Find the value of x. Write your answer in simplest form.

Find The Value Of X. Write Your Answer In Simplest Form.

Answers

Answer 1

Answer:

It would be 4.

Step-by-step explanation:

Alright, this is a 30-60-90 special triangle. With special triangles, there is a formula that you can use to find unknown side lengths of a triangle if you know the angles of it.

With a 30-60-90 triangle, the sides opposite of these angles are:

30 degrees : x

60 degrees: x√3

90 degrees: 2x

With this, we can see that opposite of the 60 degrees is the length 2√3. From this, it can be found that the opposite of the 30 degrees would be 2, given the formula of the special triangle. Lastly, the unknown value would be 4, since it is two times this amount.

Answer 2

Answer:

x = 4

Step-by-step explanation:

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

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

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

[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 4


Related Questions

Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?

Answers

Average speed= total distance travel/ total elapsed time. Then, 800/ 240 = 3.33

Review the graph function. Which statement describes whether the extreme value theorem applies?​

Answers

Answer:

D :)

Step-by-step explanation:

The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.


A graph has shown in the image, It is to determine whether the extreme value theorem applies.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.

Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ2


Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3

Answers

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

Bab in need of help ☹️

Answers

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.​

Answers

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you

Find the value of x. (I'll mark brainlest!!!)

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

you can use law of sines

Plug in the values (lol sorry i dont have time)

x / sin(angle)  =  y / sin(angle)

Where x and y are separate sides.

Hope this Helps! :3

For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.

Answers

Answer:

im about to get visous on gta so its 70%

Step-by-step explanation:

Is 2.164213562 Rational or Irrational

Answers

The number you said is rational but im not that sure

Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200

Answers

Answer:

680 sales

Step-by-step explanation:

20% of 680 is 136.

So her 64 for a week plus the 136 from sales is 200.

Hope this helps

Brainliest would be appreciated

please help i will give brainliest

Answers

Answer:

Part 1: 2.4 + x

Part 2: 4(2.4 + x) = 14.8

Step-by-step explanation:

2.4 + x is the total distance covered every day.

We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.

Extra: Here's how to work out x!

4(2.4 + x) = 14.8

9.6 + 4x = 14.8

4x = 5.2

x = 1.3

Hope that helps!

Which equations represent exponential growth?

Which equations represent exponential decay?



Drag the choices into the boxes to complete the table.

Exponential Growth Exponential Decay

Answers

Answer:

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Step-by-step explanation:

The key to differentiate between decay and growth is the term inside the bracket

For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1

Looking at the given equations, we have;

Growth;

A = 20,000(1.08)^t

A = 40(3)^t

P = 1700(1.07)^t

Decay;

A = 80(1/2)^t

A = 1600(0.8)^t

P = 1700(0.93)^t

Answer:

* For future readers *

I just took the test :)

Help me find the numbers for the function table

Answers

Answer:

0,4,7

Step-by-step explanation:

you take the input number like 8 subtract it by 4 to get the output

Answer:

'x-4' are 4-4;  8-4;  11-4

Outputs are 0, 4, 7

Step-by-step explanation:

'x - 4' for:

4 = 4-4 = 0

8 = 8-4 = 4

11 = 11-4 = 7

∴ Outputs are 0, 4, 7

Find the surface area of the composite figure.
SA = [ ? ] cm^2

Answers

…..lol sorry don’t know

1.99 divided by 3 to the nearest cent.

Answers

Answer:

nearest tenth?

Step-by-step explanation:

your answer would be .663

Simplify to the tenth would be  make it .7

Evaluate the expression 4^x/2^x for x=3

Answers

Answer:

[tex]\frac{64}{2^3}[/tex]

Step-by-step explanation:

[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]

Explain pleaseeeeeeeeeeeee

Answers

Answer:

81°

Step-by-step explanation:

all triangles = 180°

Help I don’t know what to do

Answers

Answer:

20 mm (C)

Step-by-step explanation:

CAN SOMEBODY PLEASE HELP ME WITH THIS?

Answers

1. Answer= 41
2. Answer= 285
3. Answer= 7

I need help please :)

Answers

Answer:

4th option

10x + 32 / x(x+8)

Step-by-step explanation:

What two consecutive numbers make 81

Answers

Answer:

40 and 41.

Step-by-step explanation:

81/2 = 40.5, thus 40 and 41

Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?

Answers

Answer:

The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).

