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

solve the equation by combining like terms: 3x-5+12-2x=12

Answers

Answer:

482

Step-by-step explanation:

3x-5=178+12=82-22x=482

3x-5+12-2x=12
X+7=12 (by combining like terms you have your X’s and your regular numbers. So in this equation we have 3x and -2x as like terms and -5 and 12 as like terms. We combine them to simplify the equation. So by combing 3x and -2x, 3+(-2x), we get 1x or just x. Then we combine -5 and 12, -5+12=7).
X+7=12
-7 -7
X=5
Good luck and I hope this helps!

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

It largely depends on required margin of error but I would say that the tested population size is going to be too small.

Help is for my geometry homework, could someone explain me. ☆​

Answers

Answer:

i think you subtract 67 from 137 so its 70

Step-by-step explanation:

67-137

Determine the intercepts of the line.

Answers

x=(-250,0)
y=(0,100)
hopefully this helps

uhm second time? i dont know this question. what is








































































































-1 + -1 = ?

pls help me

Answers

Answer:

- into + equals to -

so -1+ -1= -1 -1

Answer is -2

Step-by-step explanation:

yall i need just 1 more please i need to turn this in asap!help a girl out pls​

Answers

Answer:

a. 13.3

b. 16.3

Step-by-step explanation:

Hope this is right.

please help. i will mark brainliest for whoever is correct.

Answers

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

about 7/10of the surface of the earth is covered with water. express this as an equivalent fraction with 100 as the denominator. the fraction with 100 as the denominators are known as per cent. 50/100 means 50 per cent. so what percentage of the earth's surface is covered with water? what percentage is covered with the land?

Answers

Answer:

70%

Step-by-step explanation:

The nth term of a sequence is n-4
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.

Answers

Step-by-step explanation:

a) 1st term: 1-4= -3

2nd term: 2-4= -2

3rd term: 3-4= -1

b) FORMULA: a1 (n-1) d

a1 (first term): -3

d (difference): 1

-3 (n-1) 1

-3-1n-1= -1n-4

hope it helps! please make me brainliest..

Thank you! have a good day ahead ☺️

Write an expression for the sequence of operations described below.subtract 4 from the sum of 2 and y

Answers

Answer:

( 2 + y ) - 4

Can someone help me?

Answers

Answer:

Purple -3 is the answer

Step-by-step explanation:

We start by opening the bracket

That would be;

x-x-3

= 0-3 = -3

So selecting the correct option, we can see that our answer is purple

my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate

Answers

equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)

Answers

Answer:

f 41/50

Step-by-step explanation:

y= 1/6x - 1


Find the slope

Answers

Answer:

m=1/6

Step-by-step explanation:

3x -(-2-4x)=
What does this equals??

Answers

Answer:

7x + 2

Step-by-step explanation:

Original Equation: 3x − ( −2 − 4x)

First, we distribute the negative sign:

= 3x + (−1) (−2−4x)

=3x + (−1)(−2) + (−1)(−4x)

= 3x + 2 + 4x

Using the communitive property of addition, we can write:

= 3x + 4x + 2  (Instead of 3x + 2 + 4x)

Combining like terms, we get:

= (3x + 4x) + 2

= 7x + 2

solve x-5y=-30, 3x+5y=10 show your work

Answers

1) x = 5y - 30  

2) x = - 1.6y + 3.3

im assuming these are 2 different questions

Explanation:1)

Start with the equation:

x - 5y= -30

add 5y to both sides:

x = 5y - 30

Your answer is x = 5y - 30  

2)

Start with the equation:

3x+5y=10

subtract 5y from both sides:

3x = -5y + 10

divide by 3 to get x singular

x = - 1.6y + 3.3

Your answer is x = - 1.6y + 3.3

Hope this helps :)

Your receipt for your visit at a restaurant is
shown below. If you leave a 15% tip, what is the
new total amount? Explain your method.

pls hurry

Answers

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

Answer:

36.66

Step-by-step explanation:

Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.

what is the equation for the line in the slope intercept form enter your answer in the box ​

Answers

Answer:

i belive it is y=-4x+5

Step-by-step explanation:

i just did the test

Answer: Y-4+5 Is the answer

Step-by-step explanation:

I need help. This has to be in within a hour. Question 3, Will mark branliest if helped!

Answers

Your multiplying 2 on the 4,8,16,32 one then adding 1 on the 1,2,3 one which could determine the rate of change

4^3 + (-2) ^4 = ?
evaluate?

Answers

Answer:

80

Step-by-step explanation:

PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.

F(x)=2x^3-5 is this a one to one function

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf Yes \ it\ is \ one\ to \ one \ function .}}}[/tex]

Step-by-step explanation:

A function is said to be be one-to-one ( injective) if every y-value has only one corresponding x-value. The given function is ,

[tex]\bf \implies f(x) = 2x^3-5\\\\\bf\implies y = 2x^3-5 [/tex]

Here I have made the graph of " Desoms Graphing calculator. "

Now ,on plotting its graph we see that every y-value has only one corresponding x-value . Hence , ihe given function is a injective function that is one to one function.

Hence the given function is one to one ( injective ) function.

The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.

Answers

Answer:

B

Step-by-step explanation:

I know because I know that how

The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.

Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.

The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.

Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ7

Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum
of their ages is 44, then how old is each girl? (Let Maria's age = z.)

Answers

Answer:

Hi! Maria is 15 years old, Selena - 17 and Sofía - 12

Hi there! Maria is 15 years old, Selena is 17 years old and Sofia is 12 years old.

There are 68 female teachers and 29 male teachers at Josie's high school. What is the ratio of the number of female teachers to the total number of teachers?

97:68
29:68
97:87
68:97

Not that hard but I did end up confusing myself.

Answers

i think it’s 68:97 from what i know
68:97 :] 68+29= the total amount of teachers which is 97, the ratio is female teachers:total teachers

last one! Please help me !!

Answers

Answer:

1.) A      2.) B

Step-by-step explanation:

Formula: a^2+b^2=c^2

4^2+3^2=5^2

Proof:

4^2=16

3^2=9

9+16=25

5^2=25

can some please helppp

Answers

Answer:

8

Step-by-step explanation:

8 because the ratio shown has everything in the x doubling as it goes on

Please help me vote brinlest

Answers

Answer:

14 > 6

Step-by-step explanation:

because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number

please hellp find x y and z

Answers

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)


What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4

Answers

The ratio is c I hope this help you

Answer:

Step-by-step explanation:

7

County Middle School is buying pizza for all of its students. Each pizza has 8 slices. Each student will receive 1 slice. There are 700 students at County Middle School. How many pizzas will the school need to buy?

Answers

Answer:

88 at least

Step-by-step explanation:

So, if you need to give each student a slice remainders round up to the nearest whole number. So first you simply divide 700/8 (Students/Pieces of pizza per slice) and get 87.5. Then you round up to 88 since you cannot buy half a pizza (that's weird). You will have 4 extra slices to feed the teachers btw.

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