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

I need help fast please!!!!

Answers

Answer:

f translates right 2 units to get g. sorry about my English

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Answers

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?

Answers

Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2

Answers

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

whats 3x+34+23y=
frezz

Answers

Answer:

3x+34+23y, You can not add in this equation as there are no like numbers.

Step-by-step explanation:

Answer:

isnt it 60xy

Step-by-step explanation:

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60

Whats the Inequality

Answers

Answer:

7.50 + 14x < 60

x < 3.75

Step-by-step explanation:

Let

x = number of pizzas ordered

Delivery fee = $7.50

Cost per pizza = $14

Total cost should be less than $60

The inequality

7.50 + 14x < 60

14x < 60 - 7.50

14x < 52.5

x < 52.5/14

x < 3.75

Find x . Please and thank you

Answers

Answer:

x = 6

Step-by-step explanation:

In similar triangles,  corresponding sides are in same ratio

[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]

NEED HELP FAST ILL MAKE BRAINLIEST

Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.

Explain the flaw in Jenna's reasoning.

Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.

Answers

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)​

Answers

In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.

(See attachment).

Recall:

Parallel lines are straight lines that do not meet each other.Transversal line is a that run through two or more straight lines that are parallel.Special angles are formed when transversal intersects parallel lines, which are: corresponding angles, same-side interior angles, same-side exterior angles, alternate exterior and alternate interior angles, and vertical angles.

Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.

The details are as follows:

1. Title for the map is:

California City Map.

2. The three streets that are parallel are:

Adams BoulevardBeverly DriveCarroll Avenue

The street (transversal) that intersects the three is:

Darlin Way

3. St. Michael Hospital is alternate exterior to Baptist Model School

4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.

5. Living Well Drug Store and Vik Pet Store are at vertical locations.

6. Vik Pet Store and Elite Gas-station are at alternate interior locations.

7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.

8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.

9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.

10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.

11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.

12. California City Mall and Remis Bookstore are at corresponding locations.

In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.

(See attachment).

Learn more here:

https://brainly.com/question/13207832

Plz help ASAP I got 10 mins !!!!!

Answers

Answer:

x=5

Step-by-step explanation:

Since the triangles are similar we can use ratios to solve

4.5     7.5

---- = ------

3            x

Using cross products

4.5x = 3 * 7.5

4.5x = 22.5

Divide each side by 4.5

x = 22.5/4.5

x=5

What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)

Answers

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?

Answers


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. 569 (0.18) represents how much she will receive in commission from the sale.

solve the equation (log base 3^x)^2_6log base 3^x+9=0​

Answers

Step-by-step explanation:

the answer is in the above image

Hiiioo! Can someone please help me out! :)❤️

Answers

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

3/2 is the correct answer to your question

Please answer i will give brainliest

Answers

Answer:

sorry bro......sis

Step-by-step explanation:

don,t know its answer

Radian=degree/57.3 = 26/57.3 = 0.45 rad

Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree

I hope that helps and wish you the best !!

Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?

Answers

Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

Pls answer……………………..

Answers

Answer:

Step-by-step explanation:

J and k are parallel if

angle 1 = angle 4 (vertically opposite angles)

angle 2 + angle 5 = 180 degree (being co interior angles)

angle 4 = angle 5 (being alternate interior angles)

angle 1 = angle 5 (being corresponding angles)

Answer:

2 and 5 are co - interior angles

1 and 3 are corresponding angles

1 and 4 are alternate

6 and 8 are corresponding angles

Step-by-step explanation:

No Docs/No Files only real answer
5-star rated and I will give a brainliest

Answers

A seen it on the test

Answer:

question a is technically 7.5 and question b is 7.5

Step-by-step explanation:

half half

How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.

Answers

Answer: [tex]\dfrac{15}{64}[/tex]

Step-by-step explanation:

Given

Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]

Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]

Area of outside region is [tex]A_1=\pi (8^2)[/tex]

Area of inside region [tex]A_2=\pi (7)^2[/tex]

Area of shaded region [tex]A_1-A_2[/tex]

Probability that point lies inside the shaded region is

[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]

1850=12

2918=20

5044 = ?

7573=56​

Answers

Answer:

1623 jajaggkcgaiahvs Kah kaye kaha

Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.

Answers

Answer:

[tex]MK\approx 87.7[/tex]

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:

[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]

Answer:

87.7

Step-by-step explanation:

Like stated previously similar triangle have side lengths with common ratios

*Create a proportionality to solve for MK*

57/13 = MK / 20

Now solve for MK

Multiply each side by 20

57/13 * 20 = 87.7 ( rounded )

MK/20 * 20 = MK

We're left with MK = 87.7

Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given equation:

[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]

Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].

The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.

Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.

The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.

What is the area? Bit confused on this one.

Answers

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

Answer:

For the blue one:

A1=length*breadth

   =3*3x^2

   =9x^2

For pink:

A2=length*breadth

    =3*4x

    =12x

So the total area is:

A=A1+A2

  =9x^2+12x

A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery

Answers

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

Let the power is P.

