The length of each side of an equilateral triangle having an area of 9√3 cm² is

Answers

Answer 1

Answer:

6 cm

Step-by-step explanation:

Let each side of the equilateral triangle be a.

Given, area of an equilateral triangle = 9√3 cm2

Area of an equilateral triangle = (√3)/4 × (Side)²

=> (√3)/4 × a² = 9√3

[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]

=> a² = 36

[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]

∴ Side = 6 cm  [taking positive square root because side is always positive]


Related Questions

If 12 + 2 = 14, then 14 = 12 + 2 true or false​

Answers

TRUE TRUE TRUE TRUE TRUE

Answer:

true

Step-by-step explanation:12+2=14 that is simple distributive property

Please help with questions 4,5 and 6!

Answers

Answer:

Step-by-step explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 )  & (3 , 6)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]

             [tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]

             = (2 , 4)

6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

                  [tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]

In a machine, a particular gear completes a rotation in 6 seconds. Another gear completes a rotation in 9 seconds. At a certain instant, both gears complete their rotations at exactly the same time. How many seconds will elapse before the two gears complete their rotations at exactly the same time again?

Answers

36 seconds.

The first time the two gears will complete their rotations at the same time will be after 18 seconds. One gear will have rotated three times, the other, two. Keep counting the multiples of either number until you reach one that both 9 and 6 have. The next one after 18 is 36.

WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step​

Answers

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

Chandler drives his car 20 miles round trip to work every day. How many total miles

does he drive to and from work in 5 days?

Answers

If I'm correct, you just multiply 20 times 5 and you get 100 miles. If it's 20 miles per day, you just count up 20 miles per day as the days increase.

the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way​

Answers

Answer:

Step-by-step explanation:

Take out a common factor (x)

x ( 1 - 0.10 )                

Now do the subtraction

0.90x

WILL MARK BRAINLIEST IF CORRECT
1) alyssa has 4 less than 7 times the number of dimes (j) than jessica has which expression shows the number of dimes alyssa has.

A) 4 - 7j
B) 4J - 7
C) 7 - 4J
D: 7J - 4

Answers

The answer would be “D” because it’s is 4 less than 7j.

Solve the following equation for x to find the total number of people who became members of a social networking site for a certain month:


x = 0.8x + 72


How many people became members of the site that month?


A.112

B. 288

C.360

D.432
HELP ME PLZ IT DUE IN THREE HOURS

Answers

X-0.8x=72
0.2x=72 /0.2
X = 360

HELP ASAP will give BRAINLIEST

Answers

Hey there! I'm happy to help!

The question tells us that m∠JKL is 54. We see from the diagram that this is the combination of the angles m∠JKM and m∠MKL. So, we can combine their values, which are equal to 54 to find x.

13x+1+5x+4=54

We combine like terms

18x+5=54

We subtract 5 from both sides.

18x=49

We divide both sides by 18.

x=2.7222222....

Now, we want to find the measure of m∠MKL. We plug our x value into the value of this angle and evaluate.

5(2.722....)+4=17.61111....... or 17 11/18.

Have a wonderful day and keep on learning! :D

Write the descending chromatic scale beginning on C

Answers

Answer:

c(half note), b(flat, quarter note), a(quarter note), g(quarter note), f(quarter note), e(flat, quarter note), d(quarter note), c(half note)

Step-by-step explanation:

i cant draw it on the sheet music itself but I hope that helps

Choose the postulate that is NOT represented in the diagram.
A
If two lines intersect, they intersect in exactly one point.
B
Given a point on a plane, there is one and only one line perpendicular to the plane through that point.
С
If two points lie in a plane, then the line containing those points will also lie in the plane. D
if two planes intersect, they intersect in exactly one line.


Answers

A Hope this helps you

Solve 1/2=x+7/2-1 1/3

Answers

Answer:x 2/3

Step-by-step explanation:

Answer:

X=5/3

Step-by-step explanation:

x+4+3(x)=x-8
Answer this for me

Answers

Step-by-step explanation:

3x= (-8) -4

x=(-12)/3

x= -4

Hello!!! I can help

Answer:

 =  − 4

Step-by-step explanation:

4. In the diagram, ABCD is a straight line. Calculate the values of x and y. ​

Answers

Answer:

x is 108° and y is 144°

Step-by-step explanation:

for x:

[tex] x + 36 \degree + 36 \degree = 180 \degree \\ \{isoceles \: triangle \: angle \: sum \} \\ x + 72 \degree = 180 \degree \\ x = 180 \degree - 72 \degree \\ x = 108 \degree[/tex]

for y:

[tex]y + 36 \degree = 180 \degree \\ \{straight \: line \: angles \} \\ y = 180\degree - 36\degree \\ y = 144\degree[/tex]

Answer:

X+36+36=180

X+72=180

X=180-72

X=108

36+BC^D=180

BC^D=180-36

BC^D=144

BC^D corresponds with y

Therefore y=144

35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please help me show how to get 17 401​

Answers

Well umm check calculator again maybe you did a mistake in typing one of the numbers

Lyndsey has 4 ½ cups of ice cream and wants to give each child at the shelter ½ cup of ice cream. How many children can she serve?



