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

Step-by-step explanation:

30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

create a proportion:  (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)

cross-multiply:  6x = [tex]\sqrt{3}[/tex]

divide by 6


Related Questions

(2x10^5) divided by (4x10^2)

Answers

Answer:

[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]

Step-by-step explanation:

[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]

Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!

Answers

Answer: did you ever get the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

4n - 3 = -2n + 9 when n = 2​

Answers

Answer:

Step-by-step explanation:

4n-3=-2n+9, we move the variables in one side and numbers on the other side

4n+2n=9+3

6n=12

divide by 2

n=2

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

HELP AS SOON AS POSSIBLE PLEASE!

Answers

Answer: A is correct

Step-by-step explanation:

all possible chances between two people are 100 different possibilities. Once you add the possibilities, you can see there is 15 balloons with the medium prize. Multiply 15 by 2 and you'll get 30/100, which simplifies to 3/10

Who is drinking the fastest

Answers

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

When the British system of units was first developed, what was the most
common object used as a basis for measuring length?

A. Animals
B. The king's castle
C. The human body
D. Automobiles

Answers

Is the letter b ok bro

Add. Express your answer in simplest form. 225+445 = $$

Answers

The simplest form of this sum is 670.

Please help please please help me please please

Answers

Answer:

8.88

Step-by-step explanation:

With reference angle 42°

hypotenuse (h) = 12

base (b) = x

Now

cos 42° = b / h

0.74 = x / 12

x = 0.74 * 12

x = 8.88

Answer:

the answer is 48 I think

Step-by-step explanation:

I did it by sub 90 and 42

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

A store buys an item for $94. The store then prices the item to sell to customers. What is the selling price (in dollars) the store sells the item to customers for after applying a 62% markup? If necessary, round the answer to the closest hundredth.

Answers

Answer:

$152.28

Step-by-step explanation:

In order to determine the markup, multiply the original price by 62%

94 x 62% = 94 x .62 = 58.28

In order to determine the sale price, add the markup to the original price.

94 + 58.28 = $152.28

triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle

Answers

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer:

-1704

Step-by-step explanation:

5, -14, -33

it goes down by 19 each time

nth term: -19n+25

91st term is 91 times -19=-1729+25=-1704

Select the three situations that model a sum of zero.
Explain your answer. ​

Answers

i believe it’s the first third and fourth because, 10 and -10 cancel out to 0, moving 12 and going -12 back also cancels out and the car returns to the ground so the toy car ends in the same place it started

Answer:

Step-by-step explanation:

1,2,4

Help out pls ill mark u brainliest

Answers

Answer:

B = 119

C = 119

Step-by-step explanation: 180 - 61

B and C are vertical angles

MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)

Answers

Answer:

b

Step-by-step explanation:

the first graph: use the points (0,1) and (4,2) to get a slope of 1/4

function b's slope is 3/4, clearly greater. so B

Well, the answer to this question is function B

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answers

Answer:

Length = 36

Width = 52

Step-by-step explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52

A school band is buying new jackets and hats. A jacket
costs $100 and a hat costs $40. The expression 100j + 40h
represents the cost of į jackets and h hats. How much will 5
new jackets and 8 new hats cost?

Answers

Answer:

it will cost 1820

Step-by-step explanation:

add 100 + 40=140 x 13=1820

Hoped it helps

Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).

Answers

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?

Answers

Answer:

Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop

Answer: 4 ounces per drop

=======================================================

Explanation:

"Per drop" means "per 1 drop" or "for each 1 drop".

We start off with the ratio of

3 drops: 12 ounces

Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"

Doing so gets us the new ratio of

1 drop: 4 ounces

So he uses 4 ounces per drop.

Brainliest to right answer

Answers

Answer:

4,-2

Step-by-step explanation:

The line passes through the Y Axis and slopes 4 and -2.

Answer:

slope = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line

m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]

I need the equation that passes through the point

Answers

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

solve each inequality and graph the solution .

2x-8<4

Answers

Answer:

inequality is x < 6

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

60 on delta math

Answer:

60

Step-by-step explanation:

delta math answer

10x + 5 - 2x + 9x.

HELP IMMEDIATELY PLEASEEE​

Answers

Answer: 17x+5

Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5

Answer: 17x+5

Step-by-step explanation:

10x+5-2x+9x

10x-2x+9x+5

17x+5

How many groups of ten are there in 230

Answers

Answer:

23

Step-by-step explanation:

230/10=23

since it got deleted last time -_-

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

Help plss I will mark as brainlest if correct

Answers

Answer:

ok

Step-by-step explanation:

Answer:

if im not mistaken it should be y=0x+-3

Step-by-step explanation:

well i took the points -8.,0 an -3,0 an got the slope of 0 , so i did the formula y=mx+b m is slope wich is 0 so y=0x+? so i looked at where the line passes through the y axis an it went through at -3 therefore your answer is y=0x+-3

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

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