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:

[tex] x = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2} [/tex]


Related Questions

The table shows Mitch’s record for the last thirty par-3 holes he has played.
Based on this record, what is the probability that Mitch will score a 2 or 3 on the next par-3 hole?
a. 7/9
b. 3/5
c. 3/10
d. 9/50

Answers

Answer: THE ANSWER IS D

Step-by-step explanation:

hELp mEEEEEEE pLssssssss

Answers

Answer:

its #3

Step-by-step explanation:

hope this helps

it's 3

Step-by-step explanation:

Hope it is correct

Noah solved three math problems. The first problem took him 1 minute. The second problem took him 30% longer than the first problem, and the third problem took him 50% longer than the second problem. How long did it take Noah to solve all three problems?

Answers

60 seconds * 1.30 = 78. 78 seconds * 1.5 = 117 seconds.

117+78+60= 225 seconds.

225 seconds is your answer! :)
Hopefully this helped!

What is angle D equal??

Answers

63% Please Give me Brainlyest

Solve for z.
6z+ 3 - 4z = 9

Answers

Answer:

z = 3

Step-by-step explanation:

What is the midpoint of the segment with endpoints (0,7) and (5,2)

Answers

Answer:

( 2.5 , 4.5 )

Step-by-step explanation:

1 r 2 (the symbol is pi) is the formula to find the area of a
Select one:
a. square
b. hexagon
O c. triangle
O d. circle

Answers

Answer:

d: circle

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

the answer is d. circle

13. What is the slope of the line of best fit for the given
graph?
a) -0.3
b) 0.3
d) -3
c) 3
0

Answers

I would say 0.3. This is because the slope is positive but less than 1. Sorry that’s not the best explanation

Decrease 60kg by 40%

Answers

40% of 60kg is 24 kg. Therefor the answer is 36 kg

Answer:

36 KG

Step-by-step explanation:

This is how I did it:

60 x 0.6 = 36

1 = 100%

0.4 = 40%

but you have to decrease so

100% - 40% = 60%

60% = 0.6

The average mark scored by 29 students in a science test was 56%. John was sick, so he sat the test late and scored 71%. Including John's score, what was the new mean mark?

Answers

Answer:B

Step-by-step explanation:

BRAINLIEST FOR WHOEVER SOLVES
ameliaswan

Answers

Answer:

8/22 for the first box and 2 for the second box.

Step-by-step explanation:

Because the 2 extremes are 10/5 and 8/22, those would be the two answers.

Answer:

Step-by-step explanation:

Select ALL of the correct answers. COULD BE more than one answer.

Answers

Answer:

This study uses a control group

This study uses a repeated measures design

Step-by-step explanation:

Hope it help

Please mark me as brainliezt

Sorry if my answer is wrong

please answer due today

Answers

is there another piece to this?

Un avión dispone de 24 asientos en clase A y de 62 asientos en clase B cuya venta supone un total de $15,390. Sin embargo, sólo sea han vendido 10 asientos en clase A y 40 en clase B, obteniendo un total de $8,750.
¿Cuál es precio de un asiento en cada clase? Ayuda por favor!!

Answers

Answer:HOLA I Do not speack spanish

Step-by-step explanation:

700​% of what number is 4,340​?

Answers

Answer:

620

Step-by-step explanation:

100% must be the the answer so 700% must be 7 times that number.

4340÷7=620

620

Hope this helps!!!

Part B
Based on your calculations in part a, did Kelvin ski twice as long without falling as anyone else in the family?

Answers

Answer:

Yes, Kevin skied twice as long as Lori without falling.

Step-by-step explanation:

Kevin's time was 223 sec and Lori's was 110 sec.

110 x 110 = 220

Since Lori's time was 110 seconds and twice that is less than Kevin's, which was 223.

Thus we have our answer:

Yes, Kevin skied twice as long as Lori did without falling.

Hope it helps!!

A small plane has 20 rows of seats. Each row has 4 seats.


Find the total number of seats on the plane.


How many seats are on 3 small planes?

Answers

Answer:

the total number of seats on the plane

Step-by-step explanation:

Total number of seats on a small plane is 80 and 3 small planes have 240 seats in total

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

A small plane has rows of seats = 20

Each row have seats = 4

Total number of seats on a small plane = 20*4

                                                                 = 80 seats

Therefore,

3 small planes have total seats = 3 * 80

                                                    = 240 seats

Hence, Total number of seats on a small plane is 80 and 3 small planes have 240 seats in total

To know more about unitary method here:

https://brainly.com/question/21648365

#SPJ2

REASONING Tell whether the rates are equivalent.
75 pounds per 1.5 years
38.4 ounces per 0.75 year

Answers

Answer:

No, either convert pound to ounces or the other way around.

Step-by-step explanation:

Use 1 lb= 16 oz so 75 lb=16 x 75 =1200 oz ---> 1200 ounces per 1.5 years..

---> 1200 oz/1.5 years (1)

The second equation is 38.4 ounces per 0.75 years  , will be the same as 76.8 ounces per 1.5 years.---->76.8 oz / 1.5 years  (2)

So compare (1) and (2) are not equivalent....

The rates are not equivalent to each other..

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

Use 1 lb= 16 oz

Thus 75 lb=16 x 75 =1200 oz

Means 1200 ounces per 1.5 years..

Now 1200 oz/1.5 years ----- (1)

The second equation is 38.4 ounces per 0.75 years which will be the same as 76.8 ounces per 1.5 years.

76.8 oz / 1.5 years ----- (2)

So compare (1) and (2) are not equivalent to each other.