A.4


B. 5


C. 8


D. 9

Answers

Answer:

d

Step-by-step explanation:

2 halfs for each cup and the extra 1 equals 9 total

Answer:

9 children.

Step-by-step explanation:

4 1/2 / 1/2

= 9/2 / 1/2

= 9/2 * 2

= 18/2

= 9.

GUYSS HELPP!!! How do you see the pattern growing?

Answers

7, 12, 17, it’s basically adding 5 everytime

Step-by-step explanation:

i see it as adding to the exterior while taking away from the interior getting bigger but losing the inside as an exchange

a+b in terms of a and evaluated these expressions when a = 3​

Answers

Answer:

If a equals 3 then the answer should be 3b

Step-by-step explanation:

Answer:

a+b=a

or,3+b=3(a=3)

or,b=3-3

or,b=0

b=0 Ans

Hi

What is coefficient of Polynomial?


id .783 844 3157


pa s.12345

z

o

o

m

Answers

a multiplicative factor in some term of

0<4K-5k

Can I get some help thanks

Answers

Answer:

0>k

Step-by-step explanation:

0<4k-5k

Combine like terms

0<-k

Multiply each side by -1, remembering to flip the inequality

0>k

I need help mhm yeah need help I can’t stop cussing ( not so much tho ) so my mum got mad at me and she keeps comparing me to my cousin and saying that she’s way better than me *sigh* it just gives me no self-esteem and brings me down, makes me thinking that I’m not worth it and everything else i don’t know what to do anymore any advice? ( sorry if this is not educati)

Answers

Answer:

just a random Teenage who's been through the same thing

Step-by-step explanation:

if you really care about what your mom think I'd suggest changing some thing's about you . maybe study more or something . if you don't usually try then go ahead try harder.

but if youre doing everything right but your cousin just seem to be better then you can't do much but try to explain to her that you're trying your best

stay safe and don't do anything you'd regret

Your question is not educational, but I'll be happy to give you some advice.

From a person who has dealt with a parent comparing me to others, I completely understand how you feel. Parents do sometimes get mad at their children for misbehaving but it not acceptable whatsoever to bring them down like that. I hope you understand that no one but YOU is allowed to dictate your worth. If you can, I suggest bringing this matter up with your mother and tell her how her remarks make you feel. If you cannot do that, I suggest speaking with a school counselor, friend, relative, or teacher about this. Sometimes expressing your feelings with others is the best medicine.

Have a great day!

What is 3(x-6)+12=6(x+1)-3x show your work.

Answers

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

solve for u
-u + 114 = 262
PLEASE WITCHER3

Answers

Hi ;-)

[tex]-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}[/tex]

Answer:

[tex] - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you[/tex]

A rectangle is a quadrilateral with 444 right angles. A rhombus is a quadrilateral with 444 sides of equal length. What is the most precise name for a shape that is both a rectangle and a rhombus

Answers

A shape that has both 4 right angles AND 4 sides of equal length is a square.

Answer:

Square

Step-by-step explanation:

A shape with 4 right angles and 4 sides of equal length is a square

It makes sense if you think about it for a couple minutes

What is the probability of rolling 2 standard dice which sum to 11?
Answer in fraction form.

Answers

Answer:

total is 11

dice is 2

in percentage is 5.56%

in fraction form its 139/25

Step-by-step explanation:

hope that helps>3

what is ????????????????? 21x+28<10-3x

Answers

Answer:

x < -3/4

Step-by-step explanation:

21x + 3x < 10 - 28

24x < -18

x < -18/24

x < -3/4

Segment addition postulate

Find PQ

Answers

Answer:

PQ = 4

Step-by-step explanation:

As ; PQ=QR

PR = 8

PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4

SO ; PQ = 4 , QR = 4

I hope I helped you^_^

Explain how confounding might be an issue with this study

Answers

Answer:

perhaps because math is a subject that builds on itself. so if you miss or dont know one key formula then it is difficult to understand the others.

math is also a subject that has many different ways to solve one thing

SHARK! The captain see a shark located halfway between him and the diver. Where is the shark located?​

Answers

-16 is the correct answer

ab+c=de-f solve for d

Answers

Answer:

d=(ab+c+f)/e

Step-by-step explanation:

ab+c=de-f

de=ab+c+f

d=(ab+c+f)/e

Answer:

d = (ab + c + f)/e

BRAINLIEST, PLEASE!

Step-by-step explanation:

ab + c = de - f

ab + c + f = de

d = (ab + c + f)/e

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