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]\frac{8\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )

x = [tex]\frac{8\sqrt{3} }{3}[/tex]


Related Questions

Please help me out
No links!
Thank you

Answers

Answer:

4 batches of fudge brownies

1 batch of peanut butter brownies

Step-by-step explanation:

5 × 4 = 20

6 × 1 = 6

20 + 6 = 26

:)

Using the digits 0 through 9 at most one time fill in the boxes to make the sum of the interior angles of a triangle

Answers

Answer:

fucififif8tdufifydjvkzhckgkf

You pick a card at random.
1,2,3,4,5,6,7

What is P(not 6)?
Write your answer as a fraction or whole number.

Answers

Answer:

6/7

Step-by-step explanation:

....................

Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go
charges a $2 monthly fee plus $4 per game. Which function rule would represent Games-R-Us and Games2Go
where f(x) represents the total amount and x represents the amount per game?

Games-R-Us:f(x) = 2x + 10
Games2Go:x) = 4x + 2

Games-R-Us: f(x) = 2x + 10
Games2Go: v) = 22 + 4

Games-R-Us:/(x) = 10x + 2
Games2Go: ) = 2x + 4

Games-R-Us:) = 10x + 2
Games2Go: f(x) = 4x + 2

Answers

Answer:

Games-R-Us:f(x) = 2x + 10

Games2Go:x) = 4x + 2

Step-by-step explanation:

Supongamos que un restaurante ofrece 5 entradas, 4 platos principales y 3 postres. ¿De
cuántas formas un cliente puede ordenar una comida?

Answers

Answer:

El cliente puede ordenar una comida en 60 formas distintas.

Step-by-step explanation:

El cliente escoge una entrada de las cinco opciones disponibles, luego un plato principal de cuatro opciones disponibles y un postre de tres opciones disponibles. Es costumbre consumir primero una entrada, después un plato principal y finalmente, un postre.

Estadísticamente hablando, se debe considerar un producto de tres combinaciones, puesto que el orden no importa a la hora de pedir, como sigue:

[tex]n = _{5}C_{1}\times _{4}C_{1}\times _{3}C_{1}[/tex] (1)

Donde:

[tex]n[/tex] - Total de combinaciones al ordenar una comida (entrada, plato principal, postre)

[tex]_{5}C_{1}[/tex] - Combinaciones posibles para pedir una entrada.

[tex]_{4}C_{1}[/tex] - Combinaciones posibles para pedir un plato principal.

[tex]_{3}C_{1}[/tex] - Combinaciones posibles para pedir un postre.

Ahora, desarrollamos la operación:

[tex]n = \frac{5!}{(5-1)!}\times \frac{4!}{(4-1)!} \times \frac{3!}{(3-1)!}[/tex]

[tex]n = 5\times 4\times 3[/tex]

[tex]n = 60[/tex]

El cliente puede ordenar una comida en 60 formas distintas.

What is the total surface area

Answers

the answer is 216.81 I looked it up on a calculator

Please help me asap !!!

1. Add the current income from each pay category. What is the total income for this pay period?
2. Add the taxes, benefits (premiums), and other deductions. What are the total deductions for this pay
period?
3. Subtract the total deductions from the total income for this pay period. What is the total net pay for this
pay period?
4. Calculate Jaxson's NMI: Multiply the total net pay for this period by the 26 paychecks Jaxson will receive
per year. Then divide that amount by the 12 months in a calendar year. What is Jaxson's NMI?

Answers

Total of all Gross Wages minus all pre- tax deductions. Total of all Pre-Tax and. Post-Tax deductions. For this pay period.

need help plz will give brainy not sure if i got it right

Answers

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

What is the area of the figure at the right?
A 80 in.2
C 96 in 2
B 88 in.2
D 120 in.2

Answers

Answer: 88 in2

Step-by-step explanation:

16 * 4 = 64

8 * 3 = 24 / 2 = 12

12 + 12 + 64 = 88

The area of the figure is 88 square inch.

Thus, option (B) is correct.

To find the Area of given, divide the figure into 3 parts.

