What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)

What Is The Perimeter Of This Quadrilateral?(5,5)(2, 4)(4, 1)(6, 1)

Answers

Answer 1

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]


Related Questions

Ed Galaxy- Operations with whole numbers and decimals ​

Answers

Answer:

0.6

Step-by-step explanation:

1.0l-0.4l=0.6L

What is the answer to this math problem?

Answers

Answer:

7

Step-by-step explanation:

[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow 14\div 2[/tex]

[tex]\\ \rm\Rrightarrow 7[/tex]

Done!

In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659

Answers

The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

What are the trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]

Here, θ is the angle.

The value of angle given in the problem are,

Cosine a = 0.352 Sine a = 0.936.

Put these values in the above fromula as,

[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]

Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

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Answer:

D(2.659)

Step-by-step explanation:

got it right on edg

I need help on number 16 these instructions say to solve these equations by cross multiplying

Answers

Answer:

  15.  x = 4

  16.  a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

__

15.

  [tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

  x = 6(2/3) = 4

That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.

__

16.

  [tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]

Are the given vectors normal? a = < 5 , − 2 > and b = < 6 , 15 > Equation editor does not include the grouping symbols " < " and " > " that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector < 2 , 3 > should be written as { 2 , 3 } .

Answers

Answer:

Yes.

Step-by-step explanation:

Yes. They are normal

Which expressions are equivalent to In e?

Answers

Answer:

lne = log(e)e = 1

Step-by-step explanation:

I hope this helps!

What is x. Please show *all* the steps.

Answers

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

How to determine the value of x?

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

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A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.

Solve .

Answers

The time of motion of the frog after it jumped into air is determined as 0.8 second.

Time of motion of the frog

The time of motion of the frog is determined by solving the quadratic equation as follows;

60t - 75t² = 0

60t = 75t²

divide both sides by t

60 = 75t

divide both sides by 75

60/75 = t

0.8 s = t

Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.

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5[tex]5x^{2} + 20x - 60 =[/tex]

Answers

Answer:

5

x

2

+

20

x

60

Factor

5

out of

5

x

2

+

20

x

60

.

Tap for more steps...

5

(

x

2

+

4

x

12

)

Factor.

Tap for more steps...

5

(

x

2

)

(

x

+

6

)

Step-by-step explanation:

ANSWER IS =5X2+20X-60

------------------------------

THIS ANSWER IS CORRECT

What percent is equivalent to 24\50? 24% 48% 50% 52%

Answers

Answer:

48%

Step-by-step explanation:

If you convert 24/50 to a percentage the answer is 48%

given:

[tex] \frac{24}{50} [/tex]

to find:

the equivalent percent.

solution:

[tex] \frac{24}{50} [/tex]

[tex] = 0.48[/tex]

[tex]0.48 \times 100\%[/tex]

[tex] = 48\%[/tex]

therefore, the equivalent percent of 24/50 is 48%

Pedro’s book weighs 194 pounds. blanca’s book weighs 177 pounds. use estimation to determine about how much more pedro’s book weighs than blanca’s.

Answers

(i dont know what you mean by that cause clearly just do 194 - 177 = 17 pounds)

Round 194 pounds to 190 ; 177 to 180

In estimation, Pedro's book weighs 190 - 180 = 10 pounds more.
190 : 180 = 1.06 times more.

Chase brought 6 toys to school. That is 20% of all his toys. What is his total amount of toys?

Answers

Answer:

30

Step-by-step explanation:

20 % of his toys are 6. 20 % of a number could only be 100, 100 / 20 = 5
Multiply 5 by 6 and u get 30 :D

100, to answer this questions we can assume that 20% is 1/6 so therefor we can multiply 20 x 6 and get 100

In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.

Answers

Y=tx26 The comma and tan sin Is cos x

I need help!!!!! 4. Determine 3 possible solutions to the inequality below

Answers

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes? ​

Answers

Answer:

Step-by-step explanation:

hello .....

note :  the slope of the line (AB) is :

m =  (YB -YA)/(XB - XA)      

in this execice given A  (-1, 3) and B(0, 1)

m1= (1-3)/(0+1) so :  m1= -2

same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4)  D(0;2)

so: m2 = 2

conclusion : m1 ≠ m2

Will Ty and Leo pass through a common coordinate,

A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2

Answers

Answer:

the answer is 4,500kgm/s2

Step-by-step explanation:

force= mass × acceleration

[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]

Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?

Answers

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

the table shows some ordered pairs that belong to quadratic function h​

Answers

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

How to determine the range?

