the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

The Figure Below Is A Square . Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:

[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]


Related Questions

if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?

Answers

Answer:

9 hours

Step-by-step explanation:

126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.

Answer: It will take maybe 9 hours

hope this helps :)

Step-by-step explanation:

What is 10000 - 82583 + 81627 X 2

Answers

Answer:

90,671

Step-by-step explanation:

10,000- 82,583+ (81,627 x 2)

Answer:

-235,837

Step-by-step explanation:

Given :

10000-82583+81627×2

Now,

10000-82583+163254

10000-245837

-235,837

Answer will be -235,837

y(0.5 + 4)
PLEASE HELP!!

Answers

Answer: 8

Step-by-step explanation:

Answer:

4.5y

Step-by-step explanation:

0.5y + 4y

4.5y

A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.

Answers

Answer:

Option (1)

Step-by-step explanation:

Equation of the given wave function,

f(x) = acos(bx)

Here, a = amplitude of the wave

Period of the wave = [tex]\frac{2\pi }{B}[/tex]

From the graph attached,

Amplitude = [tex]\frac{4-(-4)}{2}[/tex]

                 = [tex]\frac{4+4}{2}[/tex]

                 = 4

Period of the wave = π - 0

                                = π

From the formula of the period,

Period = [tex]\frac{2\pi }{b}[/tex]

[tex]\pi =\frac{2\pi }{b}[/tex]

b = 2

Therefore, a = 4 and b = 2.

Option (1) will be the answer.

find the value of x and y, (3x - 2y, 7) = (11, x + y)

Answers

Answer:

Step-by-step explanation:

Given,(3x-2y,7)=(11,x+y)

So,3x-2y=11...............(i)

      7=x+y

   or,x+y=7................(ii)

Now,Multiplying eqn.(ii) by 2,we get,

       2x+2y=14...........(iii)

Adding eqn(i) and eqn(iii),

        3x-2y+2x+2y=11+14

     or,5x=25

     or,x=5

Substituting value of x in eqn(i),

         5+y=7

      or,y=2

Hence,the values of x and y are 5 and 2 respectively.    

Simplify (5np3)3
Question shown as picture

Answers

Answer:

[tex]125 {n}^{3} {p}^{9} [/tex]

Which of the following functions is graphed below?

Answers

Answer:

Answer B - y=[x]+7

Step-by-step explanation:

A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.

7 changes this.

Looking at the graph, we see that the y intercept is now 7.

How can this be? x was added to by 7.

If it was subtracted, it would be -7, not postive 7.

So the answer is y=[x]+7

Hope this helps!

Answer:

A

Step-by-step explanation:

when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.

It twice the difference of a number and gig add to 4 the result is 22 more than four time the number. Find the number.

PLEASE HELP!!!!!!!!!!!!!!!!!

will mark brainlist​

Answers

Answer:

I have given the answer in the picture!

Step-by-step explanation:

Hey mate my answer is the correct one!


Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.​

Answers

Step-by-step explanation:

(12^0)(12^6)

1 ×12⁶. (a⁰=1, a is a number)

=12⁶

Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet

Answers

A. -5 feet
This is because when you are diving into a pool the lower the number the deeper into the pool you are going
Since Jenny dove deeper, the only number lower than -4 is -5

Explain how to use a graph of the function f(c) to find f(3).​

Answers

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) . Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

simplify the following

(2p+1)(2p-1)​

Answers

(2p+1)(2p-1) Simplified is 4p2−1

If a + b = 2 and a - b = -4 what is the value of ab A. 5 B. -5 c.3 D. -3​

Answers

Answer:

D

Step-by-step explanation:

Given the 2 equations

a + b = 2 → (1)

a - b = - 4 → (2)

Add the equations term by term to eliminate b

2a + 0 = - 2

2a = - 2 ( divide both sides by 2 )

a = - 1

Substitute a = - 1 into (1) and solve for b

- 1 + b = 2 ( add 1 to both sides )

b = 3

Then

ab = - 1 × 3 = - 3 → D

Answer:

option d

Step-by-step explanation:

a+b=2. ,. a-b = -4

a= 2-b

substituting values, we get

(2-b) - b = -4

2 -b -b =-4

2 -2b =-4

-2b = -4-2

2b= 6

b =3

a = 2-3

a= -1

ab = 3×-1

ab = -3

Help I’m to lazy to do it

Answers

Bro use school cheats

I need help please!!

