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

WILL GIVE BRAINLIEST!!!

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.WILL GIVE BRAINLIEST!!!

Answers

Answer 1

Answer:

x=3

Step-by-step explanation:

The triangle has angles 30,60,90

In this type of right triangle, the ratio of the sides is 1:square root of 3:2

In this type of triangle, the square root of 3 is equal to the 1 in the ratio above because it is across from the angle 30

With this, we multiply the ratio at the top by the square root of 3

since x is across the angle 60, we multiply square root of 3 by the square root of 3 which equals 3.

I hope this makes sense


Related Questions

An algebra class normally has y students, but today it is just 2/3 full. Express the number of students in class today terms of y.

Answers

Answer:

2/3y

Step-by-step explanation:

If the class usually has y students and has 2/3 today, it can be represented by 2/3y.

Since multiplying a number or variable by 2/3 makes it 2/3 of the amount, 2/3y will represent the people in the class.

So, in terms of y, 2/3y represents the number of students in class today.

Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50. A 1-gallon jug of milk contains 128 ounces and costs $3. Let represent number of people in the club, represent the ounces of milk, represent the number of cookies and represent Jada's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.

Answers

Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50. A 1-gallon jug of milk contains 128 ounces and costs $3. Let represent number of people in the club, represent the ounces of milk, represent the number of cookies and represent Jada's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.

â m= 12(15)

n represents the number of people

in the club

b. 3m + 4.5c = 6

c. 4n =

m represents the ounces of milk

& 44.50) = C

c represents the number of

cookies

e b=2(3) + 3(4.50)

b represents Jada's budget in

dollars

The equations that could represent the quantities and constraints in this situation are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Step-by-step explanation:

Jada plans to serve milk and healthy cookies for a book club meeting

She is preparing 12 ounces of milk and 4 cookies per person

There are 15 people in the club

A package of cookies contains 24 cookies and costs $4.50

A 1-gallon jug of milk contains 128 ounces and costs $3

Let us represents number of people in the club by n

The the ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

She is preparing 4 cookies per person

4n = c

Since A package of cookies contains 24 cookies

She needs = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Hence, approximately, she has to buy 3 packages of cookies

She needs = 15 × 12 = 180 ounces of milk

A 1-gallon jug of milk contains 128 ounces

180 ÷ 128 = 1.406

She needs to buy 2 A 1-gallon jug of milk

Note that: from the question

The cost of each jug of milk is $3

The cost of each package of cookies is $4.50

b represents Jada's budget in dollars

b = 2(3) + 3(4.50)

The equations that could represent the quantities and constraints in this situation are:

Options a, c and e are correct

Anya walked 7/10 km to the bank and then walked 3/4 km to the flower shop. What is the total distance Anya walked? Show your work. Write your answer as a mixed number.

Answers

Answer:

1 and 9/20

Step-by-step explanation:

add your fractions together 7/10 + 3/4

make them have the same denom 14/20 + 15/20

so its 29/20

to get the mixed fraction, divide 29/20 to get 1.45. The 1 is your whole number. Subtract 20 from 29 to get 9, which is what is remaining, and will go over 20.

the answer is 1 and 9/20

work:

7/10km = 14/20km

3/4km = 15/20km

15/20+14/20=29/20km

29/20 as a mixed number is 1 and 9/20.

WILL MARK BRAINLEST!!!!! THANK YOU! PLEASE SHOW ALL WORK NEEDED!
THE EQUATION IS a^5 b^5 + 5a^3 b^6 - 14ab^7 / ab^5. NOTE: ITS a^5 b^5 + 5a^3 b^6 - 14ab^7 DIVIDED BY ab^5

SIMPLIFY

Answers

Answer:

[tex] a^4 + 5a^2 b - 14b^2[/tex]

Step-by-step explanation:

[tex](a^5 b^5 + 5a^3 b^6 - 14ab^7) \div ab^5 \\ \\ = \frac{(a^5 b^5 + 5a^3 b^6 - 14ab^7) }{ab^5}

\\ \\ = \frac{a {b}^{5} (a^4 + 5a^2 b - 14b^2) }{ab^5} \\ \\ = a^4 + 5a^2 b - 14b^2[/tex]

3 − 3k + 7k = 5b[tex]3 − 3k + 7k = 5b[/tex]

Answers

Answer:

k=-14

Step-by-step explanation:

Witch is equavalent to 2/3 all that are true

Answers

3/4 and 8/12

Step-by-step explanation:

2/3 by 4 you get 3/4 then 3/4 times 4 equals 8/12

Decide whether each of the following is greater than 1 or less than 1 and explain your answer.
1.) 1/2 ÷ 1/4 =
2.) 1 ÷ 3/4 =
3.) 2/3 ÷ 7/8 =
4.) 2 7/8 ÷ 2 3/5 =

Answers

Answer:

4.) 2 7/8 ÷ 2 3/5 =

1. Greater than 1

2. Greater than 1

3. Less than 1

4. Greater than 1

Step-by-step explanation:

I took the quiz

In a movie theater, there are children and adults in the ratio 4:7. If there are 21 adults, how many people total are there in the theater?

Answers

Answer:

33

Step-by-step explanation:

7x3=21

4x3=12

21+12=33

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx

Answers

h(x) = one-quarter is the correct answer!

By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

Definition of inverse function

The inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.

To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".

Inverse of f(x)=4x

Being f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:

f(y)=x=4y

Isolating the variable y, you get:

h(x)=x÷4= [tex]\frac{1}{4}[/tex]x

Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

Learn more about the inverse of a function:

https://brainly.com/question/13799722

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

Color of socks white black blue brown
Number of socks 5 8 4 6


The ratio of blue socks to nonblue socks is-

Answers

Answer:

4/19

Step-by-step explanation:

Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which of the following best explains the amount of cereal left in Rickey's bowl?