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

Read more about range at:

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Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate

Answers

Answer:

12 eggs/carton

Step-by-step explanation:

The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton

Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)

Answers

Answer:

purple

Step-by-step explanation:

Find the ratios of the quantities below and write them in the form a/b (a over b)
1. 8cm and 17cm
2. 3800$ and 1500$
3. 1 1/2 day and 13 hours

Answers

Answer:

Hope the picture will help you

Classify each polynomial and determine its degree. the polynomial 3x2 is a with a degree of . the polynomial x2y 3xy2 1 is a with a degree of .

Answers

[tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomials:

[tex]\rm 3x^2[/tex]  and

[tex]x^2y+3xy^2+1[/tex]

For [tex]3x^2[/tex]

In this polynomial, the number of variables is one and the maximum power of x is 2, therefore:

This is the polynomial of one variable with second order.

In polynomial,  [tex]x^2y+3xy^2+1[/tex] there are two variables x and y.

The maximum power of x is 3( x has a power of 2 and y has a power of 1)

This is the polynomial of two variables with third order.

Thus, [tex]\rm 3x^2[/tex]  is the polynomial of one variable with second-order and [tex]x^2y+3xy^2+1[/tex]  is the polynomial of two variables with third-order.

Learn more about Polynomial here:

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Answer:

The polynomial 3x2 is a monomial with a degree of 2

The polynomial x2y + 3xy2 + 1 is a trinomial with a degree of 3

Step-by-step explanation:

The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .

Answers

Answer:

The hours students reported practicing their instruments last grading quarter were 29,  20,  36,  44,  30,  32,  and 40.

The mean hours students reported practicing their instruments is

✔ 33

.

The mean absolute deviation for the data is

✔ 6

.

Step-by-step explanation: answers.

3. Classify the angle pair using all the names that apply.
2

Answers

Angles that are directly across from each other and created from intersecting lines are called vertical angles. Vertical angles are congruent.

Hope this helps!

what is 445 fl oz into pints and why?

Answers

Answer:

27.8 nearest tenth pints

To find, divide the value by 16

One pint is 16 fl oz. So divide 445 fl oz to get 28.4375, or just 28.44 fl oz

Can someone please help me on this?

Answers

Answer:

see image

Step-by-step explanation:

You graph a piecewise function just like three separate graphs. See where there is a greater than > or less than < symbol (without the "or equal to" line underneath) these will have open circle endpoints. See image.

Kristine wants to do hardwood flooring for her room. A floor plan of the room (in feet) is shown. How much hardwood flooring does she need?

Answers

Kristine would require at least 116ft of hardwood flooring for her room.

The answer is arrived at by using simple calculations of the area of a square - a polygon.

How do we arrive at the answer above?

Note that there are missing portions on the shape of the floor. (See a more elaborate version attached).

The side labeled F = 12ft

The side labeled CDE comprises three sides: 8, 2, and 2 respectively. This is also equal to 12.

With this information, we can calculate the area of the square assuming it was full.

The area of a square is given as:

Length x Breadth or L²;

that gives us: 12 x 12 or 12² = 144ft.

Now we get the total actual area by removing the areas of the missing segments.

Section Ax and Ay is also a square. because the length and the breadth are equal.

hence the area of AxAy = 16ft.

We also have the area of the section labeled D,Dx. This section is a rectangle. The formula for the area of a rectangle is:

Length x Breadth.

Hence, we have

6 x 2 = 12ft.

Total area of missing sections are:

12 + 16 = 28ft.

The total area of the square less the missing areas is:

144 - 28 = 116ft.

Hence the total amount of Hardwood that Kristine would require in square ft is 116ft.


See the attached images and learn more about areas of polygons at:
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A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?

A. 24
B. 11
C. 6
D. 9

Answers

Answer:

D.

Step-by-step explanation:

Can y’all help with this? Thanks

Answers

Answers:  

Exponential decay model is y = 500*0.88^x

There is roughly 0.0000000000237 mL of the original air left.

There are 10 zeros between the decimal point and the '2'

The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]

=============================================================

Further Explanation:

A general exponential equation is

y = a*b^x

We start with 500 mL of air which is the value of 'a'

If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%

Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.

-------------

Since a = 500 and b = 0.88, we have

y = a*b^x

y = 500*0.88^x

Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.

y = 500*0.88^x

y = 500*0.88^240

y = 0.0000000000237

This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.

Notes:

There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.

Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work

Answers

Answer:

What's the complex name

Pd(co2) (me3p)2

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