The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.

The Triangle Below Is Equilateral. Find The Length Of Side X In Simplest Radicalform With A Rational

Answers

Answer 1

Answer:

[tex]\frac{4\sqrt{3} }3}[/tex]

Step-by-step explanation:

Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]


Related Questions

If you will subtract 5.789 from 56.1, what is the difference?

Answers

Answer:

50.311

Step-by-step explanation:

Yep me pls thanks you so much

Answers

Answer:

32

Step-by-step explanation:

To solve, simply put 4 in place of x. 8 times 4 is 32

The solution is -1/2.

Which multiplication equation has the given solution?

Answers

Answer:

5x=-(5/2) ~~ first choice

Step-by-step explanation:

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

(basically trial and error)

What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4​

Answers

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4   4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4    2x3=6     6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

Answer:

1. 2x2x2x3

Step-by-step explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

Answers

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

Answer:

P = 0.205  (20.5%)

Step-by-step explanation:

[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]

Hope this helps

the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

Answers

answer

a.) y=2.5x

area=2.5x^2

b.)2560

Step-by-step explanation:

a.  The construct the expression for the area of the rectangle in terms of x is y=2.5x

b. The area should be 2,560.

Given that,

the length of a rectangular house is two and a half times its width.

Based on the above information, the calculation is as follows:

a) The expression should be y = 2.5x

b) The area should be

[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]  

= 2560

Learn more: https://brainly.com/question/1301963?referrer=searchResults

20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.

<1 and <5 are remote interior angles of <4.

_ and _ and are remote interior angles of <6.

_ and _ are remove interior angles of <2.

Answers

The sum of the remote interior angles are equal to the exterior angles.

The completed statements are;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Reasons:

Remote interior angles are the angles that are not on the same vertex as an exterior angle

The remote interior angles of ∠4 are ∠1 and ∠5

Similarly, we have;

∠1 and ∠3 are remote interior angles of ∠6

∠3 and ∠5 are remote interior angles of ∠2

Learn more about the exterior and interior angles of a triangle here:

https://brainly.com/question/8797215

subtract the sum of h and 6 from 4

Answers

4-(h+6)

(4-h)-2

Hope this helps

WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS

Answers

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000

Simplify the expression 7h+​(−8.3d​)−13+6d−2.9h.

Answers

Answer:−2.3d+4.1h−13

Step-by-step explanation:

The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width

Answers

Answer:

59 centimeters

Step-by-step explanation:

2+2 (I have been having a lot of trouble on this

Answers

Answer:

it's 4

Step-by-step explanation:

I hope it helps .....

Answer:

4

Step-by-step explanation:

2+2=4

I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!

Does this help?


For what value of x does 32X – 9^3x-4?

Answers

Answer: X = 4/61

Step-by-step explanation

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.




64,16,4,…

This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.

Answers

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

What is geometric progression ?

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

https://brainly.com/question/29657988

#SPJ7

Can u help me w this

Answers

Answer:

a) 15, b) 36

Step-by-step explanation:

Answer:

a is 15, b is 6

Step-by-step explanation:

a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15

b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6

Find the slope of the line that goes through the points (-4,4) and (4,6)

Answers

Answer:

1/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-(-4))

m=2/(4+4)

m=2/8

m=1/4

Type the correct answer in the box. Use numerals instead of words. Find the missing side length, x. 18° 18° 20 B D The value of the missing side length labeled as x is _____​

Answers

Answer:

7.2

Step-by-step explanation:

20/12 = 12/x

20x = 144

x = 144/20

x = 7.2

Check to make sure your answer is right:

20/12 = 1.66666666667

12/7.2 = 1.66666666667

Simplify the expression.

−6−7

Answers

Answer:

-13

Step-by-step explanation:

subtract 7 from -6

Answer: -13

Step-by-step explanation: When you have two numbers with negative signs, you add them but you keep the negative sign.

Therefore, -6-7 = -13

For the future, know these rules for signs when adding, subtracting, dividing and multiplying:

When adding two negative numbers, you add but keep the negative sign like in the above problem.

When adding a positive and negative, you subtract but keep the sign of the highest number. Example: -4+9 = 5 or -11+3 = -8.

When multiplying two negatives or positives numbers, the answer will be positive. When multiplying negatives x positive = negative.

The same applies to division. (-)/(+) = (-) or (+)/(-) = (-)

                                                 (-)/(-) = (+)

Hope this explanation and rules help.

Estimate the product of 54 X 68.​

Answers

Answer:

54 X 68=3672

Step-by-step explanation:

Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?

Answers

Answer:

12.5%

Step-by-step explanation:

I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.

12.5 because when you divide 30 by 240 you get 0.125 but all I had to do is move the decimals 2 spaces over and that would change the answer too 12.5

B. Direction: Rewrite the each of the following using EXPONENTS.

Example: Two to the seventh power =2⁷ 7 × 7 × 7 = 7³

5) six with the exponent
6) 10 × 10 × 10
7) 3 × 3 × 3 × 3

Answers

5) 6 with the exponent.

6 can be with any exponent (since you haven't given it) like, 6¹, 6², 6³, 6⁴ etc. But, since the value is not given..it'll most probably be 6¹.

6) 10 × 10 × 10 = 10³

7) 3 × 3 × 3 × 3 = 3⁴

_____

Hope it helps ⚜

5. 6^1
6. 10^3
7. 3^4
I think this is what you’re asking for?
#brainliest

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

m=3/2

Step-by-step explanation:

Two points are shown

point 1: (0;-3). 4;3. -2-6

point 2: (2;0)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]

[tex]m = \frac{3}{2} [/tex]


4,6,9,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

Given the equation y=|x| complete the table of values

Answers

Answer:

2,1,0,1,2

Step-by-step explanation:

please help ill mark brainliestl​

Answers

Answer:

A) Yes...ABC and GFC are similar using AA.

Step-by-step explanation:

Help me please, thank you very much.

Answers

Answer:

8.9274

Step-by-step explanation:

you need to square both sides then add it together and then find the square root of the new number

use technology to find points and graph the line x - 3y = -6​

Answers

(0,2) is one of the points you could plot

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

Answers

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so
3 = 135 degrees
angles in a circle = 360
360 - (135 x 2) = 90
90 / 2 = 45 so
2 and 4 are each 45 degrees

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

What percent of 38 is 12

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]\frac{38}{100} (12)[/tex]

[tex]=(\frac{38}{100} )(\frac{12}{1} )[/tex]

[tex]=(\frac{19}{50} )(\frac{12}{1} )[/tex]

[tex]=\frac{(19)(12)}{(50)(1)}[/tex]

[tex]=\frac{228}{50}[/tex]

[tex]=\frac{114}{25}[/tex]OR

[tex]4.56[/tex]

ANSWER:

[tex]\frac{114}{25}, OR: 4.56[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

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