $40,525

= 4,664 + (22% x (51,000 - 40,525))

= $6,968.50

Social security is:

= 6.2% x 51,000

= $3,162

Medicare taxes:

= $739.50

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. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.

Answers

(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white

​(b)14 outcomes.

What is sample space?

There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.

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English only and correct answers only thank you

Find the product of 4.5 x 1012 and 5.12 x 109. Write the final answer in scientific notation.

23.04 x 1021
23.04 x 1022
2.304 x 1021
2.304 x 1022

Answers

Answer: 23.04*10²¹.

Step-by-step explanation:

4.5x10¹²*5.12x10⁹=(4,5*5.12)*(10¹²*10⁹)=23.04*10¹²⁺⁹=23.04*10²¹.

what is 2 + 2
a.0
b.69
c.80085
d.106
e.200000000/100000000​

Answers

Answer:

e

Step-by-step explanation:

just use a calculator for these questions

Sunset High School has 500 students, and 400 of them are right-handed. The percent proportion is 400/500 = n/100. What percent of students are right-handed?​

Answers

Answer:

80 percent of the students are right handed while the 20 percent are left handed

Answer: A

400/500=n/100

or 80%

Step-by-step explanation:

One ratio should represent the numbers of students, and the other ratio should show the percent out of 100.

There are 400 right-handed students out of 500; this ratio is 400/500

The percent, n, is unknown, so this ratio is n/100

What is the area of ABC?
I need help asap!

Answers

35 units


Step by step:
5x2x7 = 70
70 divided by 2 = 35

formula: Length•Width•Height divided by 2

3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.​

Answers

Answer: about 47 haircuts

What three numbers make up 24

Answers

Answer:

8, 8, and 8 make up 24.

A school's K-Pop club is learning a new dance to a Korean pop song. They pay the dance
teacher from their bank account, which showed three changes this week.
First, a $60 withdrawal was represented using the number - 60.
• The second change was the opposite of the first.
• The third change was the opposite of the second.
What number represents the third change made to the account?

Type the number in the box.

Answers

The number which represents the third change made to the account according to.tge task content is; -60.

What number represents the third change made to the account?

According to the task content, the second change was the opposite of the first, -60.

Hence, the second change is; +60 which is the additive inverse.

Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.

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