Radicals help please

Radicals Help Please

Answers

Answer 1

√6/3 is the value after rationalization of √2/√3

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is √2/√3

Square root two divided by square root three.

We need to rationalize the denominator

To rationalize multiply numerator and denominator by √3

√2/√3×√3/√3

√2×3/3

√6/3

Hence, √6/3 is the value after rationalization of √2/√3

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Related Questions

HELP ME PLEASE . THESE ARE RATIONAL NUMBERS BTW.

Answers

Answer:

15. -3 1/4

16. -4 1/2 OR -4 2/4

17. 1 1/4

18. -5 3/4

19. 1/2 OR 2/4

20. -2 1/2 OR -2 2/4

Step-by-step explanation:

Answer:

15) -3.25

16) -4.5

17)1.25

18)-5.75

19).5

20)-2.5

A square board has an area of 144 square units. How long is each side of the board?

Answers

Answer: 12 units

Step-by-step explanation:

∴ Area of Square = side length × side length

⇒144 = lengt²

⇒length = √144

⇒length = 12 units ANSWER

hope that helps...

Indicated angles :

6. Find the measures of the indicated angles. Give reasons for your answers

Answers

Answer:

k\

Step-by-step explanation:

j

A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?​

Answers

Answer: 73.2

Step-by-step explanation:

78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2

Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile

Answers

y = -25x + 2000
350 = -25x + 2000
-1650 = -25
x = 66 days

-2n = -1 1/4
................................

Answers

Answer:

n = 5/8

Step-by-step explanation:

-2n = -1 1/4

-1 1/4 = -5/4

So, our equation is

-2n = -5/4

Divided both sides by -2

n = 5/8

So, the answer is

n = 5/8

3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N

Answers

Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)

What does trigonometry mean exactly?

When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.

Here,

tan x tan 4x=1

cos 4X cos X - sin 4x sin x=0

cos 5x=0

5x=(n+1/2)π,n ∈ Z

x=(2n+1)/10 π,0 <x <π

π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)

Thus, there are only four solutions.

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Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.

Answers

On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.

What is probability?

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.

Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.

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a) 3.2÷0.8 explain pls b) 7.5÷0.5 also explain pls​

Answers

3.2\0.8=4 7.5/0.5= 15

7.5 divided by 0.5 is the same as 7.5x2=15

Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.

Answers

Answer:

C,A, and F

Step-by-step explanation:

the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps

11. One side of a kite is 2 cm less than 2 times the length of another. If the perimeter is 38 cm, find the length of each side of the kite. (show work)

Answers

Answer:

Step-by-step explanation:

good

Solution :

Given that,

Perimeter of kite -  38 cm

Let "x" be the one side of kite

Both of the top sides are equal

Therefore, other side = x

One side of a kite is 2 cm less than 2 times the length of another

Therefore,

One of bottom side = 2x - 2

Bottom sides are also equal

Thus, other bottom side = 2x - 5

We know that,

Perimeter = sum of all sides

38 = x + x + 2x - 2 + 2x - 2

38 = 6x - 4

6x = 38 + 4

6x = 42

x = [tex]\frac{42}{6}[/tex]

x = 7

Thus length of each side of kite is:

x = 7

2x - 2 = 2(7) - 2 = 14 - 2 = 12

Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm

Please Brainliest

Help please, I need to check my answer

Answers

[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]

The pairs of polygons below are similar. Give the scale factor of figure A to figure B.

1/8
2
1/4
8
1/2
4

Answers

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

what is polygon ?

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.

given

the scale factor of figure A to figure B

=  smaller dimension / larger dimension

= 2/16

= 1/8

and 4/8

= 1/2

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

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9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?







If anyone knows this please tell me this is due tommorow!​

Answers

Area = 1/2(base)(height)

36 = 1/2(base)(12)
36 = 6(base)
6 = base

The base is 6 inches long.

Answer:

Step-by-step explanation

The triangle base would be 6

Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10

Answers

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5

Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.

Answers

The solution is Option B.

Noise is easily filtered out without damage to the original signal because a narrow range of values is expected

What are digital signals?

A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals

The three types of digital signals are

Continuous-Time/Analog Signal

Discrete-Time Signal

Digital Signal

Given data ,

The digital signals are a more reliable way to encode and transmit information than analog signals

Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity

The digital devices only record pieces of sound waves, not full waves.

Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.

Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected

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20 h(x)=−x 2 8x20, determine the average rate of change of the function over the interval 0 ≤ x ≤ 5

Answers

The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

What is the average rate of change?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.

To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.

In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.

So, we can use the following formula:

Average rate of change = (h(5) - h(0)) / (5 - 0)

Now we have to substitute the values into the equation:

h(5) = -5^2 + 85 = -25 + 40 = 15

h(0) = -0^2 + 80 = 0

Average rate of change = (15 - 0) / 5 = 3

Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.

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sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13

Answers

The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

What is a fraction?

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractions

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

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Find the distance between point k and point L.

Answers

The distance between points L and K is 4 units.

What is the distance formula between two points?

The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,

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

Given, Are two points L and K.

The coordinate points of L(- 2, 6) and K(- 2, 2).

Therefore, The distance between points L and K is,

[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].

