Find the value of x and the value of y. 60 30 6

Find The Value Of X And The Value Of Y. 60 30 6

Answers

Answer 1

Answer:

The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]

Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]

[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]

[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]

[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]

[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]

[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]

Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]

[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]

[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]

And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

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Find The Value Of X And The Value Of Y. 60 30 6

Related Questions

A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.

Answers

Hi there!

[tex]\large\boxed{h = 8in}[/tex]

Area of a triangle:

A = 1/2(bh)

Plug in given values:

60 = 1/2(15h)

Solve for h. Multiply both sides by 2:

120 = 15h

Divide both sides by 15:

120/15 = h

h = 8 in

Answer:

8 inches

Step-by-step explanation:

1. Basics

Area of a triangle: [tex]\frac{1}{2}BH[/tex]

2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking

[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT

8 inches

Hope this helped! Please mark brainliest :)

What is the answer to this question

Answers

Answer:

65

Step-by-step explanation:

the angle on top is the same  because the lengths of the lines that meet to "H" are the same.

there are d boys in the class this is two more than four times the number of girls (x) how many girls are there in the class?

Answers

Answer:

X=(d - 2)/4 is the answer of your question

someone help me please with this algebra problem

Answers

Answer:

4

Step-by-step explanation:

3r = 10 + 5s

r = 10

3(10) = 10 + 5s

30 = 10 + 5r

20 = 5r

r = 4

Find the nature of roots for equation 2x square -root5x -2 =0
Pls help me fast

Answers

Answer:

roots are real and distinct

Step-by-step explanation:

To determine the nature of the roots use the discriminant , b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then roots are not real

Given

2x² - [tex]\sqrt{5}[/tex] x - 2 = 0

with a = 2, b = - [tex]\sqrt{5}[/tex] , c = - 2 , then

b² - 4ac

= (- [tex]\sqrt{5}[/tex] )² - ( 4 × 2 × - 2)

= 5 - (- 16)

= 5 + 16

= 21

Since b² - 4ac > 0 then the equation has 2 real and distinct roots

The ages of Raju and Ravi are in the ratio 3:4 Four years from now the ratio of their ages will be 4:5 Find their present ages​

Answers

Answer: Their present age is 12 and 16.

Step-by-step explanation:

Let the required age be 3x and 4x

so

(3x+4)/(4x+4) = 4/5

5(3x+4) = 4(4x+4)

or, 15x + 20 = 16x + 16

or, 15x - 16x = 16-20

or, -x = -4

so, x = 4

now,

3x = 3*4 = 12

4x = 4*4 = 16

In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019. ​

Answers

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]

The percentage increase in the population = 10.2%

Arlene is a clothing store manager and she set the price for a pair of jeans at $40 and is selling 120 pairs each week. She estimates that if she changes the price by x dollars, where x can be positive or negative. she will sell 120 - 3x pairs of jeans a week, for a total of (40 + x)(120 - 5x) dollars in sales. According to her estimate, what will result in the greatest value of sales?

A) Decreasing the price by $2.50
B) Decreasing the price by 51.50
C) Leaving the price unchanged.
D) Increasing the price by $2.00.​

Answers

Answer:

B

Step-by-step explanation:

This is literlly the same question I had 2 minutes ago

AD = 6, DC = 8, find DB

Answers

Answer:

10

Step-by-step explanation:

use a^2+b^2=c^2

6^2+8^2=c^2

100=c^2

sqrt it and you get 10 for AC and AC=DB

Answer:

according to Pythagoras theorem, c²=a²+b²

|AC|²=|AD|²+|DC|²

|AC|²=6²+8²

|AC|²=36+64

|AC|²=100

√|AC|²=√100

|AC|=10

What is the first step in solving the following systrm of equations?
3x + y = 23 and 8x + 2y = 23
A. Substitute the value of y from one equation into the other equation
B. Solve the first equation for y
C. Subtract the second equation from the first equation
D. Substitute the value of x from one equation into the other equation ​

Answers

Hello!

{3x + y = 23 _ {y = 23 - 3x

{8x + 2y = 23 {8x + 2(23 - 3x)

The answer is A.

Good luck! :)


Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.

Answers

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

A line passed through the points (-3,-4) and (6,2). What is the x-intercept of this line?

Answers

Answer: 3

Step-by-step explanation:

Points (-3,-4) and (6,2) give you slope of (-4-2)/(-3-6)=-6/-9=2/3

Y=2/3x+k. Substitute first point, you get -4=2/3(-3)+k. -4=-2+k, so k=-2. When y=0, x value is the x intercept. 0=2/3x-2, 2/3x=2, so x=3.

Someone tell me where everyone is going right please !!

Answers

For the 1st picture,

[tex]2(3x - 1) \geqslant 4x - 6[/tex]

[tex]6x - 2 \geqslant 4x - 6[/tex]

[tex] - 2 \geqslant - 2x - 6[/tex]

[tex]4 \geqslant - 2x[/tex]

[tex]x \geqslant - 2[/tex]

This means x has to be greater than -2 so -1 is the answer.

For the 2nd picture the answer is -10.

For the 3rd picture, the answer is the first three options.