Answers

10 since it is the y axis

Answer:

10  or in coordinate form(0,10)

Step-by-step explanation:

The y intercept is where the line crosses the y axis

The graph crosses the y axis at 10

(0,10)

Answers the question in the picture

Answers

Answer:

see explanation

Step-by-step explanation:

- 6 would represent a $6 debt

- 6 would represent 6 feet below sea level

Write twelve thousand twelve hundred and twelve in numbers ​

Answers

13,212

Step-by-step explanation:

12000+1200+12

This is such a mind bending question

Goodluck

a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]

Calculating the percentage:

[tex]\to 0.09\times 100=9\%[/tex]

Please help. I really need to pass this.​

Answers

Answer:

3.75

Step-by-step explanation:

r²+9²=(6+r) ²

r²+81 = 36+12r + r²

81=36+12r

=> 12r = 45

r = 45/12 = 3.75

3.75 is the correct answer because pemdas

Find the area of the circle.

452.16 ft2

37.68 ft2

1808.64 ft2

113.04 ft2

Answers

Answer:

113.04^2

Step-by-step explanation:

radius = diameter / 2

=12/2

=6 ft

area of circle = πr^2

=3.14 * 6^2

=3.14 *36

=113.04 ft^2

Answer:

[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.

Answers

Answer:

7 / 6

Step-by-step explanation:

Given the points:

points (0, 0) and (6, 7)

Point 1 : x1 = 0 ; y1 = 0

Point 2 : x2 = 6 ; y2 = 7

The rise = y2 - y1 = 7 - 0 = 7

The run = x2 - x1 = 6 - 0 = 6

Ratio of Rise to Run = Rise / Run = 7 / 6

I need to know the answer pleaseeee

Answers

Answer:

4:49

Step-by-step explanation:

A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.

Answers

Answer:

4cm

Step-by-step explanation:

first find the length of one side of the square

let x represent that

making 2x length of the rectangle

area of a rectangle=length x width

2cm²=2x×x

2cm²=2x²

2cm²/2=2x²/2

1cm²=x²

1√cm²=√x²

1cm=x

perimeter of a square=4xside

4x1cm

4cm

PLEASE HELP ME I NEED AN ANSWER ASAP!! <3

(photo included)

Answers

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

Math question too tough for me, for every math question, i have to ask

Answers

Answer:

I'm pretty sure that the answer is 55.

Sorry if I'm wrong.

The answer should be $55. Explanation if you take $440 you divide it into 8 you get $55. Please tell me if my answer is wrong if correct please mark brainleist

"4 + 3" is an example of a(n) ___

Answers

Answer:

Additive property of association?

You did not specify what kind of answer you are looking for.

You could just be looking for something like "addition problem" or "polynomials" or anything.

I will edit or comment an answer if this gets editted with a bit more specification. :D

Step-by-step explanation:

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E

Answers

Answer: A.

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Step-by-step explanation:

Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]

Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?

Answers

Answer:

The ratio of the distance of Pluto and the earth to the Sun is 40.

Time taken by light to travel from Sun to Pluto is 5.3 hours.

Step-by-step explanation:

Distance between Earth an Sun = 93,000,000 miles

Time from Sun to Earth = 8 minutes

Distance beteen Pluto and Sun = 3.7 x 10^9 miles

The ratio of the distance between Pluto and Sun to the Earth and Sun is

[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]

Now let the time taken by the light to move from Sun to Pluto is t.

[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]

Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5

Answers

Answer:

First, we write the augmented matrix.

1

1

1

2

3

1

3

2

9

|

8

2

9

[1−1123−13−2−9 | 8−29]

Next, we perform row operations to obtain row-echelon form.

