what is the perimeter of this polygon with coordinates (2,4), (3,-2), (-2,-3), and (-1,2)

Answers

Answer 1

The perimeter of the polygon will be 19.86 units.

What is the perimeter?

Perimeter is defined as the sum of all the sides of any shape like a rectangle or polygons triangle etc.

Here we are having the points  P(2,4), Q(3,-2), R(-2,-3), and S(-1,2).

The distance the between the points PQ, QR, RS, and SP will be calculated as:-

PQ = \(\sqrt{(3-2)^2+(-2-4)^2}\)     = 6.08

QR = \(\sqrt{(-2-3)^2+(-3+2)^2}\)  = 5.09

RS = \(\sqrt{(-1+2)^2+(2+3)^2}\)     =  5.09

SP = \(\sqrt{(2+1)^2+(4-2)^2}\)        =  3.6

The perimeter will be the sum of all the sides:-

P = 6.08 + 5.09 + 5.09 + 3.6

P = 19.86 units

Therefore the perimeter of the polygon will be 19.86 units.

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Related Questions

The following tables show relationships between two variables. Select all of the tables that show a linear relationship. 

The following tables show relationships between two variables. Select all of the tables that show a linear

Answers

Answer:

A

Step-by-step explanation:

Table 1 shows the linear relationship between the two variables.

What is linear relationship?

A linear relationship is one in which two variables have a direct connection, which means if the value of x is changed, y must also change in the same proportion.

According to the given question.

We have some tables. Which represents the relationship between the two variables x and y.

Since,

If x is linearly related to y then the slope will same for every points.

For the

Table 1.

For the points (9, 13) and (14, 16)

\(slope = \frac{16-13}{14-9}\)

\(\implies slope = \frac{3}{5}\)

For the points (14, 16) and (19, 19)

\(slope = \frac{19-16}{19-14} =\frac{3}{5}\)

So we can see that the slope is same for each pair of points.

Hence, table 1 shows the linear relationship between the two variables.

Table 2:

For the points (-4, 2) and (2, 10)

\(slope = \frac{10-2}{2+4} =\frac{8}{6} =\frac{4}{3}\)

For the points (8, 50) and (2, 10)

\(slope = \frac{10-50}{2-8} =\frac{-40}{-6} =\frac{20}{3}\)

Since, the slope are not same. Therefore, table 2 doesn't shows the linear relationship between the two variables.

For table 3

Since the slope is changing therefore, table 3 doesn't shows the linear relationship between the two variables.

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The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?

Answers

Answer:105.60

Step-by-step explanation:your welcome

How long would it take sound waves traveling through air that is 68°F to travel 1,372 meters?

Answers

Answer:

Step-by-step explanation:

The distributed expression of
-2f(-4+8)

Answers

Answer:

8f -16f

Step-by-step explanation:

-2f(-4+8)

Distribute

-2f * -4 + -2f *8

8f -16f

2x+y=7 however im looking for y
please help out with this T_T

Answers

Answer: y=-2x+7

Step-by-step explanation:

If all you are asking for is to solve for y, then that means you have to isolate this variable. You can do so by simply subtracting 2x from both sides of the equation. This leaves you with y=-2x+7. Hope this helps!

Help me picture above

Help me picture above

Answers

Answer:

Area of rectangle OABC = 18 units²

Step-by-step explanation:

From the graph attached,

Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).

Length of side AO = 6 units

Length of side OC = 3 units

Area of the rectangle = Length × Width

                                    = OC × AO

                                    = 3 × 6

                                    = 18 square units

Help me picture above

Write an expression to show "5 less than y, plus g." ​

Answers

Answer:

(y-5)+g

Step-by-step explanation:

Answer:

y-5+g

Step-by-step explanation:

hope this helps

Find parametric equations for an object moving clockwise along the ellipse (x²/9)+(y²/25)=1 beginning at (0,5) and requiring 3 seconds for a complete revolution.

x=
y=

Find parametric equations for an object moving clockwise along the ellipse (x/9)+(y/25)=1 beginning at

Answers

The parametric equations for an object moving clockwise along the ellipse are x =  3 cos((2π/3) t) and y = 5 sin((2π/3) t)

How to find parametric equations for an object moving clockwise along the ellipse?

