What are the values of x and y?

Question 18 options:


A)


x = 8; y = 4


B)


x = 8[tex]\sqrt{3}[/tex] ; y = 4[tex]\sqrt{3}[/tex]


C)


x = 6[tex]\sqrt{x3}[/tex] ; y = 3[tex]\sqrt{3}[/tex]


D)


x = 4[tex]\sqrt{3}[/tex] ; y = 8[tex]\sqrt{3}[/tex]

What Are The Values Of X And Y?Question 18 Options:A) X = 8; Y = 4B) X = 8[tex]\sqrt{3}[/tex] ; Y = 4[tex]\sqrt{3}[/tex]C)

Answers

Answer 1

Answer:

B)   x = 8[tex]\sqrt{3}[/tex] ;  y = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : [tex]\sqrt{3}[/tex] : 2

we can find 'x' by creating this proportion:

12/[tex]\sqrt{3}[/tex] = x/2

cross-multiply to get:

[tex]\sqrt{3}[/tex]x = 24

x = 24/[tex]\sqrt{3}[/tex]

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by [tex]\sqrt{3}[/tex] to get:

(24[tex]\sqrt{3}[/tex])÷3, which is 8[tex]\sqrt{3}[/tex]

we know that side 'y' is half that of side 'x'

therefore y = 4[tex]\sqrt{3}[/tex]


Related Questions

What percent of 600 is 3 3/4?
Enter your percent as a fraction in simplest form by filling in the boxes

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Answer:

Step-by-step explanation:

0.625%

Answer:

5/8

Step-by-step explanation:

Which expression is equivalent to

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B is the correct answer.....

solve this system of equations by graphing y=5/3x+3 y=1/3x-3

Answers

The solution to the system of equation is x = 9 /2 and y = - 3 / 2

Simultaneous equation

y = 5 / 3 x + 3

y = 1 / 3 x - 3

Therefore, let subtract equation(i) from equation (ii) to eliminate y

5 / 3 x - 1 / 3 x = 3 + 3

5x - x / 3 = 6

4x / 3 = 6

cross multiply

18 = 4x

x = 18 / 4

x = 9 / 2

Therefore,

y = 1 / 3(9 / 2) - 3

y = 9 / 6 - 3

y = 9 - 18 / 6

y = - 9 / 6

y = - 3 / 2

learn more on system of equation here: https://brainly.com/question/3060334?referrer=searchResults

1/7 of all students achieved great success in the written exercise in mathematics. 3/7 very good success. 2/7 good success, while 4 students achieved sufficient success. How many students did the writing exercise?(fractions)​

Answers

Answer:

x = 28

Step-by-step explanation:

Let the total number of students = x

x/7 + 3x/7 + 2x/7 + 4 = x If that is all there is.  If it isn't the problem can't be done. Combine like terms.

x(1 + 3 + 2)/7 + 4 = x

x (6/7) + 4 = x                       Subtract 6x/7 from both sides

4 = x - 6x/7

4 = 7x/7 - 6x/7                     Combine

4 = 1/7x                                Multiply both sides by 7

4*7 = 7x / 7

x = 28

Question 1
Fill in the blank question.
The sum of two numbers is 20.5. Their difference is 6.5. Find the two numbers.



Part A



Write a system of equations that represents the situation.



x+y=_____



x−y=_____



Part B



Solve the system of equations. Express the coordinates as decimals if necessary.



( _____, _____)



Part C



Interpret the solution.



The greater number is
____________________
and the lesser number is
____________________

Answers

Answer:

x = 13.5

y = 7

(13.5,7)

what the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

Step-by-step explanation:

x + y = 20.5

x - y = 6.5

if we add the two equations we get:

2x = 27

x = 13.5

y = 20.5 - 13.5

y = 7

solution as an ordered pair:

(13.5,7)

What the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

Please answer and show the work! Will reward 100 points

Answers

Answer:

- 1/6

Step-by-step explanation:

[(-1)⁷ - 2(3² - 2*4)] / [3(∛-216 + 2³)] = [1 - 2(9 - 8)] / [3(-6 + 8)] = (1 - 2*1) / (3*2) = - 1/6

[tex]\\ \tt\longmapsto \dfrac{(-1)^7-2(3^2-2(4))}{3(\sqrt[3]{-216}+2^3)}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-1-2(1)}{3(6i+8)}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-1-2}{18i+24}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-3}{18i+24}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-1}{6i+8}[/tex]

Mario has 3 books of short stories. Each book has
5 stories. He has 13 other short stories. How many
short stories does Mario have?

Answers

in total mario has 16 short stories

The total number of stories that Mario has will be 28.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Mario has 3 books of short stories. Each book has 5 stories. He has 13 other short stories.

The total number of stories is calculated as,

Total = 5 x 3 + 13

Total = 15 + 13

Total = 28

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

PLEASE HELP. I HAVE FIVE MINUTES TO ANSWER

If the length of a rectangle is 4x² - x +2, and the width of the rectangle
is 5x - 3, what is the perimeter of the rectangle expressed as a
polynomial?

8x^2-12x+10
8x^2+8x-2
8x^2-12x+10
8x^2-8x+2

Answers

Answer:

8x² + 8x - 2

Step-by-step explanation:

We know that:

Perimeter of a rectangle = Sum of all its sidesLength of rectangle = 4x² - x + 2Width of rectangle = 5x - 3

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

Solution:

Perimeter of a rectangle = Sum of all its sides=> 2[{4x² - x + 2} + {5x - 3}] = Perimeter=> 2[4x² - x + 2 + 5x - 3] = Perimeter=> 2[4x² + {-x + 5x} + {2 - 3}]=> 2[4x² + 4x - 1]=> 8x² + 8x - 2

Hence, the perimeter of the rectangle is 8x² + 8x - 2.