2

R

1

+

R

2

=

R

2

1

1

1

0

5

3

3

2

9

|

8

18

9

3

R

1

+

R

3

=

R

3

1

1

1

0

5

3

0

1

12

|

8

18

15

−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]

The easiest way to obtain a 1 in row 2 of column 1 is to interchange

\displaystyle {R}_{2}

R 2

and

\displaystyle {R}_{3}

R 3

.

Interchange

R

2

and

R

3

1

1

1

8

0

1

12

15

0

5

3

18

InterchangeR2andR3→[1−11801−12−1505−3−18]

Then

5

R

2

+

R

3

=

R

3

1

1

1

0

1

12

0

0

57

|

8

15

57

1

57

R

3

=

R

3

1

1

1

0

1

12

0

0

1

|

8

15

1

−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]

The last matrix represents the equivalent system.

x

y

+

z

=

8

y

12

z

=

15

z

=

1

x−y+z=8 y−12z=−15 z=1

Using back-substitution, we obtain the solution as

\displaystyle \left(4,-3,1\right)

(4,−3,1)

What's the perimeter of this shape?​

Answers

Answer:

32m

Step-by-step explanation:

7+5+5+4+4+1+3+3=32

Other Questions
If it were to snow in Phoenix in July, which type of Earth scientist would be mostsurprised? PLEASE ANSWER DUE IN 20 MINUTES The Financial Accounting Standards Board (FASB) is the body authorized to establish accounting principles for all colleges and universities and health care entities.a. Trueb. False Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply. petrol and engine oil has to mix in the ratio 5 : 2 for a certain motorcycle how much engine oil is needed to mix with 10 litres of petrol Which of the following was a legacy of imperialism?a. Weak economic development, with little to no industrializationb. Strong economic development, with domestic adoption of new technologiesc. Strong economic development, with a focus on raw materialsd. Weak economic development, with strong existing infrastructure (2xy)(y+2)----------- email two of your friends moved to overseas email them tell them about your new phone and invite them on your sister's wedding The main hall of Grand Central Station in New York City is approximately 210,000 square feet.(a) Estimate how many people could stand with enough room to turn around in the main hall of the station if there were an emergency which required that the station be used to shelter people. (b) Explain how you came up with your estimate.(c) If there are 4 million people in Manhattan, NY, on a typical workday, estimate the percentage of them that could be sheltered in the station.(d) Explain how you came up with your estimate. Suppose now there are 80 pairs of flows, with ten flows between the first and ninth rack, ten flows between the second and tenth rack, and so on. Further suppose that all links in the network are 10 Gbps, except for the links between hosts and TOR switches, which are 1 Gbps.Required:a. Each flow has the same data rate; determine the maximum rate of a flow. b. For the same traffic pattern, determine the maximum rate of a flow for the highly interconnected topology. c. Now suppose there is a similar traffic pattern, but involving 20 hosts on each rack and 160 pairs of flows. Determine the maximum flow rates for the two topologies. King Harshavardhana's death brought about numerous changes in the country's social, economic, political and cultural Life'. Explain any two political impacts of the death of Harshavardhana on North India. Cules son todos los elementos en una entrevista? ademas de entrevistado, entrevistador y preguntas cerradas y abiertas What was the origin of Putin's distrust of the US? The question is attached at the bottom. PLEASE HELP with detailed explanation!!! Which orientation style has more height than width? BD is the angle bisector of By the 1840s, belief in Manifest Destiny had become quite popular in the United States. So, support for expanding the territory of the U.S. was an important issue in the 1844 presidential election. This election was won by James K. Polk, the candidate of the Democratic Party.Read the following passage adapted from the 1844 Democratic Party platform, or list of the party's goals. Then complete the sentence below.Our title to the whole of the Territory of Oregon is clear and unquestionable, and the annexation of Texas to the United States at the earliest moment possible is important to American progress.rightComplete the sentence.According to the platform, the Democratic Party ___ Manifest Destiny.supportedneither supported or opposedopposed S.B. manages