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

Answer:

x = (2√6)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = x

Adjacent = √2

Thus, applying trigonometric ratio, we have:

Cos(30) = adj/hyp = √2/x

x*cos(30) = √2

x = √2/cos(30)

x = √2/(√3/2) (cos 30 = √3/2)

x = √2 × 2/√3

x = (2√2)/√3

Rationalize

x = (2√2 × √3)/(√3 × √3)

x = (2√6)/3


Related Questions

14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24

Answers

9514 1404 393

Answer:

  C.  12

Step-by-step explanation:

g(f(6)) = g(6 -3) = g(3) = 4(3)

g(f(6)) = 12

please help fast :( it’s geometry i’ll give you thanks

Answers

Answer:

5.5 cm

(Rounded up)

How many digits are there in the​ Hindu-Arabic form of 44,350•1019​?

Answers

Answer:

25 digits

Step-by-step explanation:

add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits

Hindu-Arabic numerals are a decimal, or base-ten, place-value number system with the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 as fundamental building blocks. Each digit in a number has a place value depending on its position.

If there are two boys to every three girls, what percent of the class is girls?

Answers

80% would be your answer.

1/3 divided by what equals 1/12

Answers

Answer:

You cannot get a positive answer for this, nor can you divide. You could however divide 1/12 by 1/4 to get 1/3.

Step-by-step explanation

The number whose 1/3 is 1/12 is 4.

What is Division?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

let 1/3 divided by x equals 1/12.

So, 1/3 ÷ x = 1/12

and, 1/3 (1/x) = 1/12

1/x = 3/12

1/x = 1/4

x = 4

So, the required number is 4.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

Pls help I need the answer fast

Answers

Answer:

2 2/9

hope it's helpful ❤❤❤

THANK YOU.❤

What the area for thos? A= 1/2 (bxh)

Answers

Answer:

A =8.75 ft^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh  where b is the base and h is the height

A = 1/2 ( 7 * 2.5)

A =8.75 ft^2

Answer. it fast please​

Answers

Answer:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]

Step-by-step explanation:

Given

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]

Required

Solve:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]

Simplify 6/10

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2[/tex]

Express 9 as 3^2

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2[/tex]

Apply law of indices

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}[/tex]

Express as a sing;e fraction

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}[/tex]

Apply law of indices:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]

1. Solve the system of equations.
y = –3x + 4
x + 4y = –6

A. x = –2,y = –1
B. x = –2,y = 10
C. x = 2,y = –2
D. x = 3,y = –5
E. x = 4,y = –8

Answers

Answer:

c.x=2,y=-2

Step-by-step explanation:

hope this help:)

On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
A. 2x+1
B. 2x + 7
C. 2x - 1
D. 2x - 7

PLEASE ANSWER ASAP IM TAKING THE TEST RN

Answers

5x - 3x = 2x. 4 - 3 = 1. A > 2x + 1

what is the equation​

Answers

Answer:

n = -7

Step-by-step explanation:

3n-27-2n-8=6n

n-35=6n

-35=5n

n=-7

Can someone answer the question ??

Answers

Answer:
Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm
Step-by-step explanation:
Driving distance between Manchester to London = 195 miles
Coach left Manchester = 3.30 pm
Average speed of coach = 50 mph
Total time taken by the coach to reach the Manchester to London = 195÷50 = 3.9 h
0.9 h = 0.9×60 mnt = 54 mnt
Now,
3.9 h = 3 h 54 mnt
Hence Faris' arrival time in London = 3.30 pm + 3 h 54 mnt = 7.24 pm

Work out the size of angle
X.
X Х
33°
20°
165°

Answers

Answer:

142 degrees

Step-by-step explanation:

The sum of angle in a quadrilateral is 360 degrees

33 + 20 + 165 + X =360

53 + 165 + X = 360

218 + X = 360

X = 360 - 218

X = 142

Hence the size of angle X is 142 degrees

There were 60 people on bus. 40% were female. How many people were females and how many were males?