Given: the equation of an ellipse x²/9 + y²/25 = 1

Beginning at (0,5) and requiring 3 seconds

The parametric equations representing an ellipse x²/a² + y²/b² = 1  are

x = a cos(t) and y = b sin(t)

where t is the parameter with values between [0, 2π]

If t represents time. Then, if a lap around the ellipse is completed in T seconds we have,

x = a cos((2π/T) t)

y = b sin((2π/T) t)

where 2π/T is the period of the motion.

Combining these results, therefore, we have the parametric equations:

x =  3 cos((2π/3) t)

y = 5 sin((2π/3) t)

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Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Answers

Answer:

d≈21.99

Step-by-step explanation:

Find the circumference of a circle with
radius, r = 7m.
Give your answer in terms of π.

Answers

Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

what is the greatest possible error of 5.78 mi.?

Answers

Answer:

2.89

Step-by-step explanation:

GPE = U * 1/2

GPE = 5.78 * 1/2

GPE = 2.89

Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.

Answers

The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

How to find the growth rate ?

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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HELP PLEASE!! i’m giving 15 points for this!!

HELP PLEASE!! im giving 15 points for this!!

Answers

Answer:The picture did not load

Step-by-step explanation:Sorry

What is the midpoint of the segment shown below

What is the midpoint of the segment shown below

Answers

Answer:

option B is the correct answer

Answer:

Option B is the right answer

Step-by-step explanation:

Basically, add both x coordinates and divide them by 2

(-1+-6)/2

-1-6=-7/2

Then do the same to the y coordinates.

(5+-2)/2

5-2=3/2

Therefore B

\( \frac{ -7}{2} \frac{3}{2} \)

Please mark BRAINLIEST if you wish.

ASAP
What is the sum of 16.87 + (–98.35)?
–115.22
–81.48
81.48
115.22

Answers

Answer:-81.48

Solution,

16.87+(-98.35)

=16.87-98.35

= -81.48

Hope it helps

Good luck on your assignment

Answer:-81.48

Step-by-step explanation:

16.87 + (–98.35)

-81.48

If you stumble in other questions like there you can use a calculator or ask me. :D hope that helps

A chessboard has 64 squares on it. If each square is 1 inch by 1 inch, what is the area of the entire
chessboard covered by the squares?

A chessboard has 64 squares on it. If each square is 1 inch by 1 inch, what is the area of the entirechessboard

Answers

Answer:

64 inches squared

Step-by-step explanation:

Many adults owe money from their college loans for years into their professional careers. A newspaper would like to estimate the proportion of all adults in the city who have debts from college loans. To collect data, a random sample of 300 young adults between the ages of 25 and 35 is asked, "Do you have more than $5,000 in current college debts?” 68% of those sampled reported that they do have more than $5,000 in college-related debts. How might this sample be biased in obtaining an estimate of all adults in the city who have college debts? Because young adults were randomly selected, this sample should provide an unbiased estimate of the proportion of adults with college debts. Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts. Because some young adults may not honestly report their debts, response bias may cause the newspaper to underestimate the proportion of adults with college debts. Because adults with college debts may be less likely to respond, voluntary response bias may cause the newspaper to underestimate the proportion of adults who have college debts.

Answers

Answer: B: because young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts

Step-by-step explanation: the question is asking how the sample could be biased and obtaining an estimate of all ADULTS in the city. Young adults aren't the only adults. Adults can be older than 35 too so it's not a good representation of every adult in the city

Answer:

B- Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.

