Find the perimeter of quadrilateral ABCD. Round your answer to the nearest hundredth. A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Answers

Answer 1

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units


Related Questions

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:

BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT

BTW, BWT

TWB, TBW, BTW, BWT, WBT, WTB

TWB, BTW, WBT
If you don't answer, I'll report you!

Answers

There are 6 combinations:
TWB TBW BTW BWT WBT WTB

here u go! BWABWABWABWABWA

Answers

Answer:

- 100

Step-by-step explanation:

Take 10 from both sides

t/2 + 10 - 10 = -40 - 10      Combine like terms

t/2 = - 50                          Multiply both sides by 2

2*t/2 = -50*2

t = - 100

Answer:

= (-90)

Step-by-step explanation:

-90/2+10=. -80/2

2 will go into -80 ,-40 times

-8 * f(0) + 4 * g(-8)

Answers

The value of the expression -8 * f(0) + 4 * g(-8) is -60

Complete question

If the following equations represent the functions f(x) and g(x).

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate the value of -8 * f(0) + 4 * g(-8)

How to determine the value of the expression?

We have:

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate f(0) and g(-8)

f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15

Evaluate

f(0) = 7 and g(-8) = -1

Substitute the above values in the following expression

-8 * f(0) + 4 * g(-8)

So, we have:

-8 * 7 + 4 * -1

Evaluate

-60

Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60

Read more about functions at:

https://brainly.com/question/15602982

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Answer:

-32

Step-by-step explanation:

khan academy said so

What decimal is equal to 3/4???? ANSWER FAST!!!!!!!!!!!1

Answers

Answer:

0.75

Step-by-step explanation:

20 PTS LOOK AT PIC FOR QUESTION WILL MARK BRAINILEST clc

Answers

Answer:

295 square feet

Step-by-step explanation:

Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.

15*3=45

19*10=190

15*4=60

45+190+60=295

Answer:26 *15*4*5*3=23400

Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.


Write an equation to model the situation

Jack works at a t-shirt store. Jack earns $150 a week plus $2 for every t-shirt (T) that
he sells. If Jack's gross pay at the end of the week is $320, how many t-shirts did he sell?

Answers

Jack sold 85 shirts

Find the circumference of a circle with area of 676 pie square meters

Please show work

Answers

Step-by-step explanation:

A= πr^2

r = √(A/π)

r = √(676π/π)

r = 26

C = 2πr

52π

= 163.36

Answer:

52 pie square metres

Step-by-step explanation:

area of a circle=pie r^2

pie r^2=676pie

r^2=676

r=26m d=52

circumference=pie d

52 pie square metres

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

\Ih -what is the square root of 14161​

Answers

Answer:

The answer is 119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

There is a reason why the answer is 119

First, lets take a look at your perfect squares chart ( by tens )

10 x 10 = 100

20 x 20 = 400

30 x 30 = 900

40 x 40 = 1600

50 x 50 = 2500

60 x 60 = 3600

70 x 70 = 4900

80 x 80 = 6400

90 x 90 = 8100

100 x 100 = 10000

110 x 110 = 12100

120 x 120 = 14400

we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120

111 x 111 = 12321

112 x 112 = 12544

113 x 113 = 12769

114 x 114 = 12996

115 x 115 = 13225

116 x 116 = 13456

117 x 117 = 13689

118 x 118 = 13924

119 x 119 = 14161

We found out that the square root of 119 = 14161

Therefore, the square root of 119 = 14161

If you want to find out a quicker way to do this, comment me below

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

Two of Mr. Evan's Earth science classes have 23 students each. Box plots for recent test scores for these two classes are
displayed
Third Period

Answers

The Statement A which says that the mean of the two data sets are equal is the correct statement.

What is box plot?

A boxplot is a standardized way of displaying the distribution of data based on a five number summary minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

According to the given problem,

We can notice from the two box plots that the mean for both the box plots is less than 80 but greater than 75.

Hence, we can conclude that the mean of the two data sets are equal.

Learn more about box plots here: https://brainly.com/question/12591498

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A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim

Answers

Answer:

5 hours

Step-by-step explanation:

So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours

send answer really need it

Answers

Answer:

DO U KNOW HOW TO GET MORE POINTS?

