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

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

Answers

Answer 1

9514 1404 393

Answer:

  (4√3)/3

Step-by-step explanation:

You know the ratio of side lengths is ...

  x : 4 = 1 : √3

Then ...

  x = 4/√3

Multiply by (√3)/(√3) to rationalize the denominator:

 x = (4√3)/3


Related Questions

Which two expressions are equivalent​

Answers

Answer:

A

Step-by-step explanation:

A) the only answer in which the distributive property is used correctly.

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

c

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

How do I show work for this?

Answers

Answer:

you don't because its not relivant

Step-by-step explanation:

Answer:

You dont need too. Im assuming this is ALEKS

Step-by-step explanation:

Use the given functions to answer the question. F(x)=x^2

Answers

Where’s is the given part of the equation?

28800000, 1440000, 72000, 3600, 180, ...

Answers

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym me

Answers

Answer:

Commission of the employee = 16%

Step-by-step explanation:

It is given that:

Amount kept by gym = $42

Amount given to employee = $8

Total fee = 42 + 8 = $50

Commission rate = [tex]\frac{Commission}{Total\ fee}*100[/tex]

Commission rate = [tex]\frac{8}{50}*100[/tex]

Commission rate = 0.16 * 100 = 16%

Therefore,

Commission of the employee = 16%

Answer:

Yeah I'm pretty much just clarification that it's 16% if anyone was wondering ;-; I don't really have much purpose here

Suppose that the functions g and f are defined as follows.

g(x)=-3+2x^2
f(x)=9-6x

a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f

If there is more than one value, separate them with commas.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]

Calculating the value of [tex](\frac{g}{f})(2)[/tex]:

[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]

               [tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]

x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.

Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]

What is the value of x?
x+4/9=3/4

Answers

Answer:

x = ¹¹⁄₃₆ Or 0.30555555555

Explanation:

x + ⁴⁄₉ = ¾

Subtract ⁴⁄₉ From Each Side

x + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉

Simplify

x = ¹¹⁄₃₆ Or 0.30555555555

- PNW

express 180 as a percentage of 200​

Answers

Answer:

90%

Divide 180 by 200, and you get .9. Convert that into. a percentage

the answer would be 90%. hope this helps.

Write an expression that represents the height of a tree that begins at 7 feet and increases by 2 feet
per year. Let t represent the number of years.
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
All arts showing

Answers

Answer:

H(t) = 7 + 2t.

Step-by-step explanation:

H(t) means the height at time t:

H(t) = 7 + 2t.

What is ( 2 ⅓ * x ) + x?

Answers

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

helppp 30 pionts ............................................................

Answers

Answer:

I think these will work 2/4, 14/16, 4/8 if not sorry

Step-by-step explanation:

Answer:

1/2 = 2/4

7/8 = 14/16

1/2 = 5/10

Step-by-step explanation:

i h0pe this is c0rrect-

A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK

Answers

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

What is the formula to find the permutation?

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

To learn more about the permutation visit:

https://brainly.com/question/1216161.

#SPJ5

I need help finding the area of this shape can you please help

Answers

Answer: 139.27

Step-by-step explanation:

So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.

1). Solve for n n + 46 = 67


Help helps please help

Answers

Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.

very easy 5th grade math. please look at photo and answer!! giving brainiliest

Answers

Answer:

Back Prism: 60

Front Prism: 90

Total Volume: 150

Step-by-step explanation:

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

Write an expression for the number of small squares in pattern n

Please properly answer.

Answers

Answer:

(n + 2)² + 6

Step-by-step explanation:

pattern 1:

Total squares = 15

3² + 6 = 16

Pattern 2:

Total squares = 22

4² + 6

Pattern 3:

Total squares = 31

5² + 6

Looking at the series,

There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6

Hence, expressing the nth pattern in the form ;

(n + a)² + b

Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;

b = 6

Hence, we have ;

(n + 2)² + 6

In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15

Answers

Answer:

243

Step-by-step explanation:

3*3*3*3*3

6(2x - 5) = -(x + 4)

Answers

[tex]6(2x - 5) = - (x + 4)[/tex]

[tex]12x - 30 = - x - 4[/tex]

[tex]13x = 26[/tex]

[tex]x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

Solve for x:

6(2x - 5) = -(x + 4)

Use the distributive property.

12x - 30 = -(x + 4)

12x - 30 = -x - 4

Add x to both sides.

13x - 30 = -4

Add 30 to both sides.

13x = 26

Divide both sides by x.

x = 2

Your final answer would be x = 2

can someone help me with this please?

Answers

Answer:

3x+6

Step-by-step explanation:

Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation.

Answers

Answer:

4p-28=44, 4p=44+28, p=72÷4, p=18

I don't understand the problem can someone help?

Answers

Answer:

209

Step-by-step explanation:

we know 6 to the third power is 6 x 6 x 6 which we know equals 216. We know 14 divided by 2 is 7. So, 216 minus 7 is 209. That’s your answer (brainliest please?)

9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18

Answers

Answer:

it is b

Step-by-step explanation:

A computer program is tested by 5 independent tests. If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found (a) by at least one test

Answers

Answer:

0.8488 = 84.88% probability that it will be found by at least one test.

Step-by-step explanation:

Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.

Probabilities of no errors discovered:

If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.

The probabilities of none discovering the error is:

[tex]p = 0.9*0.8*0.7*0.6*0.5 = 0.1512[/tex]

(a) by at least one test

None: 0.1512

At least one: 1 - 0.1512 = 0.8488

0.8488 = 84.88% probability that it will be found by at least one test.

Which number will you read 'two-tenths'?

Answers

Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.

Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.

What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?

Answers

Answer:

i think 1.17 and 0.85

Step-by-step explanation:

Someone help me on question 10 please!

Answers

Answer:

Step-by-step explanation:

500÷9=55.56miles/h (correct to 3 decimal places)

The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10

Answers

15 I’m pretty sure but I don’t know

explain how to find 27 percent of 16

Answers

Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.

4.32

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