Answers

Answer:

5/8 cup left

Step-by-step explanation:

7/8 - 1/4

1/4=2/8

7/8-2/8

5/8

Solve for y
6 = 4x + 9y

Answers

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

Look at the picture for the answer (:

This system of equations is shown on the graph:
2y − 4x = 6
y = 2x + 3


Which statement about the system is true?

A. The system has no solution.
B. The system has a unique solution at (0,3).
C. The system has a unique solution at (1,5).
D. The system has infinitely many solutions.

Answers

Answer:

Option (D)

Step-by-step explanation:

System of equations has been given as,

2y - 4x = 6

y - 2x = 3 [Dividing both sides of the equation by 2]

y = 2x + 3 ------(1) [Slope-intercept for of the equation]

y = 2x + 3 ------(2)

Since, both the equations are same,

System of equations will have infinitely many solutions.

Therefore, Option (D) will be the correct option.

Answer:

d

Step-by-step explanation:

7. Given f(x) = 3x - 1, find f(2).
4

2

1

5

Answers

f(2) = 3(2) - 1
f(2) = 6-1 = 5
The answer would be 5

Answer:

5

Step-by-step explanation:

Your friend thinks that the equation k-3.5 = 21 is a true statement. Is your friend correct? Explain.​

Answers

Answer:

he is not correct because k could be equal to any whole number

there fore no matter what number you subtract 3.5 from it couldnt be a whole number (that includes 21)

What is m<1

A. 130°
B. 70°
C. 60°
D. 120°

Answers

Answer:

120 degrees

Step-by-step explanation:

To find m<1 we must first find the other angles.

First, find m<CDB. To do this use the complementary angle 130. So m<CDB=180-130, which means m<CDB=50.

Then find m<2, to do this remember that all triangles equal 180. So to find m<2 solve the equation m<2=180-(70+50), which equals 60 degrees.

Finally find m<1 the same way you found m<CDB, using the complementary angle 2. m<2=180-60, therefore m<1=120.

Answer:

120

Step-by-step explanation:

The store bought a table for $200, and sold it for $350. What percentage was the markup? %

Answers

Answer: 175% or 75% more in price

Step-by-step explanation:

There was a 75% of markup in the price.

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, The store bought a table for $200, and sold it for $350, we need to find the percentage of markup in the price,

percentage of markup in the price =

(final price - original price)/(original price)x100

final price = $350, original price = $200

Markup in price = $350-$200 = $150

percentage of markup in the price = 150/200x100 = 75%

Hence, There was a 75% of markup in the price.

For more references on percentage, click;

https://brainly.com/question/29306119

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Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?

Answers

Answer: 26-5

Step-by-step explanation:

literally you take 5 aways from 26

Determine the annual rate of change.

Answers

Answer:

13

Step-by-step explanation:

Subtract 150 - 72 = 78

Divide the answer by 6 : 78/6

(6 being the years in between)

You get 13!

need help on this too ​

Answers

Answer:

The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.

Step-by-step explanation:

The second term of a sequence is 13. The term-to-term rule is ' Multiply by 2 then subtract 3'. What is the first term of the sequence?


23
-23
-8
8

Answers

Answer:  multiply

Step-by-step explanation:

jus 45 multiply by 67

Erica’s bank account increased from $1,200.00 to $1,500.00. By what percent did the amount of money in her bank account increase?

Answers

I’m pretty sure 25% like the other person said

25% amount of money increased in her bank account.

Here,

Erica’s bank account increased from $1,200.00 to $1,500.00.

We have to find the percent of amount of money in her bank account increase.

What is Percent?

Percentage is a fraction or a ratio in which the value of whole is always 100.

Now,

Erica’s bank account increased from $1,200.00 to $1,500.00.

Increased money = $1,500 - $1,200 = $300

Percentage of increased money = [tex]\frac{300}{1200} * 100 = 25[/tex]

Hence, 25% amount of money increased in her bank account.

Learn more about the percent visit:

https://brainly.com/question/24304697

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ax + bx = 0
Solve equation for x

Answers

X=0 is the value....

Answer:

you cant have two variables

Step-by-step explanation:

I suck at math please do this for me I’ll give you anything

Answers

Answer:

Step-by-step explanation:

20:

There are 56 workers during each shift. The workers are split into teams of 14 each. How many work during a shift?​

Answers

Answer:

4 teams

Step-by-step explanation:

To evenly distribute 14 into 56, you divide. 56/14 is 4.

Therefore the correct answer is 4 teams.

Hope I helped!!!

is the following true or false? d3/dx3(xsin(x))=-xcos(x)-3sin(x)

Answers

Answer:

Step-by-step explanation:

That is a true statement.

The first derivative is

[tex]f'(x)=xcos(x)+sin(x)[/tex]

The second derivative is

[tex]f"(x)=-xsin(x)+2cos(x)[/tex]

The third derivative is

[tex]f'''(x)=-xcos(x)-3sin(x)[/tex]

If you don't know how to find a derivative at this point, you'll be in a lot of trouble when it comes to integration. I recommend learning these.

express 4,102/7 in decimal form

Answers

Answer:

586

Step-by-step explanation:

It would not be in decimal form because the number don't have a decimal so it would be a whole number

Answer: The answer is 586, so there is no decimal form

The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled

Answers

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.

−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: -7x/7= 23/7
Step 4: x = 23/7

Step 1: He should have added 25 to each side.
Step 1: He should have divided both sides by −7.
Step 3: He should have divided both sides by −7.
Step 3: He should have multiplied both sides by −7.

Answers

Answer:

step 3: he should have divided both sides by -7

Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200

Answers

Answer:

C

Step-by-step explanation:

500+450=950

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