Step-by-step explanation:

Got it right

edgen 2022

(GIVING BRAINLYST) 1(Multiple Choice Worth 2 points) (15.01 LC) Which number sequence follows the rule subtract 15 starting from 105? O 15, 30, 45, 60, 75 O 15, 10, 25, 20, 35 O 105, 100, 95, 90, 85 O 105, 90, 75, 60, 45​

Answers

D

Step-by-step explanation:

The correct answer is option D, which is 105, 90, 75, 60, 45.

Is 4.95 a terminating decimal

Answers

Answer:

Definitely

since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.

Step-by-step explanation:

This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year

Answers

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

if 7056 divided X is equals to 42; y divided 112 =8, then x/y is​

Answers

Step-by-step explanation:

given

\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)

also given

\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)

therefore

\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)

The figure below has a perimeter of 20 cm. Jinaiya wants to scale this figure by a factor of 0.75

What will the perimeter of the scaled figure be?

The figure below has a perimeter of 20 cm. Jinaiya wants to scale this figure by a factor of 0.75What

Answers

Answer:

15cm

Step-by-step explanation:

scale factor =image diatace/object distance

0.75=x/20

0.75×20=x

15=x

: .x=15cm

What is the sum of (4x2 – 10x + 3) and (-6x2 + 10x + 12)

Answers

Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

12 + 3 = 15

Step 2: Rewrite

-2x² + 15

\((8 - 10x + 3) + ( - 12 + 10x + 12)\)

\((11 - 10x) + (10x)\)

\( 11 - 10x + 10x\)

\( = 11\)

Match the graph to the following quadratic functions. Write the letters in the boxes.

Match the graph to the following quadratic functions. Write the letters in the boxes.

Answers

Answer:

1.c 2.b 3.a 4.h 5.g 6.f 7.d 8.e

Step-by-step explanation:

The ones with negatives are e,f,g,h. They open downward because of the negative. The ones with bigger fractions are the widest because the bigger the denominator, the more they reach out left and right. The ones that have whole numbers are tall and skinny.

Andrew wants to dilate a triangle. If the original triangle has a base of 15 units and an area of 60 square units, what will be the area of the new triangle if the new base is 75?

Answers

Answer:

300

Step-by-step explanation:

For every 1 of the base, there's 4 of the area.

△DOG triangle, D, O, G, find DG

Round your answer to the nearest hundredth.
A right triangle D O G. Angle D O G is a right angle. Angle D G O is seventy-two degrees. Side D G is unknown. Side D O is eight point two units.

Answers

Answer:100

Step-by-step explanation:


need answers on this thanks

need answers on this thanks

Answers

Answer:

15 no is Relation

16 no is function

17 no is Relation

18 no is function

19 no is function

20 no is Relation

I HOPE IT WILL HELP YOU.

Thank you.

Teddy lover..

really need some help

really need some help

Answers

Answer:

  192.7 cm³

Step-by-step explanation:

You want the volume of a regular pentagonal prism with a base side length of 4 cm and a height of 7 cm.

Base area

The area of a regular n-gon is given by the formula ...

  A = n·s²/(4·tan(180°/n))

For n=5 and s=4 cm, the area of the prism base is ...

  A = 5·(4 cm)²/(4·tan(36°)) = 20/tan(36°) cm² ≈ 27.528 cm²

Volume

The volume of a prism is ...

  V = Bh

where B is the base area, and h is the height. Here, we have h=7 cm, so the volume is ...

  V = (27.528 cm²)(7 cm) ≈ 192.7 cm³

The volume of the interior of the box is about 192.7 cm³.

really need some help

Find the volume of the irregular figure. 3 cm 3 cm [?] cm 9 cm 7 cm 3 cm 3cm 12 c


No links for answers​

Find the volume of the irregular figure. 3 cm 3 cm [?] cm 9 cm 7 cm 3 cm 3cm 12 cNo links for answers

Answers

Answer:

\(144cm^{3}\)

Step-by-step explanation:

Hope this helps!

Find the volume of the irregular figure. 3 cm 3 cm [?] cm 9 cm 7 cm 3 cm 3cm 12 cNo links for answers

Solve for y. 2(y-2) -6y=-28​

Answers

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

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