Answers

Answer:

There were 24 females and 36 men on the bus

Step-by-step explanation:

To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36

Convert the expression (√5)(∛5) to exponential form. Show your work

Answers

Answer:

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

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

asking for the “x” in simplest form please help!!

Answers

Answer:

x = -0.441 and x = -2.359

Step-by-step explanation:

The given equation is :

[tex]2(5x+7)^2-13=33[/tex]

Adding 13 to both sides of the equation.

[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]

So,

[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]

So, the solution of the given equation is x = -0.441 and x = -2.359.

Write these numbers in order, starting with the smallest.
0.78
0.607
5.6
0.098
4.003

Answers

Answer:

0.098-0.607-0.78-4.003-5.6

Step-by-step explanation:

The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Calculation of the listing numbers:

Since the list of the number should be like

0.78

0.607

5.6

0.098

4.003

So here we sequence the numbers from the smallest to the largest

So it should be like 0.098-0.607-0.78-4.003-5.6.

Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Learn more about numbers here: https://brainly.com/question/24571514

Does this expression represent the sum 13.76 + 2.8?

fourteen and four hundredths

Answers

Answer:

False

Step-by-step explanation:

ir doesn't add up from what i saw

Find the product. 4 X 0.23

Answers

Answer:

0.92

Step-by-step explanation:

1

0.23

x. 4

———

0.92

Hope it helps

find x please hurry hurry hurry hurry hurry hurry hurry ​

Answers

Answer:

x = 1.00872652

Step-by-step explanation:

sinx= opposite/hypotenuse

sinx= 11/13

x = 1.00872652

Hope this helps:)

Answer:

x = 1.00872652

:D

Step-by-step explanation:

Write these numbers in standard form.
seven hundred and forty thousand

Answers

Answer:

740,000

Step-by-step explanation:

that is standered form yuh

Standard form 7.4*10^5

Jessica is selling books during the summer to earn money for college. She
earns a commission on
each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors.
B. She will lose $10 per week if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will
lose $30.
D. Her expenses are $30 per week.

Answers

It’s c I just took the test and got a hundred

What is 8/x^2 + 6x • 2x ?

Answers

Answer:

8+12x^4/x^2

Step-by-step explanation:

i know im right!

Answer:

16/x + 6

Step-by-step explanation:

Edge 2021

John was adding Rational Numbers. He showed his work below. What was John's error?

Explain to John how to solve it correctly.

Adding Rational Numbers Error.

Answers

Answer:

-5 3/5

Step-by-step explanation:

John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so

(-7 4/5) + (2 1/5), convert to improper fractions

-39/5 + 11/5, both fractions have common denominator so we can continue

-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions

-28/5 = (-25/5) + (-3/5) = -5 3/5

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation.

Answers

Answer:

4

Step-by-step explanation:

The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters.  Fill in the blank to write this number in scientific notation.

×10−9

Here is a circle.
The diameter of the circle is 9 cm.
Work out the circumference of this circle.
Give your answer correct to 3 significant figures.
12.11%2S:

Answers

Radius is half d so r us 4.5
Formula is 2x pi x r
So 28.3 to 3 s.f.

Slope and Y-Intercept:
Determine the slope and y-intercept
1. y = 4x + 3 m = ____ b = _____
2. y = -5x m = ____ b = _____

Answers

Answer:

m= 4 b=3

m= -5 b= 0

Step-by-step explanation:

From the equations given that is the answer

On a Math test, a student got 25 questions correct but did not pass. On a second attempt, the student got 36 questions correct. What was the percent of increase?

Answers

Answer:

44 percent

Step-by-step explanation:

hope this helps!

could you please mark me as brainliest? thanks!

identify the transformation shown by the two lines on the graph as a dilation or translation.
a) translation
b) dilation

Answers

Answer:

a) translation

Step-by-step explanation:

We have two lines on the map.

One is given by g(x) = -x + 1, and the other is f(x) = x + 1.

The change from f to g is given by:

[tex]g(x) = f(-x)[/tex]

Which represents a translation in the function.

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