Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),

C(5, 3), and D(4, -2).

Answers

Answer 1

Answer:

22.2

Step-by-step explanation:

Step one

given the coordinates

ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)

AB=(-2,-2),(-1,3)

BC=(-1,3), (5, 3)

CD=(5, 3),(4, -2)

DA=(4, -2),(-2,-2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1[/tex]

The distance between points BC=

[tex]BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6[/tex]

The distance between points CD

[tex]CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1[/tex]

The distance between points DA

[tex]DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6[/tex]

Hence the perimeter = 5.1+6+5.1+6

= 22.2


Related Questions

someone help me with this one :))

Answers

2x+1=3x-8

Subtract 2x on both sides

1=x-8

9=x

Mrs.Jones reads 75 pages in 25 minutes what's her average page per minute

Answers

Answer:

3 pages per minute

75÷25

Answer:

3 pages in 1 minute

Step-by-step explanation:

75/25=3

A geographic compass is used to tell the direction you are facing on the Earth. A compass has a movable needle in it that is a magnet with the north pole painted red. Where that red needle points is the direction north on the Earth. The needle moves because it interacts with the magnetic field of the Earth. Which of the following statements is the most true?

a The needle must be a magnet with only one pole

b The direction the needle points north switches when you change hemispheres

c The geographic North Pole of the Earth is actually the magnetic South Pole

d There must a current running through the compass needle for it to work

Answers

I believe it is D. Hope this helps.

Solve the equation 3.6g + 2 = 1.6g + 8.
a. Find the value of g.

Answers

Answer:

Step-by-step explanation:

u put the gs with each other by flipping the one that was changed

3.6g-1.6g=8-2

2g=6

g=6/2

g=3

Answer:

g=3

Step-by-step explanation:

3.6g+2= 1.6g+8

-1.6g      -1.6g

2g+2= 8

    -2    -2

2g=6

6/2=3

g=3

Describe the effects on the graph of y = f(x) when y = –f(x + 4)

Answers

Answer:

Step-by-step explanation:

Graph is shifted 4 units to the right and reflected over the x-axis.

Circle A is shown with a central angle marked 37 degrees and the radius marked 10 inches. Which of the following could be used to calculate the area of the sector in the circle shown above?
π(10in)237 over 360
π(10in)37 over 360
π(37in)210 over 360
π(37in)10 over 360

Answers

Answer:

π(10in)237 over 360

Step-by-step explanation:

i took the same test and got it right :)

The area of the sector of the circle is [tex]\frac{100\pi }{360} *37[/tex]

To understand more, check below explanation.

Area of the sector of the circle:

To find the area of the sector of circle, we use formula,

                [tex]Area=\frac{\pi r^{2} }{360} *\theta[/tex]

where r is radius of circle and [tex]\theta[/tex] is the central angle.

Given that, r = 10 inches, [tex]\theta[/tex] = 37 degrees.

Substitute above values in above formula.

          [tex]Area=\frac{\pi (10)^{2} }{360} *37\\\\\\Area=\frac{100\pi }{360} *37[/tex]

Learn more about the sector of the circle here:

https://brainly.com/question/22972014

11 Three friends rode their bikes last week.
• Christine rode her bike 27 kilometers.
• Philip rode his bike 12 kilometers less than Christine.
Nathan rode his bike 3 times as far as Philip.
Which equation represents n, the distance in kilometers Nathan rode his bike?
A (27 + 12) = 3 = n
B (27-12) x 3 = n
C (27 - 12) 43=n
D (27+12) 3-n

Answers

Answer:

(27 - 12) × 3 = n

Step-by-step explanation:

just trust me lol

determine how many terms we need to add in order to find the sum with an error less than 0.0001. If the quantity

Answers

Answer:

The answer is "[tex]n \geq 9[/tex] and [tex]error < 10^{-4}[/tex]".