Learn more about expression here;

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Which graph shows y = 2x - 1/2?

Answers

Answer:

Third down

Step-by-step explanation:

2x = slope

-1/2 = y-intercept

It’s the third one down

Two numbers have a sum of 7. When the smaller number is subtracted from twice the larger number, the result is 20. Which is the following is the larger number.
11
9
15
12
Which is it?

Answers

Answer:

9

Step-by-step explanation:

according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):

1. 'two numbers have a sum of 7' means s+l=7;

2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.

3. the system of two equations is:

[tex]\left \{ {{s+l=7} \atop {2l-s=20}} \right. \ => \left \{ {{s=-2} \atop {l=9}} \right.[/tex]

4. the larger number is 9.

The larger number would be as follows:

[tex]9[/tex]

What are numbers?

Let the two numbers (larger and smaller) be [tex]= x ; y[/tex] respectively.

[tex]x + y = 7[/tex]

So, [tex]y = 7 - x[/tex]

Given that,

The Smaller number subtracted from twice large number gives 20. Thus,

[tex]2x - y = 20[/tex]

Putting the value of [tex]y, 2x - (7 - x) = 20[/tex]

[tex]2x - 7 + x = 20[/tex]

[tex]3x - 7 = 20[/tex]

[tex]3x = 27[/tex]

[tex]x = 27 / 3[/tex]

∵ [tex]x = 9[/tex] [The larger Number]

The smaller number [tex]'y' = 7 - 9 = -2[/tex]

To learn more about 'variables' solving,' refer here:

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Can someone help me with this geometry question?

Answers

13.73cm^2

You can apply the same apoproach from the other question. It's the area of the square minus the area of the circle. So,

Area of the square is 8x8=64

Area of the circle is (pi)*(radius=4)^2=50.27

64-50.27=13.73cm^2

2. A spy uses a telescope to track a rocket launched vertically from a launch pad 6 km away. The rocket travels upwards at a velocity of 21.6 km per minute. Find the rate of change of the distance between the spy and the rocket when the rocket is 8 km in the air. Answer: 17.28 km/mim

NEED HELP ASAP

Answers

Answer:

The rate of change in distance between the spy and the rocket is 10.8 km/min,

or about 180 m/sec.

Step-by-step explanation:

At "Time=0" the rocket is 6km from the spy.

The rocket travels vertically 8km in about 0.37 minutes, calculated by 8km÷21.6km/min.

At that point, the rocket is 10 km from the spy., calculated by 6²+8²=10²

The difference is 4 kiilometers over 0.37minutes, about 22.2 seconds

Divide Distance by Time to get Rate:

4km/0.37min = 10.8 km/min

That is about 180 meters per second.

please help only answer if you know please

Answers

Answer:

a)Let the number of avocados that I brought be a and number of oranges be r.

b)    a+r=28 ---(1)

    a+2r=44 ---(2)

c) a+r=28

       a=28-r ---(3)

sub (3) into (2), 28-r+2r=44

                                    r=16

sub r=16 into (3), a=28-16

                            a=12

∴ I brought 12 avocados and 16 oranges.

Avocados = x
Oranges = y

x+y=28
x+2y=44

x=28-y
(28-y)+2y=44
2y-y=44-28
y=16

x=28-16
x=12

You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 250 minutes. Determine the real limits of 250.

Answers

Answer:

the real limits are;

Lower Real Limits = 249.5

Upper Real Limits = 250.5

Step-by-step explanation:

Given the data in the question;

1 minute being the smallest unit on the scale

so we say; 1/2 which 0.5 minutes which we will use to calculate pur real limits time;

given that; the first subject sleeps 250 minutes

so

Lower Real Limits will be;

Lower Real Limits will = 250 - 0.5 = 249.5

Also our Upper Real Limits will be;

Upper Real Limits = 250 + 0.5 = 250.5

Therefore; the real limits are;

Lower Real Limits = 249.5

Upper Real Limits = 250.5

Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5

Answers

Solve the system of linear equations below, using substitution method.

8x + 9y = 36

3x + 4y = 16

your answer is in attachment....

See attached picture

Answers

Answer:

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]

Step-by-step explanation:

Given

[tex]f(x)= x^2 + 2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x)= x^2 + 2[/tex]

[tex]f(x+h) = (x+h)^2+2[/tex]

[tex]f(x+h) = x^2+2xh+h^2+2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{x^2 + 2xh + h^2 + 2 - x^2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]= \frac{x^2 - x^2+ 2xh + h^2 + 2 - 2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{2xh + h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x + h[/tex]

4 1/6 divided by 10

Answers

Answer:

~0.42

Step-by-step explanation:

Convert the fraction (4 1/6) to an improper fraction

25/6 = improper form

Now convert the improper fraction to a decimal

4.166666666666667

Now we can divide that by 10

4.166666666666667 ÷ 10

0.4166666666666667

And we can round that up to the nearest hundredth

4 or less, let it rest, 5 or more, let it sore

0.42

Hope this helped!

Have a supercalifragilisticexpialidocious day!

What is the value of 15x - 20x?

A. -35x
B. -5x
C. 5x
D. 35x

Answers

Answer:

Step-by-step explanation:

15x - 20x = -5x

answer is B

Answer:

Its b

Step-by-step explanation:

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer: 12.53 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]h^2=x^2+y^2\\ \\ x^2=h^2-y^2\\ \\ x=\sqrt{h^2-y^2}\\ \\ x=\sqrt{121-36}\\ \\ x=\sqrt{85}[/tex]

What is the answer to 30% of 50?

Answers

Answer:

15

Step-by-step explanation:

Use the x method or cris cross

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