(6 + 3) divided (4 - 5)

Answers

Answer:

-9

Step-by-step explanation:

9/-1 = -9

-9 explanation (6+3)= 9 (4-5) = -1. 9 divided by -1 is equal to -9

Find angle, a.  Show the working mentioning the angle properties in each step.​

Answers

Answer:

a°=45°

Step-by-step explanation:

SOLUTION,

→a°=45°[ Being alternate angles]

→Hence,a°=45°

Collins was 7 years 3 months old when he joined school. Today he is 13 years and 2 months. For how long has he been in school?

Answers

Answer:

He is about 6 years old (5 years 11 months)

Step-by-step explanation:

13 - 7 and 3 - 2

In the equation 8x + 3 = 20, what is the coefficient?
8
8x
3
20
Which equation will have no solution for x? *

Answers

Answer:

go take a brain break

Step-by-step explanation:

if you take a good 3 min break with a drink that will help

I need help can I have how to do it and some work so I can do it.

Answers

Answer:

cant see it post another

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Here,\\\\y=-4\\\\Now,\\\\-2x+6y=-10\\\\-2x+6*(-4)=-10\\\\-2x-24=-10\\\\-2x=-10+24\\\\x=14/-2\\\\x=-7[/tex]

Question 4 of 5
Select the real world situation that can be represented by 2m+ 3.
A Grace bikes 2 more than 3 times the miles Jamie bikes
B. An online company charges a 83 shipping fee and 82 per item for
a purchase
G. A musle download website has a membership fee of 32 and
charges 83 for each download
D. Bentley awima 3 less than 2 times the laps Dan swima.
SUN
Plz answer rn!!!

Answers

Answer:

B

Step-by-step explanation:

$2 per item gives you 2m, and the 3 comes from the shipping fee.

plzz help me.I really need help with this





Answers

the answer is b and the c is te answer it

Studies showed that a driver with a blood alcohol level of 0.15% has_____ times greater chance of causing an accident.

Answers

Answer:

25

Step-by-step explanation:

In her catering business, Elena usually estimates that 5 pounds of meat will feed about 26 people. How many pounds of meat should she prepare if she is expecting 156 people?

Answers

30 pounds of beef, because 156/26= 6 and 5x6=30

Answer:

30

Step-by-step explanation:

26 = 5

156 = x

cross multiply  

26x=156*5

26x= 780

divide both sides by 26

x= 780/26

x = 30

Which is the better buy, 3 pounds of apples for $3.99 or 5 pounds of apples for $7.89?

Answers

Answer:

The 3 pounds of apples for $3.99.

Step-by-step explanation:

hopes this helps.

Leah can skate around the park in 8 minutes. How many laps can she skate in 72 minutes?

Answers

Answer:

9 times 8x9=72

Step-by-step explanation:

hope this helps

if you have anymore questions ask me

Answer:  9 laps

Step-by-step explanation:

1. Divide: 72/8 = ?

2. Solve: 72/8=9

helppppppppppppppppppppppppppppppppp

Answers

I believe the answer would be
-1 1/3

I WILL GIVE BRAINLIEST AND 100 PTS
SO PLS ANSWER

Answers

Answer:

ΔLNM is proved as isosceles triangle. Below for explanation.

Step-by-step explanation:

We know that:

AMBX = SquareSquares have equal sides

Since AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.

Side of square + Extra length = Side of triangle

This can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.

Hoped this helped!

Answer:

ΔLNM is proved as isosceles triangle

Step-by-step explanation:

or basically what guy said on top /\

4647 divided by 18 is what? Also please show mee how you worked it out.

Answers

Answer:

258 R 3

Step-by-step explanation:

used a calculator

hat is the image point of (-2,5)(−2,5) after a translation left 5 units and up 3 units?

Answers

Answer:

(-7,8)

Step-by-step explanation:

5 units left on a coordinate plane is negative with just means you are adding two negative numbers. (x-axis) and up 3 units (adding because you are going up) which would be the y-axis

I need help 4k - 13 = 6k + 5

Answers

Answer:

k = -9

Step-by-step explanation:

4k - 13 = 6k + 5

4k - 6k = 5 + 13

-2k = 18

k = 18 / -2

k = -9

Which type of tide occurred on June 8?
A spring tide
B neap tide
C) full tide
D) half tide
PLEASE HELP

Answers

Answer:

A) spring tide

Step-by-step explanation:

Factor the gcf. Plz hurry

Answers

Answer:

option B is correct answer

Step-by-step explanation:

PLEASE SOLVE AND CHECK

Answers

Answer:

x^2=-10

Step-by-step explanation:

x squared equals to negative 10

A school club sold 300 shirts. 31% were sold to fifth graders, 52% were sold to sixth graders, and the rest were sold to teachers.a) How many shirts were sold to fifth graders?

Answers

You would do 300• 31/100 to get 90. I’m pretty sure that’s right

What is the quotient of the following in simplest form? 5/9 divided by 2/3

Answers

Answer:

5/6

Step-by-step explanation:

You write the question as such: 5/9 divided by 2/3.

After that, you keep the first fraction, flip the sign and the fraction.

You will get: 5/9 multiplied by 3/2.

When you get this, you then cross multiply and simplify as such.

5/3 multiplied by 1/2.

5/6 would be your solution.

Which expression is equivalent to 6 (3x + 4)?
9x + 10
9.C +4
18.2 + 4
18.2 + 24

Answers

I think it’s 18.2+24
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