Step-by-step explanation:

I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)

Answers

Answer:

6 inches fell an hour

6x30 =180 so One hundred eighty inches in 30 mins

Step-by-step explanation:

Answer:

0.5 in per hour

16.2 in 30 hours

Step-by-step explanation:

If you want to find the amount of rain that falls in one hour, divide 13 by 24

13/24=  0.541 inches per hour

Then multiply this by 30

0.541 x 30 = 16.23

Since they want you to round to the nearest tenth, your answers would be:

0.5 in per hour

16.2 in 30 hours

which value is not equivalent to the other's​

Answers

Answer:

The one that is not equivalent to the others is:

2 + 2 + 2 + 2 + 2

Step-by-step explanation:

this is because all of the other ones are equal to 32. This one equals to 10.

1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3

Answers

Answer:

Step-by-step explanation:

Given data:

Mass of the liquid ( m ) = 550 kg

Volume of the liquid ( v ) = 680 litre

= 680*10-3 m​​​​​​3

 = 0.68 m​​​​​​3

Now, Density of the liquid = (m/v)

= (550 kg )/(0.68 m​​​​​​3​​​)

= 809 kg/m​​​​​​3

The density of the liquid is 1,090 kilograms per cubic meter.

What is density?

The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,

D = m / v

First, convert the volume into cubic meters. Then we have

⇒ 1.4 x 0.001

⇒ 0.0014 m³

The density of the liquid is calculated as,

Density = (mass ÷ volume)

Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000

Density = 1,090 kg/m³

Therefore, the density of the liquid is 1,090 kg/m³.

More about the density link is given below.

https://brainly.com/question/15164682

#SPJ2

Which linear equation is written in slope-intercept form?

Question 12 options:

6y = –2x + 12


–2x = y + 5


3x – 4y = 9


y = –3x +1

Answers

Answer:

It’s the 3rd one

Step-by-step explanation: it’s the 3rd one

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Question 1

Answer: C) First and last term

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

Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

=========================================================

Question 2

Answers:

Root of the first term = 9vRoot of the last term = 10

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

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Solve the linear inequality below.
9x – 8 > 4x + 7

Answers

Answer:

Step-by-step explanation:

9x-4>4x+7

-4x

5x-4>7

+4

5x>11/5

x>2.2

Answer:

9x-4x>7+8

5x > 15

X >3

So the answer is x >3

1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?

Answers

Answer:

ira can make 4 pizzas

Step-by-step explanation:

What was the estimated population population of Rhode Island in 1760?

Answers

Answer:

D. 45,000

Hope this helps :)

find a rational number between 8 and 9​

Answers

⟰ ANSWER ⟰

ANS IS IN THE PIC

HOPE IT HELPS U!!!!(:
Other Questions
Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week. Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes? Quadrilaterals DONT and WALK are similar. Find the length of side DO.(15 Points)Send ASAP PLSS What is the slope of a line that passes through (2, -5) and (6, -2)? Question 3 options: -4/3 -3/4 3/4 4/3 Ill Give Brainlest if u can answer both!!!! Question 14What are some smart actions you can take before applying to colleges or tradeschools?A. Research the school to see if it offers a degree program that interests you.B. Find out how much it costs to attend the college.C.Determine what other features the school offers that may help you. Forinstance, financial aid, work study programs, etc.D. All of the above. 20. Calculate the volume of 847 g of SO2 gas at a pressure of 89.4 kPa and 40 C.JUST NEED THIS LAST ONE SOMEONE HELP ME ITS DUE SOON 4. Find the volume of the figure. The base is a square. 5. Find the volume of the figure. Leave the answer in the terms of pi Please answer and show your work Write the MIPS assembly code to find the area of a given shape. Your program must take a floating-point value and shape (Circle - 1, Triangle - 2, Square - 3) as input and return the circumference/perimeter and area of the shape. Assume the floating-point value units are meters and the triangle is an equilateral triangle. [Note: you can search for the expression to calculate the area and circumference/perimeter of these shapes] WHATS THE ANSWER?? answer ASAP NO FILE AT ALL What were conditions like for Japanese Americans in U.S. internment camps? use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3)) connexus lession 10:making communities unit review What is a central idea? (1 point)1. a main topic 2. an area of concern3. the most important idea 4. the supporting information On a road trip, Lota drives 55 miles each hour. The table below shows how far she travels each hour.h hrs of driving 1 2 3 4 5 6m miles completed 55 110 165 220 275 330Which equation represents the relationship between h, the number of hours she drives and m the number of miles she completes?m = h/55m = 55/hm = 55hm + h = 55 cow,23Subject - SocialProblems of population.managerrentPage:Question/Answer) "Both male and female.me equal" Emplain this sadement ? Solve equation 4x-1=0 9.He climbed up the tree and plucked some mangoes. (Make simple) please help me. Attachment: The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets. per adult $2. Per child $8.