Mathematics High School

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

Sheila rolled a number cube numbered 1 through 6 and tossed a coin for heads, H, or tails, T. Which list represents all the possible outcomes of rolling the number cube and tossing the coin ?
A) 1H, 2T, 3H, 4T, 5H, 6T
B) 12, 34, 56, HT
C) 12, 13, 14, 15, 16, 23, 24, 25, 26, 35, 36, 45, 46, 56, HT
D) 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T
Ill give you Brainliest , :)

Answers

Answer:

A

Step-by-step explanation:

its the most logical one to me

Answer:

A

Step-by-step explanation:

403, 395,387,...

Find the 36th term.

Answers

Answer:

n=36

a=403

d=395-403=8

an=a+(n-1)d

a36=403+(36-1)395

=14228

Answer:

the answer is actually 123

Step-by-step explanation:

Fred has 45 football cards. Scott has 1/5 as many football cards as Fred. How many football cards does Scott have?

Answers

Answer:

9

Step-by-step explanation:

Scott has 45 * 1/5 football cards

45 / 5 can be simplified to 9

Answer:

Scott has 9 football cards.

Step-by-step explanation:

If Scott has 1/5 as many football cards as Fred, then the number of football cards Fred has times 1/5 would result in the number of football cards Scott has;

Fred * 1/5 = Scott

45 * 1/5 = 9

Please Help If You Know The Answer! :) Which expression is equivalent to 8-(6r+2)?
A. -6r+6
B. 2r+2
C. 6r+10
D. -6r+10

Answers

Answer:

d

Step-by-step explanation:

take out of parenthesis so its 8-6r+2 and the 8 and to to get 10 and the -6r stays the same

In a certain​ chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains of copper. How many grams of zinc does it​ contain?

Answers

Answer:

4 grams of zinc

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Can somebody help me. Will marl brainliest.

Answers

Answer:

3. < ACB=<DCE

Step-by-step explanation:

3. < ACB=<DCE, because both are vertical angles which are equal

Did you find this helpful?

Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is

Answers

Answer:

63

Step-by-step explanation:

7x+9x=112

16x=112

x=7

7(7)=49

9(7)=63

Therefore 63 is the larger number

Need help ASAP!! I'll give brainliest to the correct answer!!!

A.) 18.7 units
B.) 10.5 units
C.) 9 units
D.) 13 units

Answers

Answer:

B.) 10.5

Step-by-step explanation:

Use ratios, but be careful.

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

The value of x in the given figure is 10.5 so, option B.) 10.5 units is correct.

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Using ratios;

AE/AD = AB/AC

14/18 = x/(x+3).

14x+42 = 18x

42 = 4x

x = 10.5

Thus, option B.) 10.5 units is correct.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

what is the sum of the 14th square number and the 6th square number?

Answers

14th square number = 196

6th square number = 36

The y candies you eat in x hours is found by y= 4x. How many candies do you eat in 10 hours?


Need help please 18 points ASAP ???? This is a test

Answers

Answer:

Given that you eat 4 candies an hour, over 10 hours, the total candies you have eaten is 40.

What’s the answer to this?

Answers

Answer:

I would say the answer is c p=6n+18 because im thinking you are dealing with input-output

Step-by-step explanation:

Helppppppppppppppppppp

Answers

I don’t quite understand what the question is

A car dealership has 240 cars in the parking lot and 17.5% of them are wrecked of the other six cars in the lot each color has the same number of cars every one of the colors black how many black cars are there in total total

Answers

Answer:

33 cars

Step-by-step explanation:

The computation of the number of black cars in total is shown below:

Given that

There is a car dealership of 240 cars

And,17.5% of them are wrecked

So, the wrecked cars is

= 17.5% of 240 cars

= 42

Now the number of other cars would be

= 240 - 42

= 198

And it is mentioned that there are other six colors lot

So the number of black cars would be

= 198 ÷ 6

= 33 cars

Isaac's goal is to earn at least $80 toward a week at soccer
camp. He has earned $32 so far. How much more does he need
to earn?
Which inequality fits this situation?

Answers

Answer:

x greather than equal to 48

Step-by-step explanation:

Look he needs AT LEAST $80. So the sign is greater than or equal to.

So the inequality is x+32 is greater than or equal to 80

x greater than or equal to 48

What is 14 x 14 x 14 is exponet form

Answers

14^3 so 14 with an exponent of 3

Answer:

14^3

Step-by-step explanation:

HELP ME PLZZZ This is the only table I don't know,

Answers

Answer:

apples: 6/8 = $0.75 per apple

pears: 1.25/1 = $1.25 per pear

peaches: 1.50/1 = $1.50 per peach

bananas: 4/6 = $0.67 per banana

"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.

Step-by-step explanation:

I hope this helps :)

Samantha types 40 words per minute. How many words can Samantha type in 8 minutes?
A. 48 words
B. 240 words
C. 320 words
D. 360 words

Its 320 correct ?

Answers

Answer:

Yes, 320 is the correct answer

Step-by-step explanation:

you multiply 80 x 4, then you get ur answer, 320.

Answer:

C. 320 (correct)

Step-by-step explanation:

If Samantha can type 40 words per minute, to find the number of words Samantha can type in 8 minutes, multiply 40 by 8.