The formula used here are:

Area of rectangle = length x widthArea of Triangle = 1/2 x  base x height

1. Area of Rectangle whose length = 16 inch and width is 4 inch

= 16 x 4

= 64 square inch

2. Area of Triangle whose base = 8 inch and height= 3 inch

= 1/2 x 8 x 3

= 4 x 3

= 12 square inch

3. Area of Triangle whose base = 8 inch and height= 3 inch

= 1/2 x 8 x 3

= 4 x 3

= 12 square inch

Now, the total Area of figure

= Area of Rectangle + Area of Triangle + Area of Triangle

= 64 + 12 + 12

= 64 + 24

= 88 square inch.

Thus, option (B) is correct.

Learn more about Area here:

https://brainly.com/question/30307509

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An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.

Answers

I think the answer is E

can anybody answer this? asap
Question:
A ribbon with a length of p cm is cut into three parts. The length of the first part and the second part are x cm and 2x cm respectively.

(a) Write an expression for the length of the third part.

(b) If x = 10 and the length of the second part is four times the length of the third part, calculate the value of p.​

Answers

Answer:

(a) y = (p - 3x) cm

(b) p = 35 cm

Step-by-step explanation:

Total length of the ribbon = p cm

The length of the first part = x cm

The length of the second part = 2x cm

Let the length of the third part be represented by y.

(a) Thus,

x + 2x + y = p

3x + y = p

y = p - 3x

An expression for the length of the third part is (p - 3x) cm

(b) If x = 10 cm, then;

length of first part = 10 cm

length of the second part = 2x

                                           = 2(10)

                                           = 20 cm

But,

length of the second part = 4y

i.e 20 = 4y

y = 5 cm

The value of p = 10 + 20 + 5

                        = 35 cm

p = 35 cm

         

(2.4x10^3)+(5.7x10^2)

what is the value

Answers

Answer: 2970

Step-by-step explanation:

First, you do the first exponent in the first part which is 10^3 and the answer for that is 1000. Then you do 2.4x1000 which is 2400. Afterwards you do the second part's exponent which is 10^2 and you get 100 for that. Next, you do 5.7x100 which is 570. Finally you add 2400+570 and get 2970.

Answer:

Step-by-step explanation:

(2.4 x 10³) + (5.7 x 10²)

(2.4 x 1000) + (5.7 x 100)

2400 + 570

2970

What is Jackie's monthly salary if her annual gross pay is $65,400

Answers

Answer:

The answer is $5450 per month

PYTHAGOREAN THEOREM BASED QUESTION: If you show steps I will give Brainliest

An artist joined three square regions at their
vertices to create the figure shown in the diagram.

The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?

A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.

B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.

C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.

D. None of these

Answers

Answer:

C. The number of tiles needed to cover Region Z  is the same as the number of tiles needed to cover both Region X and Region Y.

Step-by-step explanation:

Please help me with my work

Answers

Answer:

area of the pyramid

(15×15)+(2×15×20)

225.+600

825 ft²

HELPPP PLZ WHATS THE ANSWER PLZ DONT SEND A FILE PLZ. what is this question going across is going across the y or it going across the x ??? ONLY ANSWER IF YOU REALLY KNOW THE ANSWER. I need the answer for question 1 and 2 !!

Answers

1.) Reflect over x= 2
2.) Reflect over y= -4

PLEASE I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!

Answers

0.75(x-18)=84.5
And
0.75x-13.5=84.5

Answer:

0.75(x-18)=84.5

And

0.75x-13.5=84.5

On both of them, x = 130.6 and on the other answer choices it’s different answers those 2 equal the same only

Step-by-step explanation:

hope this helps

One school purchased 10 gallons of blue paint to decorate several of its classrooms. If
each classroom needs of a gallon of paint, then how many classrooms will get
painted?

Answers

Answer:

10 classrooms

Step-by-step explanation:

Divide it.

If each class needs 1 gallon, 10/1=10

please help me
( will give brainliest )

any links or websites commented will be reported !

