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

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

Answers

Answer 1

Answer:

The value of x = √6/2

Step-by-step explanation:

Given

The hypotenuse of triangle = √2

Ф = 30°

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 30°

Adjacent to 30° = x

hypotenuse = √2

so substituting

cos Ф = adjacent / hypotenuse

cos 30° = x / √2

x = √2 × cos 30°

x = √2 × √3 / 2

x = √6/2

Therefore, the value of x = √6/2


Related Questions

Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5 seconds. An equation representing this isg=35t,where t is the time in seconds and g is the number of gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?

Answers

Answer:

about 267 hours

Step-by-step explanation:

PLEASE HELP ME WITH THIS ITS NOT EVEN HARD IM JUST REALLY LAZY

Answers

Answer:

1) 8

2) 2

3) 1

4) 4

5) skiing, snowboarding,ice skating, sledding

Step-by-step explanation:

Answer:

1.) 8

2.) 2 more people

3.) 1 less for skiing

4.) 4

5.) Skiing, Snowboarding, Ice skating, Sledding,

Someone plzz help Will BRAINLIEST

Answers

i hope you understand

4x+3y=8
4x-8y=-52
Good luck
You can use substitution or elimination for this problem


1) A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix
follow the recipe?
Yes
No
A 4 cups of fruit juice and 10 cups of water
Yes
No
B 0.5 cup of fruit juice and 1 cup of water
Yes
No
с
1 cup of fruit juice and 2.5 cups of water
Yes
No
D
7 cups of fruit juice and 17 cups of water

Answers

Answer:

yes, no , yes, no in order

Step-by-step explanation:

I need this ASAP but it’s ok if you see it late

Answers

Answer:

72 square units

Step-by-step explanation:

move above the dotted line to make a rectangel then the numbers are 6 and 12 then times them to get 72

Graphing using the y intercept and slope: y = - 3x + 5 b(y - intercept) = m(slope) =

Answers

The answer is 3x- I just took the text

Solve for x. The polygons are similar. 4 2x – 12 5 10 10​

Answers

Answer:

Step-by-step explanation: THIS WAS ACCIDENTAL! IM SO SORRY.

Solve t/−4=9

I know t=36 but i need the steps to show my work plz help

Answers

Answer:

I have made it in a pic look at this

I need help with this

Answers

Answer:

An arrow pointing to the left with an unshaded dot

Step-by-step explanation:

16x < -64

Divide both sides by 16;

x < -4

What is an equation of the line that passes through the points (7, 4) and (-5, 4)

Answers

Answer:

Equation of the line that passes through the points (7, 4) and (-5, 4) is

[tex]y=4[/tex]

Step-by-step explanation:

Equation of line in two point form is given as

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]  ----------(1)

Here

[tex](x_1, y_1) = (7, 4) \ \ \ and \ \ \ (x_2, y_2)=(-5, 4)[/tex]

Substituting values in equation (1)

[tex]y-4 =\frac{4-4}{-5-7} (x-7)[/tex]

[tex]y-4 =0[/tex]

[tex]y=4[/tex]

Estimate and solve 4,624 ÷ 72 = ________. (2 points)
66 r 22
66 r 16
64 r 22
64 r 16

Answers

the answer is C. 64 r 22

Pls help I give u 50 points

Answers

Answer:

interest: $60

Payment: $360

Step-by-step explanation:

I = Prt

Interest for four years = 300 * 0.05 * 4 = 60

P = P₁ + I = 300 + 60 = 360

What is the answer to this question really need the answer

Answers

Answer:

A, B, D

Step-by-step explanation:

2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)

can someone help me with this also? Thanks! i need the explanation to so I can do it by myself after.

Answers

With what there’s nothing
, my friend I think you forgot to post the picture

6x4 as repeated addition

Answers

Answer:

6+ 6+6+6

or

4+4+4+4+4+4

Step-by-step explanation:

6 (4 times)

4 (6times)

(brainlist please):D

Answer:

6+6+6+6   or 4+4+4+4+4+4

Step-by-step explanation:

You can add them out

Linear Inequalities Unit Test answers please I cant figure out almost all of it im from pearson online academy and ive been studying for weeks but still dont understand the material

Answers

Answer:

without any questions i cant answer

Step-by-step explanation:

y = 2x + 1
y = -2x + 1
y = -2x - 0.5
y = 2x - 0.5

Answers

have you seen how he answers questions? doesn't deserve to have people answer his

Step-by-step explanation:

which expression is equivalent to 3x - -3y

Answers

Answer:

3x + 3y

Step-by-step explanation:

The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.

3x+3y
The two minus signs cancel each out and you add it instead.


True/ False:
The distance formula helps you determine the length of segments

Answers

False hope this helps!!

(2+6 +8+54 +...);S 12

Answers

what is the equation?

10 when solving the equation, what property was used to go from Step 2
to Step 3?
Step 1: -(2x + 3) = x - 18
Step 2: -2x - 3 = x - 18
Step 3: -3 = 3x - 18
A. Addition Property of Equality
B. Subtraction Property of Equality
c. Multiplication Property of Equality
D. Division Property of Equality

Answers

The Addition Property of Equality

A bag contains 8 red marbles, 2 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be green?

Answers

Answer:

00

Step-by-step explanation:

it is 0

A company makes cylindrical candles by melting wax and putting into 3 inch diameter cylindrical jars one block of candlewax with a volume of 360 in.³ is used to make a box of 10 identical candles

Answers

I believe the answer is 1in

Answer: I said 1 inch. I am not 100% sure.

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

no I can't srry tdjfjfzkhdzlhfzljgxjghc,lhfzjfzlhdzlhfzulf

Answer:

B. 9 shirts

Step-by-step explanation:

do 12x0.75 and you'll get 9

HELPPP PLASE ITS DUE REALLY SOOOONNNNNNNNNNNN!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4 sorry of its not right

How to write a number n minus 4 equals 8 - HELP ASAP, FIRST CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

12-4=8

Step-by-step explanation:

Answer:n equals 12

Step-by-step explanation:

12-4 equals 8

Solve for x:

a

3
b

9
c

1.5
d

13.5

Answers

Hi there! :)

[tex]\large\boxed{\text{ x = 9}}[/tex]

The two angles pictured are vertical angles, therefore:

8x - 6 = 6x + 12

Solve for x by subtracting 6x from both sides:

2x - 6 = 12

Add 6 to both sides:

2x = 18

Divide both sides by 2:

x = 9.

Answer:

9 is ur answer

Step-by-step explanation:

8x-6=6x+12

8x-6x=12+6

2x=18

x=9

Hope this helps u...

Spider monkey the tail is. 60% of the length shown. What is the length of its tail

Answers

Answer:

male monkeys tail can have 1 to 1.5 feet or 31 to 45 cm

female monkeys tail can have 2.1 to 2.5 feets or 64 to 75 cm

Buddy’s family’s bowling team won 3/5 of its game this season. In 2/9 of the games they won, they out scored their opponents by more than 20 points.
What fraction of all of the games did the team win by more than 20 points? Simply answer.

Answers

Answer:

Hi how are you doing today Jasmine

Pls help as fast as u can

Answers

Answer:

Step-by-step explanation:

a)4.67

b) 2.27

do you not have a calculator?   :/

Answer:

a. $2.2

b. $2.2

Step-by-step explanation:

Not completely sure if it's right for part b, but 100% sure my answer for part a is right.

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