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} \frac{-1^n}{n 2^n}\\\\[/tex]

Error after [tex]n^{th}[/tex]term:

[tex]|R_n|= |\frac{(-1)^{n+1}}{(n+1) 2^{n+1}}| = \frac{1}{(n+1)2^{n+1}}\\\\\to \frac{1}{(n+1)2^{n+1}} < 0.0001\\\\\to 10000< 2^{n+1} (n+1)\\\\\to n\geq 9 \ \ \text{satisfies the inequality}\\\\\to error< 10^{-4}\\[/tex]

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

Answers

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

A equals what?? Helpp

Answers

Answer:

<A = 143 degrees

Step-by-step explanation:

<A = <B

7x + 24 = 3x + 92

4x + 24 = 92

4x = 68

x = 17

then...

<A = 7(17) + 24

119 + 24

<A = 143 degrees

Answer:

then m<A=7×17+24=143

Step-by-step explanation:

7x +24=3x+92(corresponding angles )

7x_3x=92_24

4x=68

x=68÷4

x=17

What is the correct integer to represent a withdrawal of 10 dollars?

Answers

Answer:

-10 or -$10

Step-by-step explanation:

The 10 would be negative, due to taking away 10 instead of adding it.

[tex]5(x-6)=2(x+3)[/tex]

Answers

5x -30 = 2x + 6

5x = 2x + 36

3x = 36

x= 12

I want a clear explanation please, i need to solve this

Answers

Answer:

(2,2)

Step-by-step explanation:

The slope is -2 so going from the point (1,4), the point would be (2,2)

How many units away are each of the points from the y-axis?
O 2
O 3
O 4
O 5


PLEASE HURRY

Answers

Answer:

A. 2

Step-by-step explanation:

Point A is on the y-axis is y = -2.

-2 is 2 units away from 0, which is the y-axis.

Point B also, on the y-axis, is y = 2.

2 is also 2 units apart from the y-axis, which is y = 0.

Therefore, both points are 2 units away from the y-axis.

Answer:

it is A

Step-by-step explanation:

got it right on edge

Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?

Answers

Answer:

14.4 there sorry for the wait

A clothing shop ordered 240 t-shirts. 75% of the shirts sold in the first
week. How many shirts sold in the first week?

Answers

180 shirts sold in the first week x/240=75/100 which gets you 180 shirts

(Giving brainliest and extra points

Solve three and one half times one and two thirds.

A) four and two sixths
B) five and five sixths
C) six and five sixths

Answers

Answer:

B

Step-by-step explanation:

3 1/2 x 1 2/3

(3 x 2) + 1 = 7/2

(1 x 3) + 2 = 5/3

7/2 x 5/3 = 35/6

35 ÷ 6 = 5 5/6

Its B.

Answer:The answer is 5 5/6

Step-by-step explanation:
solution

3 1/2=7/2

1 2/3=5/3

7/2 x 5/3=35/6

5 5/6

what is 1 2/3 divided by 5?

Answers

Answer:

the answer is 1/3

1 2/3/5

Answer:

0.33

Step-by-step explanation:

answer rounded to the nearest 100th

The salaries of pharmacy techs are normally distributed with a mean of $32,000 and a standard deviation of $3,000. If a pharmacy tech is selected at random, what is the probability they make more than $39,000?

Answers

Answer:

The probability is  [tex]P( X > 39000) =0.01[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = \$ 32000[/tex]

    The standard deviation is [tex]\sigma = \$ 3000[/tex]

Generally the probability that they make more than $39,000 is mathematically represented as

         [tex]P( X > 39000) = P( \frac{X - \mu }{\sigma } > \frac{39000 - 32000}{3000} )[/tex]

 [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

          [tex]P( X > 39000) = P(Z > 2.33 )[/tex]

From the z table  the area under the normal curve to the right corresponding to  2.33  is      

         [tex]P(Z > 2.33 ) = 0.01[/tex]

So

         [tex]P( X > 39000) =0.01[/tex]

     

The probability they make more than $39,000 is 1%

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\\\\Given \ that:\\\\\mu=32000,\sigma=3000.For\ x>39000:\\\\z=\frac{39000-32000}{3000}=2.33[/tex]

From the normal distribution table:

P(x > 39000) = P(z > 2.33) = 1 - P(z < 2.33) = 1 - 0.9901 = 0.0099 = 1%

Therefore the probability they make more than $39,000 is 1%

Find out more at: https://brainly.com/question/15016913

2) Ethan put 5500 into an account compounded weekly. After 3 years he has double the amount. What was his
Interest rate?

