rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook​

Answers

Answer 1

Step-by-step explanation:

[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]

[tex] \frac{ \sqrt{6} }{3} [/tex]

[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]

[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{6} }{6} [/tex]

[tex] iii)\frac{15}{ \sqrt{5} } [/tex]

[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]

[tex] \frac{15 \sqrt{5} }{5} [/tex]

[tex]3 \sqrt{5} [/tex]

[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{30} }{ 30} [/tex]


Related Questions

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

Answers

I did something very very similar to this bu it was couple years ago

9514 1404 393

Answer:

  84 = j × 7

Step-by-step explanation:

A product results from multiplying two numbers. Here, the two numbers are said to be "Julie's score" and 7. "Julie's score" is represented by j, so the product is ...

  j × 7

Then the translation can be ...

  84 is the product of j and 7

  84 = j × 7

__

In algebra, we can indicate a product without the multiplication symbol, simply by writing the factors next to each other. Generally, we write the numeric factor first:

  84 = 7j . . . . another way to write the answer

Note that this latter method does not seem to appear in the forms available for your answer box.

PLEASE HELP!! WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

Answers

Answer:

x=12

y = 4

Step-by-step explanation:

3x + y = 4x - 2y

x = 3y

y= 1/3x

3x + y = 40             3x + y = 40

3(3y) + y = 40         3x + (1/3x) = 40

9y + y =40              10/3x = 40

10y = 40                  x = 12

y= 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Hence, the value of x is 12 and y is 4.

1 = 104
2 = 79
find the measure of the third angle

Answers

Answer:

?

Step-by-step explanation:

Help me I am stuck find the quotient of 38.5 and 0.5 this is a question for my kid

Answers

Answer:

I got 77

Step-by-step explanation:

38.5÷0.5=x

385÷5=x

x=77

Answer:

77

Step-by-step explanation:

38x2 = 76

I did this because 0.5 is one half and you multiply it by 2 to get a whole number.

and you add 1 because there is 1 0.5 in 0.5

So the answer is 76+ 1 or 77

The Eagles are trying to win in overtime by scoring a field goal. In order for the kicker to successfully make a 54 yard kick the ball needs to reach a maximum height of 24 yards. Find the equation of the parabolic arc of the football, and write the a value in the general equation: y=a(x-h)^2+k = a ( x − h ) 2 + k in the blank below (be sure to write your answer in simplified fraction form, with no spaces).

Answers

4b75b have a good day

Write the number 5,187,000,700 in words.

Answers

it’s Five billion one hundred eighty seven million seven hundred . :)

jessica I have sent u letter in email did u read it?​

Answers

Answer:

hhehehehe

Step-by-step explanation:

Answer:

who is jessica and y r u even using brainly to say this?..

Step-by-step explanation:

....

graph the following equation and plz how

Answers

Desmos Graphing Calculator

y= 2x+4
How many solutions does this linear system have?
x + 2y = -8
O one solution: (8,0)
O one solution: (0,8)
O no solution
O infinite number of solutions

Answers

I think it’s d I’m sorry if I’m wrong

The solution is, x = 0 , y = 4, solutions that this linear system of equation  have.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

Solve the following system:

{y = 4 - 3 x | (equation 1)

x + 2 y = 8 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

x + 2 y = 8 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + y = 4 | (equation 1)

0 x+(5 y)/3 = 20/3 | (equation 2)

Multiply equation 2 by 3/5:

{3 x + y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 0 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 0 , y = 4

Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation  have.

To learn more on simplification click:

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Complete question:

How many solutions does this linear system have?

y=-3x+4

x + 2y = 8

O

O

O

O

one solution: (8,0)

one solution: (0,8)

no solution

infinite number of solutions

3 ÷ 1/8 show your work on paper! :D

Answers

Answer:

[tex]3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24[/tex]

Witch one is a function?

Answers

Answer: Choice D

This shows a list of points where the x coordinate does not repeat. This means that any given x input leads to exactly one y output.

Something like choice A has x = 6 repeated; showing that x = 6 leads to both y = 11 and y = -9 at the same time. So this is why choice A is not a function. Choice B has x = 1 repeat, so it's not a function either. Choice C has x = 19 repeated, so it's not a function.

As a visual tool, you can use the vertical line test to check each set of points. If you are able to draw a single vertical line through more than one point on the graph, then it is not a function.

Answer: A

Step-by-step explanation: I hope I help you if it was wrong I'm sorry

A collection of quarters and dimes is worth $4.25. There are 23 coins in all. How many of each are there?