the website for the student union at Bridger College in Bozeman, Montana. The student union provides daily activities for the students on campus. As website manager, part of S.B.'s job is to keep the site up to date on the latest activities sponsored by the union. At the beginning of each week, he revises a set of seven web pages detailing the events for each day in the upcoming week. S.B. would like the website to display the current day's schedule within an aside element. To do this, the page must determine the day of the week and then load the appropriate HTML code into the element. He would also like the Today at the Union page to display the current day and date.Complete the following:Use your editor to open the bc_union_txt.html and bc_today_txt.js files from XX folder. Enter your name and the date in the comment section and save them as bc_union.html and bc_today.js. DONEGo to the bc_union.html file in your editor. Directly above the closing tag, insert a script element that links the page to the bc_today.js file. Defer the loading of the script until after the rest of the page is loaded by the browser. Study the contents of the file and save your changes. DONEGo to the bc_today.js file in your editor. At the top of the file, insert a statement indicating that the code will be handled by the browser assuming strict usage. Note that within the file is the getEvent() function, which returns the HTML code for the daily events at the union given a day number ranging from 0 (Sunday) to 6 (Saturday). "use strict";Declare the thisDate variable containing the Date object for the date October 12, 2018. var thisDate = new Date("October 12, 2018");Declare the dateString variable containing the text of the thisDate variable using local conventions. var dateStr = thisDate.toLocaleDateString();Declare the dateHTML variable containing the following text string date where date is the value of the dateString variable. var dateHTML = "" + dateStr + "";Create the thisDay variable containing the day of the week number from the thisDate variable (Hint: use the getDay() method). - confused here, have: var thisDate = thisDate.getDay(); correct?Using the thisDay variable as the parameter value, call the getEvent() function to get the HTML code of that day's events and store that value in a variable named eventHTML. - lost here...Applying the insertAdjacentHTML() method to the page element with the ID unionToday, insert the value of the dateHTML plus the eventHTML variables before the end of the element contents. - again, lost here too. Found this on another site... document.querySelector('#unionToday').insertAdjacentHTML('beforeend',dateHTML +' '+ eventHTML); -- Where do I put it?Document your code with descriptive comments."use strict"; /* #4 pg680 *//* New Perspectives on HTML5 and CSS3, 7th Edition Tutorial 9 Case Problem 2 */ This script uses the getEvent() function to return the HTML code containin the daily events at the Bridger College student union. *//*Display the Current Date*/var thisDate = new Date("October 12, 2018"); var dateStr = thisDate.toLocaleDateString(); /* Display the Date Using Local Conventions as a Header*/var dateHTML = "" + dateStr + ""; /* Display the Day of the Week Number*/var thisDate = thisDate.getDay(); // #8 Correct???/* Display the Event Listings */function getEvent(day) { var eventHTML = day[thisDay]; /* is adding this correct?? = day[thisDay]; part of #9 ??? */ switch (day) { case 0: // Sunday Events eventHTML = " \ Highlights from the Bridger Art Collection \ An exhibition from over 60 items in the BC permanent collection. \ Location: Room A414 \ Time: 12 am 4 pm \ Cost: free \ \ Bridger Starlight Cinema \ Recent, diverse, and provocative films straight from the art house. 35mm. \ Location: Fredric Whyte Play Circle \ Time: 7 pm 10 pm \ Cost: $3.75 MWU students, Union members, Union staff. $4.25 all others \ \ "; break; case 1: // Monday Events eventHTML = " \ Monday Billiards \ Play in the BC Billiards league for fun and prizes \ Location: Union Game Room \ Time: 7 pm 11 pm \ Cost: $3.75 for registration \ \ Distinguished Lecture Series \ Cultural critic Elizabeth Kellog speaks on the issues of the day. \ Location: Union Theater \ Time: 7 pm 9 pm \ Cost: free, seating is limited \ \ "; break; Ano ang ibig sabihin ng subsidiary moral right o pantulong na karapatang moral? Ipaliwanag Helpppp..:::::..;:..