Find the length of side xx in simplest radical form with a rational denominator.

Find The Length Of Side Xx In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer:

[tex]x = \dfrac{\sqrt{22}}{2}[/tex]

Step by step explanation:

[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]


Related Questions

Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)

Answers

The number of games Ben predict Orioles will win this year is 64 games

How to find percentage?

Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280

Answers

The equation that models the scenario is 16p+32q = 1,280.

Which equation models the scenario?

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

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Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14

Answers

Answer: D
Explanation: When you divide a number by a negative number, you switch the symbol. (Pls mark brainliest)

I can write a system of linear equations and inequalities from context.
One smartphone plan costs $40 per month and an
extra $3.50 per gigabyte of data used each month.
Another smartphone plan costs $75 per month and
$0.50 per gigabyte of data used each month.
Let c represent the cost of a phone plan, m represent
number of months, and g represent the number of
gigabytes of data used each month. Write a system of
two linear equations that could be used to determine
the number of gigabytes used in a month so that the
two phone plans cost the same amount.
Equation 1:
Equation 2:

Answers

An equation is formed of two equal expressions. The number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let c represent the cost of a phone plan, m represent the number of months, and g represent the number of gigabytes of data used each month.

Equation1: C = 40m + 3.5mg = (40+3.5g)m

Equation2: C = 75m + 0.5mg = (75+0.5g)m

Equating C,

(40+3.5g)m = (75+0.5g)m

40 + 3.5g = 75 + 0.5g

3g = 35

g = 11.6667 gigabyte of data per month

Hence, the number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

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marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?

Answers

Answer:

she will need about 7 baskets, the proper number is 6.7 but round up and its 7

Step-by-step explanation:

hope this helps!

What compass heading represents 20° north of west? PLS HELP

Answers

Answer:

West North West

Step-by-step explanation:

West North West would be the bottom half of North West after you split the compass heading into 2 again.

Answer:

north of west = 290 degrees

north of east = 70

Step-by-step explanation:

Can you help me solve this equation I been trying to search a video explaining this but nothing and I gaved up studying for six days and now I am trying to get back to track anyways ... The equation is a linear equation : f(x)=-x-11 with the following
1.4f(-2)+5f(1)
2.-5f(12)-2f(-9)
3. 3f(5)x f(2)
4.f(9)/f(-6)

Answers

Answer:

4 I promise

jhjhhhhjjj bug check txt TC gym c rectify txt

Answer is 3, not exactly positive though

3h
h
this pyramid has the same base as the prism, and its height is three times the height of the prism. what is the ratio of the volume of the
pyramid to the volume of the prism?

Answers

Answer:

volume of the pramind is 90332 ans And like

Suppose that $b$ is a positive integer greater than or equal to $2.$ When $197$ is converted to base $b$, the resulting representation has $4$ digits. What is the number of possible values for $b$

Answers

Complete Question

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

How to determine the possible numbers of b?

The conditions are given as:

b is at least 2When 197 in base b has 4 digits.

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

197 = 21022 in base 3197 = 3011 in base 4197 = 1242 in base 5197 = 525 in base 6197 = 401 in base 7

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

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which of the following is a statement of the triangle inequality theorem​

Answers

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate difference in their volumes? use 3. 14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1. 0 cubic inch 17. 2 cubic inches 40. 2 cubic inches 137. 8 cubic inches.

Answers

The approximate difference in their volumes is 17.2 cubic inches

How to determine the difference in the volume?

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

[tex]V = \frac{4}{3}\pi r^3[/tex]

The difference is then represented as:

[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]

Substitute known values

[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

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What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?
216 square units
30 square units
120 square units
60 square units

Answers

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)

help me, please ist question 1

Answers

Volume=432 because 8x6x9=432 just multiply the numbers together

Answer:

432

Step-by-step explanation:

To find the volume of a rectangular prism  you multiply, L × W × H

    L = 6     W = 8    H =9  you plug that in  6 × 8 × 9= 432

  

     so the volume is 432in²

Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.

Answers

THE ANSWER IS 120.

Explanation: TIMES 10 AND 12 AND THATS YOUR ANSWER.

Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O

Answers

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units

Answers

Answer:

108 square units

Step-by-step explanation:

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

2+7x1232 = what pls help its matth

Answers

Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

The function f(x) = 5x - 4 is changed to f(x) = 5x + 3. What is the result?

Answers

Answer: move up or add 7 in positive direction

5 I really not sound good

43.7826087 rounded to the nearest tenth

Answers

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

43.8 is that answer hope this helps

can i have help with this please

Answers

Answer:

B) 7r² - r -1

Step-by-step explanation:

(3r² + 7r + 1) + (4r² - 8r - 2)

1. Remove unnecessary parentheses

3r² + 7r + 1 + 4r² - 8r - 2

2. Combine like terms (ex: r and -2r, n and 4n)

7r² - r -1

Therefore, the correct answer is B.

Hope this helps!

Answer: Heyaa! ~

Your Answer is... 7r²− r −1,  Which is B.

Step-by-step explanation:

Subtract the numbers, And then combine like terms,

Solution: 7r²− r −1

Hopefully this helps you! ^

does someone mind helping me with this question? Thank you!

Answers

Answer:

41

Step-by-step explanation:

3(4)²-2(4)+1

48-8+1

41

Answer:

y = 39

:. ? = 39

Step-by-step explanation:

let y represent ?

while x = 4

:. 3x² – 2x + 1 = y

3(4)² – 2(4) + 1 = y

3(16) – 8 + 1 = y

48 – 9 = y

39=y

Help please!

preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology

Answers

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

How to solve for the x??? Pls hep

Answers

Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees


Select the correct answer. what is the approximate solution to this equation? a. b. c. d.

Answers

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

Solving equations

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

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In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?

Answers

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?

Answers

Answer:   203

Step By Step Explanation: Just multiply the numbers.

Answer:

Area = 203 [tex]ft^{2}[/tex]

Step-by-step explanation:

The area of a rectangle can be found using this equation:

Area = length x width

The length given is 29 feet, and the width is 7 feet.

Let's plug these into the equation:

Area = (29)(7) = 203 [tex]ft^{2}[/tex]

Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Identify the angle of depression.

Answers

Answer:

4

Step-by-step explanation:

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.

∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.

∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.

∠6  is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

Therefore, the angle of depression is ∠4.

the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle​

Answers

Answer:

length = 6cm , breadth = 4cm

Step-by-step explanation:

Let's assume length = l

breadth = b

Given perimeter of a rectangle = 20 cm

2(l+b) = 20

l+b = 20/2

l+b = 10

l = 10 - b____(1)

Given area of rectangle = 24 cm²

l×b = 24____(2)

(1) in (2) => l × b = 24

(10-b) × b = 24

10b - b² = 24

10b = 24 + b²

0 = b² - 10b + 24

b² - 10b + 24 = 0

b² + 6b + 4b + 24 = 0

b(b+6) +4(b+6) = 0

(b+4)(b+6) = 0

b+4 = 0. &. b+6 = 0

b = -4. b = -6

breadth must be less than length and it should be positive

So b = 4 cm

b=4 in (1)

(1)=> l = 10 - b

l = 10 - 4

l = 6


frank says that he typically makes about $27 per day because the mode is 27. is frank's conclusion appropriate? explain.

Answers

If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.

The complete question is given below.

Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.​

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

The data is given below.

25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.

The measures of center and variability that best summarize Frank's data will be

Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14

Mean = 392 / 14

Mean = 28

If Frank says that he typically makes about $27 per day because the mode is 27.

Yes, Frank's conclusion is appropriate.

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Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next

Answers

The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

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