Answers

Answer:

4.48

Step-by-step explanation:

Answer: 13 quarters and 10 dimes

Step-by-step explanation:


What’s the answer pls

Answers

138% of 250 is 345
explanation:
ITS GONNA BE 345 I BELIEVE

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $

Answers

Answer:

$340

Step-by-step explanation:

$215 after 7 months including initial membership fee

$25 per month

A year has 12 months, so it's 5 months more than 7 months.

You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.

$25/month * 5 months = $125

The extra 5 months cost $125.

$215 + $125 = $340

Answer: $340

if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??

Answers

Answer:

3600

Step-by-step explanation:

If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia

If Allison pays with a $50 bill, how much change will she have?

Answers

Answer:

$29

Step-by-step explanation:

30(1/5) = 6

30 - 6 = 24

30(1/10) = 3

24 - 3 = 21

50 - 21 = 29

(Nvm i realized i was wrong)

A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?

a. At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20
b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.
c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.
d. At the level of significance of 0.05, the null hypothesis is rejected. There is not convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.
e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.

Answers

Answer:

A) At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

Since the calculated p value by the test is obtained higher than that of significance level, thus we cannot reject the null hypothesis.

Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not  convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

We have following information:

The p value obtained by test = 0.47

The test was conducted to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance 0.05.

How do we test the hypothesis?

We have the null hypothesis as

Null hypothesis here = "the proportion of viewers who watch a particular show is equal to 0.20 "

Alternate hypothesis = "the proportion for aforesaid condition is less than 0.20"

Since the obtained p value is more than the level of significance, thus we have the conclusion that we cannot reject the null hypothesis, thus cannot conclude that the proportion for aforesaid condition is less than 0.20.

Thus, option A: At the level of significance of 0.05, the null hypothesis is not rejected. There is not convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

Learn more about testing of hypothesis here:

https://brainly.com/question/4454077

a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answers

Answer:

[tex]Total\ Rotation = 225^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

[tex]\theta = 360^{\circ}[/tex]

An octagonal nut has 8 sides. So, each rotation is:

[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]

[tex]Each\ Rotation=45^{\circ}[/tex]

From position 8 to 5, there are 5 movements.

So, the total rotation is:

[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]

[tex]Total\ Rotation = 45^{\circ} * 5[/tex]

[tex]Total\ Rotation = 225^{\circ}[/tex]

5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,

Answers

Answer:

commutative

Step-by-step explanation:

Commutative property says changing the order of addends does not change the sum.

Answer:

commutative

Step-by-step explanation:

Commutative property says changing the order of addends does not change the sum.

Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

Answers

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

Alice says that all the factors of 8 are even.
Write down an example to show that Alice is wrong.​

Answers

1 is not even yet it is a factor of 8. Alice is wrong.

answer question for points and brainless (right answer not something dum)

Answers

Answer:

Hey shelby Sorry i havent talk to you anyway maybe want to catch up and talk someday

Step-by-step explanation:

And ill answer the question when i can focus more sorry if i stole ur points ummmm ill put the answer as a comment to my answer or what ever

It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?

Answers

Answer:

time

Step-by-step explanation:

Answer:

Technically it is 600 mph but I think you meant 480 miles not 4800 miles but if it is 480 miles then 60 mph

Step-by-step explanation:

I think you made a typo.

my son is trying to do translating angels ​

Answers

Answer:

Hi ma'am/sir... make sure your question is complete with a photo or options when asking a question on brainly.com

Step-by-step explanation:

thanks!

1.488 divided by 2.1 rounded to nearest tenth

Answers

The answer should be 0.70

Enter A B C or D

Describe the center and spread of the data using either the mean and standard deviation or the five-number summary:
{16, 16, 18, 17,
20, 14, 8, 26, 11, 22, 16, 16, 17, 18).



A. x = 16.8; 6 = 4.2

C. x = 14, 0 = 4.2

B. median = 16.5; range 8 to 26

D. median = 16.5; range: 16 to 18

Answers

Answer:

B is the correct answer

Step-by-step explanation:

hope this helps :)

Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.

a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)

Answers

Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below  is a detailed solution ( written as a numbered sequence of statements )

Answer:

identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.

What is logical equivalence?

A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.

Contradiction and tautology

Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.

However, why is this significant?

We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.

To know more:

https://brainly.com/question/953809

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PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

145

Step-by-step explanation:

x+35=180(linear pair)

x=145

or

180+35+x=360(being complete turn)

x=145

180-35= 145
x= 145 degree

Which of the following describes the zeroes of the graph of f(x)=3x^ 6 +30x^ 5 +75x^ 4 ?

Answers

Answer:  b

Step-by-step explanation:

took the quiz same answer on edunity

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