[tex]|LK| = \sqrt{16}[/tex].

[tex]|LK| = 4[/tex].

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To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score

Answers

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

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betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?

Answers

1.14 is the answer just do 19%=1.14

19 divided by 25 is .76
then multiply .76 by 100 to get the percent

or

19/25 • x/100

she answered 76% of the questions correctly

Please I need help with all four who or whom

Answers

Answer: 2=who

3=who

4=whom

5=I

Step-by-step explanation:

2) who
3) who
4) whom
5) me

Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]

Perpendicular slopes are the opposite reciprocals .  So the slope of the line will be 2

slope (m) = 2

y = 3  You could use either point given.  I chose (1,3)

x = 1    From the point given (1,3)

y = mx + b  substitute in what you know and solve for b

3 = (2)(1) + b

3 = 2 + b   Subtract 2 from both sides

1 = b

The y-intercept is 1.

y = mx + b

y = 2x + 1

WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT

Answers

The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³

The surface area of the cube is 24 cm ²

The total length of the edges of the cube is  24 cm

How to find the volume of a cube ?

The volume of a cube can be found by the formula :

= Side x Side x Side

This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.

The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :

= 2 x 1

= 2 cm

The volume is therefore :

= 2 x 2 x 2

= 8 cm ³

How to find the area of a cube ?

The surface area of a cube is:

= 6 x side ²

= 6 x 2 ²

= 24 cm ²

How to find the length of a cube ?

The total length of the edges would be:

= 12 edges on a cube x length of each edge

= 12 x 2

= 24 cm

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Is 8 15 and 16 is a Pythagorean triplet?

Answers

No, 8,15 and 16 is not a Pythagorean triplet.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

One of the simplest Pythagorean triples is the set “3,4,5.”

Now, substitute the values in the above equation:

16²=8²+15²

256=64+225

256[tex]\neq[/tex]289

Therefore, (8,15,16) is not a Pythagorean triplet.

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You found that the area of the quarter circle is 78.50 cm squared. You are right. How was this answer found?
Please help me! It's basically asking how to find the area of this quarter circle. I also have to show how I know that the answer is correct by using these steps to get the area of 78.50 cm squared.

Answers

The area of the quarter of the circle is 78.50 squared centimeters.

How to find the area of quarter of a circle.

A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;

area of a circle = [tex]\pi r^{2}[/tex]

where r is the value of the radius of the circle.

The radius of a circle is given as the half of its diameter.

Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.

So that;

area of quarter of a circle = area of a circle/ 4

                                          = [tex]\pi r^{2}[/tex]/ 4

The area of quarter of then given circle = ((22/7)*(10)^2)/ 4

                                                       = 78.50 squared centimeters

Therefore, the answer to the area of the quarter circle was found as explained above.

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Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$

Answers

Supposing the value of x to be an integer, the values of k that donot

satisfy the given equation 3x = k mod 6 are 1,2,4,5.

What is an integer?

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

What is the difference between integers and whole numbers?

Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.

If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.

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You are running a concession stand at a football game. You are selling snacks and sodas. Each order of nachos costs $2 and each soda costs $1.50. At the end of the night, you made a total of $125. You sold a total of 76 nachos and sodas combined. You must report the number of nachos sold and the number of sodas sold. What equations did you use to solve this

Answers

The equations are n + s = 76 and 2n + 1.50 s = 125.

let n = number of Nachos sold

let s = number of sodas sold

Two equations are presented to us, and we can use them together to solve one variable at a time.

Eq. 1: n + s = 76

Eq. 2: 2n + 1.50 s = 125

So, s = 76 - n

Put (76 - n) for s in the second equation

2n + 1.50 (76 - n) = 125

2n + 114 - 1.50 n = 125

2n - 1.50 n + 114 = 125

0.5n + 114 = 125

0.5n = 125 - 114

0.5n = 11

n = 22

s = 76 - 22

s = 54

22 nachos sold and 54 sodas sold.

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Ok last one! I tried everything im completely lost! Need help one more time.

Answers

Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90


90-57=33


Therefore 33 degrees is the answer


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Miss Jennifer is buying pencils in packs of 12, notebooks in packs of 16, and red pens in boxes of 20. She needs to have the same number of pencils, notebooks, and red pens. How many packs of each type should she buy?


someone pls help

Answers

She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.

what is LCM ?

Least Common Multiple is referred to as LCM. The smallest number that is a multiple of both numbers is the least common multiple of the two. The first few multiples of each integer should be listed.

Look for duplicates that appear on both lists. Write out additional multiples for each number if the lists don't contain any common multiples. The least integer shared by both lists should be found. The LCM is this figure.

given

This entails determining the 16, 12, and 20 Least Common Multiples (LCM).

2⁴ = 16 = 2 * 2 * 2 * 2

2²*3 = 12 = 2 * 2 * 3

2²*3 = 12 = 2 * 2 * 3

2²*5 =  2 * 2 * 5

Keep in mind that LCM is the prime factorization of the involved integers multiplied by the highest power of each prime factor;

22 * 3 * 5 = 240.

She needs to purchase 240 packets of each kind in order to have an equal amount of pencils, notebooks, and red pens.

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