P  = V q /t

P = 3 x 0.56 / 1 = 1.68 W

the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation

Answers

Step-by-step explanation:

Given that,

The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.

Ratio notation is= 3:5:7

Frction notation,

Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]

Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]

Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]

Hence, this is the required solution.

2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.

Project Erie

Time 0 1 2 3 4 5

Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250


Answers

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores ​

Answers

Answer:

Na dimio reso

Ta pidi yo

Era olvida yo contigo

Step-by-step explanation:

there's no explanation

If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?

Answers

Doubling the radius will increase the base circular area to be quadrupled due to the squaring operation and thus increasing the volume of the cylinder to 4 times of its original value.

A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?

Answers

Answer:

See the explanation below

Step-by-step explanation:

Number of months =4

Number of copies =450000

Number of pages =60

Number of copies in 4 months =450000*4

=1800000

Number of pages is

=1800000 *60

=108,000,000

Last question, so please help me out ASAP!

Answers

Answer:

5/18

Step-by-step explanation:

conditional probability formula:

A|B (a given b)  = (A∩B)/(B)

so

Moderate|college (moderate given college)= (moderate∩college)/college

moderate∩college= 15

college= 11+15+28= 54

15/54= 5/18

Other Questions
3g - 4 = 17show ur work Convert 10m in cm. 1. The curved surface area of a cylinder of height 21cm is660cm", find its radius. please help me .....I will give brainliest. A 3-kg projectile is launched at an angle of 45o above the horizontal. The projectile explodes at the peak of its flight into two pieces. A 2-kg piece falls directly down and lands exactly 50 m from the launch point. Determine the horizontal distance from the launch point where the 1-kg piece lands. If a company purchases equipment costing $4,500 on credit, the effect on the accounting equation would be: Assets increase $4,500 and liabilities decrease $4,500. Liabilities decrease $4,500 and assets increase $4,500. Equity decreases $4,500 and liabilities increase $4,500. Assets increase $4,500 and liabilities increase $4,500. Mighty Safe Fire Alarm is currently buying 62,000 motherboards from MotherBoard, Inc. at a price of $66 per board. Mighty Safe is considering making its own motherboards. The costs to make the motherboards are as follows: direct materials, $32 per unit; direct labor, $12 per unit; and variable factory overhead, $15 per unit. Fixed costs for the plant would increase by $87,000. Which option should be selected and why (Score for Question 3: of 9 points)3. How did the railroads impact Seattle, Tacoma, and Spokane during this time? Describe how each city was impacted.Answer:type your answer here Study the graph showing US public opinion from 1965 to 1970.A triple bar graph titled Was Sending Troops to Vietnam a Mistake? The x-axis is labeled Year from 1965 to 1970. The y-axis is labeled Percent of Responders from 0 to 90. The left bar is labeled yes. The middle bar is labeled no. The right bar is labeled no opinion. In 1965, over 20 percent say yes, 60 percent say no, and 15 percent have no opinion. In 1967, 40 percent say yes almost 50 percent say no, and 10 percent have no opinion. In 1970, over 50 percent say yes, over 30 percent say no, and 10 percent have no opinion.Which statement about the Vietnam War is supported by the data in the graph?The war was increasingly unpopular.The wars success led to greater support.The war was of little importance to most Americans.The wars support did not change drastically over time. A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys. Clothes Food Toys 43 30 52 24 38 58 42 46 43 35 54 49 28 47 63 31 42 53 17 34 48 31 43 58 Required:a. Find the values of mean and standard deviation.b. Is there a difference in the mean attention span Of the children for the various commercials? When a muscle experiences atrophy, it gets How many numbers lie between the squares of 39 and 40 Which part of this excerpt from "Cryptozookeeper" by Robb Sherwin indicates the use of second-person point of view?The corner of this building has a window at ground level. There aren't any security signs upon it, or systems that seem to be in place, other than "windows make a lot of sound when shattered," which is a feature you get for free with windows, even the ones in this town sold door to door. You were under the impression that the place was recently constructed, but judging by the deep scratches along the exterior, the place has apparently been under siege by either a pack of ravenous, wild, roving bobcats or sentient handclaws. (x+1)^2 . (x^2+1) = 0 When businesses produce goods ansld services that consumers do not want? 16. Which of the following choices is not one of the benefits of amending college?A. more debeB. more job opportunitiesC. greater potentialD. greater knowledge__________________________________________17. Which of the following choices is not one of the characteristics of a tech prep or 2-2 program?A. They span the last two years of high school and the first two years of college.B. Students in these programs spend time in a real work settingC. They emphasize applied learningD. They emphasize abstract critical thinking 2. A bag contains one red, one blue and one white marble. One marble is chosen at randomfrom the bag, and then replaced into the bag. A second marble is chosen.a) Draw a probability tree and find the sample space.(3 marks) PLEASEEEE HELP QUICKKKK (First correct answer for brainliest) Find the length of JM A historian could best use this map to study which topic?1. O United Nations membership2. O Cold War confrontations3.Decolonization efforts4. O Genocide refugee camp sitesHelp!!! Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplifyfractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."Slope =