rationalise 2 divided by 2 square root 3​

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]

I am joyous to assist you at any time.


Related Questions

The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?

Answers

Answer:

19 degrees Fahrenheit.

Step-by-step explanation:

19-7=12

4x - 6 ≥ 6x - 20 helppp

Answers

Answer:

[tex]x \leq 7[/tex]

Interval notation: (-∞ , 7]

Step-by-step explanation:

Hi there!

[tex]4x - 6 \geq6x - 20[/tex]

Add 20 to both sides:

[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]

Subtract 4x from both sides:

[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]

Divide both sides by 2:

[tex]7 \geq x\\x \leq 7[/tex]

I hope this helps!

Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.​

Answers

Given

Age of sonali father is year 3 times more then Sonali.

Age of sonali father is 44.

What To Find

Age of sonali

Solution

Let assume the age of sonali be x

➡ Age of sonali = 3x + 5

➡ Age of sonali father = 44

According to the question

[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]

Now , Solving this linear equation.

[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]

Hence , the age of sonali is 13 years.

Answer:

Sonali is 13 years old.

BRAINLIEST, PLEASE!

Step-by-step explanation:

Assigning variables:

s = Sonali, f = father

Setting up an equation:

f = 5 + 3s

Solving with substitution:

(44) = 5 + 3s

39 = 3s

s = 13

Checking the work:

44 = 5 + 3(13)

44 = 5 + 39

44 = 44

Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00

Answers

Answer:

$5.76

Step-by-step explanation:

Prinkpal balance = $24^4^6% =5.76

The principle amount will be equal to $100. The correct option is B.

What is simple interest?

The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.

The principle amount will be calculated by using the simple interest formula.

SI = ( P x R x T ) / 100

24 = ( P x 0.06 x 4 )

P = 24 / ( 0.06 x 4 )

P = $100

Therefore, the principle amount will be equal to $100. The correct option is B.

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Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?

Answers

Answer:

64, 65, 66

Step-by-step explanation:

16 x 4 = 64

13 x 5 = 65

6 x 11 = 66

^^

-6(-p + 8) = -6p + 12

Answers

ANSWER:
p=5

explanation:
distribute the -6 and simplify

Answer:

p = 5

Step-by-step explanation:

[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]

Find the distance between each pair of points (2, -6) and (7, -2)

Answers

Answer:

6.4 units

Step-by-step explanation:

The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So

a**2 + b**2 = c**2 where a is the x difference and b is the y difference

(2 -7)**2 + (-6 -(-2))**2 = c**2

-5**2 + -4**2 = c**2

25 + 16 = c**2

41 = c**2

41**(1/2) = (c**2)**(1/2)   and ignore the negative because they're lengths

6.4 = c

Find the area of the triangle.

A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft

Answers

Answer:

formular 1/2 × base × height

1/2 × 2 × 8

16/2 = 8 ft

ans 8 ft

Answer:

Step-by-step explanation:

a = 2 ft ;   b = 8 ft ;  C = 91

[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]

What is the reference angle for 283°?

Answers

What is the angle to get the reference angle

Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?

Answers

Answer:

60 degrees

Step-by-step explanation:

just add 33 and 27

Answer:

60°C

Step-by-step explanation:

27 - (-33) = 27+33 = 60

Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...

Answers

Answer:32x -72

Step-by-step explanation:

How many faces does a cube have

Answers

Answer:

6

Step-by-step explanation:

it has 6 sides

please give brainliest

Answer:

6 faces

Step-by-step explanation:

3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A​

Answers

Answer:

76( 6487235)

Step-by step explanation:

Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43​

Answers

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?

Answers

She would have to work 18 hours to get 216$

Find the value of x .

Answers

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

This is my second time posting this can anyone help me PLZ !!

Answers

Answer:

Third one

Step-by-step explanation:

right = +

left = -

up = +

down = -

x - 7 + 3

Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?

Answers

Answer: 140 sit-ups

Step-by-step explanation:

1 set= 28 sit ups

28 * 5= 140

Answer:

140

Step-by-step explanation:

28 times 5

Which number is a not a solution to the inequality m-8<2

Answers

The number 9 I think

what is 2x-9=5x+12 with the step by step

Answers

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?

Answers

Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

que expresión es equivalente a 7,299?

Answers

Answer:

Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.

~

Find the missing exponent.
8) 6X = 7,776

Answers

Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

1296 is the answer bc of math

(a+b)²......what is the answer​

Answers

Answer:

(a+b)^2

= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)

Answer:

There can be 2 answers

Step-by-step explanation:

a²+2ab+b²= (a+b)²

or

(a+b)×(a+b)

= (a+b)²

For which of the following displays of data is it not possible to find the range?
Choices:
line plot
Frequency table
histogram
stem and leaf plot​

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

you can't find the range from a stem and leaf plot

2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60

Find the cost of a cap, and the cost of 3 T-Shirts​

Answers

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

Learn more about Equation:

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The solution for the graph below is:

Answers

the answer is (2,1). the lines meet at those points.

1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me

Answers

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.​

Answers

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]

but dy/dx is -1 :

[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]

substitute for x :

[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]

Subtract.

−135−(−258)

Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]

Answers

Answer:

123/1

Step-by-step explanation:

-135- (-258)

123

123/1

brainliest is appreciated

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