Answers

Answer:

2.75

Step-by-step explanation:

at holiday camp the ration of boys to girls

Answers

Answer:

Boys :girls!

Step-by-step explanation:

Plz write complete question

Need helpp right noww​

Answers

Answer:

151°

Step-by-step explanation:

First, we must identify the geometric figure in the diagram. It has five angles, so it's a pentagon.

It is also important to remember that the sum of all interior angles in a pentagon is 540°. So that means:

5x+2 + 10x-3 + 8x-19 + 13x-31 + 7x-11 = 540

43x-62 = 540

43x = 602

x = 14°

Now, we just plug in value of x into the expression for angle S:

S = 13x-31

S = 13•14-31

S = 151°

Is this SAS SSS or AA?​

Answers

Answer:

SSS

Step-by-step explanation:

It has no angles, so it would just be SSS

determine the intersepts of the lines ​

Answers

Answer:

The line crosses the x-axis at 0.3, so the x-intercept is 0.3

The line crosses the y-axis at 0.4, so the y-intercept is 0.4

Which of the following represent the transformation of ABC DBE SELECT ALL THAT APPLY

Answers

Answer: the answer is Compostition of Reflection, Rx- axis Rx=5 and Rotation,r (180,c(5,0))

Last year, Salma opened an investment account with $6800. At the end of the year, the amount in the account had increased by 23.5%. How much is this
Increase in dollars? How much money was in her account at the end of last year?

Increase :
Year end amount:

Answers

Answer:

1598 and 8398

Step-by-step explanation:

23.5x6800

100

=1598

6800+1598=8398

On a map there are 3 cm between two cities the actual distance between cities is 45 km what is the scale used for the map

Answers

answer : 15

to find the scale you divide. 45/3 = 15.

this gives you the scale 15

i don’t know how else to explain it but i hope this helps

Cameron wants to buy a skateboard. he has $89, Which is $17 more than he needs. Which equation can be used to determine how much the skateboard costs

Answers

Answer:

The answer to this question is $72. The equation is x + 17 = 89

Step-by-step explanation:

Equation: x + 17 = 89

Cameron has $89 so 89 would go behind the equal sign.

He has 17 dollars more than he needs. Whenever more is used that usually indicates that it will be a plus sign. So we will do + 17 = 89.

Finally we need to add the x to complete the equation. This will be shown as x + 17 = 89.

If you solve this equation it will equal x = 72.

If this helped you please subscribe to The Game Rater. Thank you.

Answer:

89-17

Step-by-step explanation:

To find how much Cameron’s skateboard costs you need to take away 17 from your starting amount as you have more. Meaning we subtract the 17 to find how much the skateboard costs.

The following is a random sample of the annual salaries of high school counselors in the United States. Assuming that the distribution of salaries is approximately normal, construct a 95% confidence interval for the mean salary of high school counselors across the United States. Round to the nearest dollar.
$42,670,$64,150,$41,200,$44,030,$41,370,$35,010,$33,630

Answers

The answer is "Lower Endpoint = 33858  and Upper Endpoint = 52445", and the further solution can be is provided as follows:

As a result, we need to calculate a [tex]\bold{95\%}[/tex] confidence interval for the mean.To use the TI 84 Plus calculator, follow these steps:Press STAT and then select EDIT from the drop-down menus.Enter the data in column L1 under EDIT

Please find picture 1 in the attached file.

Select Tests from the STAT menu once again by pressing STAT againselect TInterval under the TESTS headingSelected data can be found under TIntervalEnter values in the Data section of the form.

Please find picture 2 in the attached file.

Hit Enter when you've selected CalculatePlease find picture 3 in the attached file.lower-endpoint = 33858upper-endpoint = 52445  

Learn more:

Endpoint: brainly.com/question/13174158

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

Answers

Answer:1/9(x+0.1)

Step-by-step explanation:

 1/9x+10/9

=1/9(x+0.1)

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