For the 4th picture, the answer is the 3rd option.

again again again again again again again hello or merhaba dude

merhaba = hello

answers are at the photos

GOOD LUCK:D

greetings from Turkey (≧▽≦)

Consider the system of equations. y = −2x + 4 y = − 1 3 x − 1 The solution is (3, –2). Verify the solution. Which true statement appears in your check?

Answers

[tex]\displaystyle\bf \left \{ {{y=-2x+4} \atop {y=-\frac{1}{3} x-1}} \right. => \\\\\\-2x+4 =-\frac{1}{3}x -1\\\\-\frac{5}{3} x=-5\\\\\boxed{x=3\quad ; \quad y=-2}[/tex]

Answer:

-2 = -2

Step-by-step explanation:

You need to substitute the values of y and x.

(X,Y) =

(3, -2)

y= - 2x + 4

-2= -2(3) +4

-2= - 6 + 4

-2=-2

y= - 1/3x - 1

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

-2 = -1 -1

-2 = -2

The answer is  -2 = -2, so this means that both equations are true

Hope it helps UwU :>

can someone do this step by step pls:)

Answers

Answer:

23

4* 4  = 16

cir = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](1.2) = 2.4[tex]\pi[/tex]

16 + 2.4[tex]\pi[/tex] = 23.53

Step-by-step explanation:

Evaluate the price wise function ag the indicated value from the domain:

A. f(-3)=-1/2
B. f(-3)=-1/3
C.f(-3)=4
D.f(-3)=9

Answers

The answer is B. f(-3)=-1/3

Rick has $8x and Helen has twice that amount. They save $3 each per week. What amount will be the sum of their money 4 weeks from now​

Answers

Answer:

Savings total for both = 24x + 24

Step-by-step explanation:

Rick has 8x to start with

Let w = the number of weeks he will save.

Savings = 8x + 3*w  

Let w = 4

Savings = 8x + 3*4

Savings = 8x + 12

Helen

Let w = the number of weeks she will save.

Savings = 16x + 3*w

Let w = 4

Savings = 16x + 12

Now we come to the question. It seems to want the total combining both of them.

Rick + Helen = 8x + 12 + 16x + 12 = 24x + 24

The only other possible answer is

Rick = 8x + 12

Helen = 16x + 12

Find the value of cos C rounded to the nearest hundredth, if necessary

Answers

[tex]\bold{\frac{5}{13} or 0.38}[/tex]

Answer:

Solution given:

here

by using Pythagoras law

hypotenuse =

[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]

Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]

x = 4y + 3, 2x + y = -3
System of Equations

Answers

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

I NEED HELP ASAP HEELP

Answers

Answer:

S > 2kg

Step-by-step explanation:

Sean is a bookworm. On average, he reads pages in minutes.

Answers

Answer:

wow thats very interesting

Step-by-step explanation:

whats ur question

the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer

Answers

Answer:

I believe the question is incorrect

Step-by-step explanation:   7  1  17  02

take the english statement and convert it to math

sum of the squares of two positive integers is 183      x² + y² = 183

one integer is 3 less than the other     x = y - 3      x is three less than y  

find the larger integer   use the two equations to solve for y the larger number

x² + y² = 183 and x = y - 3

(y - 3)² + y² = 183

y² - 6y + 9 + y² = 183

2y² - 6y = 182 - 9

2y² - 6y = 173  

2y² - 6y - 173  = 0  

this equation does not result in an integer

2y² - 6y - 173 = 0

What is the next term in the pattern 1, -1, 2, -2,3

Answers

Answer: -3

Step-by-step explanation:

On a horizontal number line, positive numbers are_____
On a vertical number line, negative numbers are_______
The number is_______

Answers

Answer:

the horizontal are called x-axis, while the vertical are called y-axis

Express y in terms of x in the equation ax + by = c where b is not equal to zero.

HELLLP

Answers

Answer:

y=(-ax+c)/b

Step-by-step explanation:

ax+by=c

by=c-ax

by=-ax+c

y=(-ax+c)/b

A car and a bus were travelling towards each other at uniform speeds. They were 250 km apart at noon and passed each other at 2 p.m. If the speed of the car was 75 km/h, find the speed of the bus.

Answers

Answer:

50 km/hr

Step-by-step explanation:

speed = x + 75

distance = 250km

time = 2

250 = (x + 75) * 2

125 = x + 75

x = 50

Please help me with this question.

Answers

Answer:

Step-by-step explanation:

-1 ≤ x < 3    Solution set = {-1, 0 ,1 , 2}

-2 < x < 2   Solution set  = {-1 , 0 , 1}

Integer values that satisfies both inequalities are -1 , 0 , 1

        I \\\\\\\\\   I                                                                                                          

      [-1]          -3                                                                                                                  I   \\\\\\\\\\\   I                                                                                                            -2              2                                                                                                            [tex]\displaystyle\bf x\in[-1;2)\\-1;0;\underline1\\\\Answer: 1[/tex]                                                                                                                                                                                                                                    

Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

no pueden hablar otra idioma

Given statements:
If a shape is a rhombus, then the diagonals are perpendicular.
A square is a rhombus.
What is a logical conclusion from the given statements?
OA. The sides of a square are perpendicular.
OB. The diagonals of a square are perpendicular.
OC. A rhombus is a square.
OD. The diagonals of a square are not perpendicular.

Answers

Answer:

B

Step-by-step explanation:

Help me with these 3 and explain too thank you :))

Answers

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

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