40×8=320

Therefore, Samantha can type 320 words in 8 minutes.

I hope this helps!

HELP PLEASE WHAT IS THIS​

Answers

Answer:

B

Step-by-step explanation:

vertical line test means draw lots of vertical lines and see if they pass through two or more points

if they do, the graph is not a function

for example, x= 0 passes through two points

so it is not a function

There are 4 rows of 6 tiles. There are how many tiles?

Answers

The answer is 24 tiles

Answer:

24

Step-by-step explanation:

multiply the length (4) times the width (6) and you get the area (24)

what is the power to 2​

Answers

Answer: i think its 4

Step-by-step explanation:

What is the volume of a right circular cylinder with a radius of 6 m and a height of 9 m?


54π m³

108π ​m³

​324π ​m³

486π m³

Please Help.

Answers

Answer:?

Step-by-step explanation:

Answer:

324pi

Step-by-step explanation:

Volume = r^2*pi*h = 6^2*pi*9 = 324pi

A ferry travels 45 miles every $1\frac{1}{2}$

hours.

Answers

what is the question?

Answer:

90

Step-by-step explanation:


Graph the line with the equation y=2/5x + 3.

Answers

Answer:

3r=2

Step-by-step explanation:

The line would go through the points (-7.5,0) and (0,3)

Can someone plzz help me with this? To put it on order on the number line??

Answers

Answer:

1/4   1/2    1.5     1 3/4     1.75

Answer:

1/4, 1/2, 1.5, 1 3/4, 1.75

Step-by-step explanation:

1 3/4 and 1.75 is the same  tho

Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?

Answers

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

3 pizzas hope this helps i’m not good at explaining

divide the polynomial:
9x^2-21x-20 / x-1

Answers

Answer:

[tex]9x-12-\frac{32}{x-1}[/tex]

Step-by-step explanation:

Divided using polynomial division. Hope this helps!

Jeremy built an office with a floor area of 55/14 square feet. The office is rectangular in shape. If the length of the room is 8 1/2 feet, what is the width of the room?

Answers

Answer:

110/289 feet

Step-by-step explanation:

Step one:

given data

Area of the floor= 55/14 square feet.

The length of the floor= 8 1/2 feet-----convert to simple fraction= 17/2 feet

Step two:

The expression for the area of the room is

Area= L*W

55/14= 17/2*W

55/14=17W/2

cross multiply

17W*14=55*2

289W=110

divide both sides by 289

W= 110/289 feet

1/2n + 2n + 3/2n - 1

Answers

Answer:

B

Step-by-step explanation:

Answer:

next question is a1= 1 and r=2

have a nice day :)

Step-by-step explanation:

The points in the table lie on a line. Find the slope of the line. helppp pls and if you can explain how u did it thank you

Answers

The slope is 2/5
Use these coordinates
(-3,0) & (12,6)

Graph f(x) = 3/2x + 2.

Use the line tool and select two points to graph the line.



Answers

Answer:

(0,2) and (2,5)

Step-by-step explanation:

Other Questions
PLS HELP!! WILL GIVE BRAINLIEST!!! WORTH 10 PTS!!! ;A;In his poem numbered XXII, William Carlos Williams makes this claim:so much dependsupona red wheelbarrowglazed with rainwaterbeside the whitechickensWhat are TWO representations of the wheel barrow?- happiness- success at school- the words to a song- a good day's work Im just doing it for my niece but who knows it What is a scientific question? 2. Our sun converts 700 million tons of hydrogen into 695 million tons of helium everysecond.O TrueFalse Greta has 12 pens and 20 pencils in her desk drawer. What is the ratio of pens to pencils in her desk? So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest ton ? Why are construction sites considered major sources of water pollution?" 1 pointThey introduce high levels of salt into local water sources.Soil erosion rates accelerate dramatically, impacting water quality in streams andriversThey cause sinkholes to form, which pollute local water sources.Sawdust leaches into the soil, causing the water that runs into rivers and streams tobe cloudy and full of particles what is the soulution to the equation 13 3/4+x=7 1/4 How did Martin Luther feel about indulgences? Why? How does Petruchio leave the wedding feast? What reason does he give for leaving in his monologue (III.ii.228-246)? Which group tends to vote more than others?WealthyYoungUneducatedPoor The chemical equation for cellular respiration is:glucose + oxygen ----> your mamacarbon dioxide + water sunlight --->glucose + oxygenoxygen + carbon dioxide glucose + waterglucose + oxygen --->carbon dioxide + water + ATP (energy) Solve the radical equation. Quick !!! Show work ! -26x + 3 = -18 Write an equation in point slope form for the line through the given point with the given slope.(-7, 9); m: 4/5A. y+7=4/5(x-9)B. y-7=4/5(x+9)C. y-9=4/5(x-7)D. y+9=4/5(x-7) given the function f(x)=x^2+5,evaluate f(-10) Can you please tell me what the answer is Antonio tried to evaluate an expression. Here is his work: (578+5)9(1714) = (49+5)93 Step 1 = (49+5)27 Step 2 = 5427 Step 3 = 2 Step 4 Is Antonio's work correct? complete the function table for the given domain and plot the points on the graph f(x)=(x-5)^2+1 Help? Will give brainliest What is the correct order of steps to follow in the engineering design process?