Step-by-step explanation:

Answer:

3/18 foot³

Step-by-step explanation:

okay, so the formula for volume is height x base, which is real confusing, but lets go:

first, you have to figure out the base, which is the surface that's on the bottom:

1/2 x 1/2 = 1/4

so you then multiply that by how high the figure is:

1/4 x 3/4 = 3/16

So your answer is option D. 3/18 cubic foot

hope this helps:)

i need helppp plsss

Answers

Answer:

Im pretty sure it's C U think it is

Which distance measurement is the most precise?
O A. 73 yards
O B. 57 yards
O C. 29.25 yards
O D. 77.2 yards

Answers

Answer:

C- 29.25

Step-by-step explanation:

This answer goes into the thousendths place, meaning this is the most accurate.

Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2

Answers

Answer:

x=65

Angle 1=65

Angle 2=115

Step-by-step explanation:

We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.

The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase & Co. JP Morgan Chase & Co.'s revenue was $29 billion less than Apple's revenue. The total revenue for both companies was $77.8 billion.

Answers

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

100 PTS help all information in pictures below

Answers

Answer:

Question 1: 11%

Question 2: 89%

Question 3: 43%

Question 4: 11%

Step-by-step explanation:

Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.

Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.

Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.

Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.

I hope this helps you! ^w^

Answer:

Question 1: 11% , Question 2: 89%, Question 3: 43%, Question 4: 11%.

Step-by-step explanation:

The First person's answer is correct. Have a great summer.

Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?

Answers

Answer:

13 hours

Step-by-step explanation:

22.50/3=7.5

52.50/7=7.5

97.50/7.5=13

Which of the following are solutions to the following equation?
4x^2-100=0.
Check all that apply.

A. 5
B. -10
C. -5
D. 10

Answers

Answer:x=5 or x=−5

Step-by-step explanation:

4x^2−100=0

Step 1: Add 100 to both sides.

4x^2−100+100=0+100

4x^2=100

Step 2: Divide both sides by 4.

4x^2/4=100/4

x^2=25

Step 3: Take square root.

x=±√25

x=5 or x=−5

Answer:

x=5 or x=−5

I need to know what one to pick I will send an image to go with it ​

Answers

Answer: um do you need help because I don’t see the question or the picture you are talking about..

Step-by-step explanation:

Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from the point on the ground where Dale is standing is 75 degrees to the top of Building A and 48 degrees to the top of Building B, how far apart are the buildings?

Answers

Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 =  124.3 ft +  289ft = 413.3 ft

hi can you please help me with my work​ please no Link please no Link

Answers

Answer:

Its D i did this before cause I do i-Ready to! <3

A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?

Answers

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

g Cell phones. Following are last year's local monthly bills, in dollars, for a random sample of 50 cell phone users. 32.88,31.09.16.13,104.2,47.65,116.96,61.97,43.74,13.52,15,37,30.09,16.93,44.67,28.08,64.68, 16.17,28.04,57.67,14.62,61.32,35.64,88.95,50.48,16.41,16.56,13.48,27.10,15.50,19.95,23.45,4 6.24,41.8,49.35,81.16,28.80,32.48,28.95,31.60,35.6,24.74,44.82,51.62,42.04,22.43,46.54,48.3 2,24.53,77.21,15.12,126.84 At the 5% significance level, do the data provide sufficient evidence to conclude that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Answers

Answer:

At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Step-by-step explanation:

The given data are presented as follows;

32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84

We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.

The given sample size = 50

The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01

The standard deviation of the given data, s ≈ 26.59

The null hypothesis, h₀; μ = 47.37

The alternative hypothesis, hₐ; μ < 47.37

The significant level, α = 5%

Therefore, we have;

The test statistics is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Plugging in the values gives;

[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]

The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551

Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.




Bobby filled a bucket with 5/6 gallon of water and 1/12 gallon of juice. What
is the total amount of liquid Bobby put in the bucket?
+
А. 1/3
B.5/6
C.3/4
D.11/12

Answers

Hi,

To add two fraction, they must have  the same denominator.

So  5/6  =  10/12

Now :   10/12 + 1/12 = 11/12

Answer:

D is the correct option

hope it helps you

please mark me as brainlist

please helppppppppppp...... 17 points

Answers

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?

Answers

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

which of the following could be the graph of the line y=3x-2?

Answers

Answer:

D should be the right answer

Answer:

C. IS THE CORRECT ANSWER

Step-by-step explanation:

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