Answers

Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6.  Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6:  We get 1 3/6, or 1 1/2

the solution set of 2(x+4)-3=-13​

Answers

Answer:

x=-9

Step-by-step explanation:

[tex]2\left(x+4\right)-3=-13[/tex]

given

[tex]2\left(x+4\right)-3+3=-13+3[/tex]

addition property

[tex]2\left(x+4\right)=-10[/tex]

substitution property

[tex]\frac{2\left(x+4\right)}{2}=\frac{-10}{2}[/tex]

division property

[tex]x+4=-5[/tex]

substitution property

[tex]x+4-4=-5-4[/tex]

subtraction property

[tex]x=-9[/tex]

substitution property

Step-by-step explanation:

hope it is helpful to you

I need help so bad and really fast

Answers

Answer:

a) False

b) True

c) False

d) True

e) True

Step-by-step explanation:

There is 12 feet from the center of the room to the wall. How big is the floor? (JUST write the number: no units) *

Answers

Answer:

im gonna say 24

Step-by-step explanation:

Answer:

if the room is a square it would be 576

             if it is 12 feet from the center of the room to the edge than if you make another line from the center to the opposite direction of the first line and push your new line to the edge of the room you would get 24 feet from one corner to another and if the room is a square then all sides will be the same length so all sides will be 24 feet. and the equation would be 24 times 24 and the answer to that equation would be 576

How many ways can 6 students stand in a line if there are 10 children to choose from?

Answers

Answer:

Around 720.

Step-by-step explanation:

PLEASEEE HELP WITH THE IMAGE!!! WILL GIVE BRAINLIESTSSSS!!!!!!

Answers

Answer:

624ft

Step-by-step explanation:

yeah you're welcome

484ft ^2

10x12x0.5=60

14x13=182

182+60=242 ft^2

242ft^2x2=484 because there are 2 of each of the visible sides

edit i messed up and changed my answer  

Select the correct answer.
The parent cosine function is shifted 5 units left, then vertically stretched by a factor of 4 and shifted up 2 units. Which statement is true about the graph of the transformed function?
A. midline is y=8
B. midline is y=5
C. midline is y=4
D. midline is y=2

Answers

Answer: d y=2

Step-by-step explanation:

Using shifting concepts, it is found that the midline is y = 2, given by option D.

--------------------------------

For the parent function [tex]y = \cos{x}[/tex], the midline is at [tex]y = 0[/tex].If the function is shifted up or down, the midline will also be shifted up or down.In this question, the parent function is shifted up 2 units, thus, the midline is also shifted up 2 units, and will be given by y = 0 + 2 = 2.The correct option is D.

A similar problem is given at https://brainly.com/question/24465194

Please help... need help ASAP

Answers

Answer:

c

did the test got it right.

Step-by-step explanation:

Show that the interior angle of a regular octagon is 135°

Answers

Answer:

Each corner of an octagon is 135

Use a protractor to help

NOTE: The sum of the interior angles of a regular octagon = (2n-4)*right angles or (n-2)*straight angles or (8–2)*180 =6*180 = 1080. So each interior angle of the regular octagon = 1080/8 = 135 deg.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Item 8
Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.

How long did the cake bake?

Answers

Answer:

53 minutes

Step-by-step explanation:

3:08-4:08 is exactly 1 hour

4:01-4:08 is 7 minutes difference

1 hour minus 7 minutes is 53 minutes

hope this helped! have a great day :)

The solution is : Ethan for 53 minutes baked the cake .

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.

now, we have to find the time for the cake baked.

now, we get,

3:08-4:08 is exactly 1 hour

then, we have,

4:01-4:08 is 7 minutes difference

so, we get,

from 3.08pm to 4.01pm, the difference is:

1 hour minus 7 minutes is 53 minutes

Hence, The solution is : Ethan for 53 minutes baked the cake .

To learn more on subtraction click:

brainly.com/question/2346316

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Ms. Keller is grading semester projects. In the past two hours, she has graded five projects. At this rate, she will grade (?) Projects in seven hours at a rate of (?) Projects per hour.

Answers

Answer:

17.5 PROYECT AND SEVEN HOURS RATE OF

2.5 PROYECT PER HOUR

Answer:

17.5 projects in seven hours at a rate of 2.5 projects per hour.

Step-by-step explanation:

First, find the unit rate of projects per hour.

Next, find the number of projects Ms. Keller would grade in seven hours by multiplying the unit rate by seven hours.

Therefore, at this rate, Ms. Keller will grade 17.5 projects in seven hours at a rate of 2.5 projects per hour.

Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?

Answers

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour

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