Rationalise this fraction

Rationalise This Fraction

Answers

Answer 1

Answer:

28-14[tex]\sqrt{3}[/tex]

Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]


Related Questions

What is the perimeter of a triangle with vertices at (2, 3) (4, -1) and (-1, -5)?

Answers

Answer:

Step-by-step explanation:

Find the measure of arc RPQ.

Answers

Answer: 227 degrees

Step-by-step explanation:

Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Using the table from the last question answer the following questions:

1. For which ticket prices will the theater earn no revenue? Explain how you know.


2. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.

Answers

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

What is an Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket = (400 - 8p)p

Revenue = 400p - 8p²

For no revenue:

400p - 64p² =  0

p = $0 or p = $50

For revenue of atleast 3200:

400p - 8p² =  3200

p = $10 or p = $40

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

Find out more on Equation at: https://brainly.com/question/1214333

Type an equation for the line
shown in the graph.
(-2,3).
(2.5)

Answers

Answer:

y= 1/2x + 4

Step-by-step explanation:

the slope is one half and the y intercept is 4.

please give brainliest!!

Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.


A - 19.2
B - 144
C- 12
D- 288

Answers

Solution:

Note that:

Area of square = s² (s = Side length)

Finding the leg of a square with area of 369 units²

c² = 369=> c = √369 units

Finding the leg of a square with area of 81 units²

b² = 81=> b = √81 = 9 units

Finding side length a using Pythagoras theorem

(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 units

Finding the missing area of the square.

Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²

Option D is correct.

9. Find the area of the figure.
What is the answer

Answers

Answer:

73.12 in.²

Step-by-step explanation:

The entire area is made up of a semicircle and a rectangle. We find both areas and add them.

total area = area of semicircle + area of rectangle

total area = (1/2)πr² + length × width

total area = 1/2 × 3.14 × 4 in. × 4 in. + 8 in. × 6 in.

total area = 73.12 in.²

1 gram of sugar costs 5400
how much would 1 ton cost?

Answers

Answer:

5400000000

Step-by-step explanation:

1gram=5400

1kg=5400*1000 (1kg=1000gm)

=5400000

1quntal=5400000*100 (1quntal=100kg)

=540000000

1ton=540000000*10 (1ton=10 quntal)

=5400000000

Ben gets 14/20 in his Geography test. What percentage is this?

Answers

Answer:

70%

Step-by-step explanation:

Answer:

14/20 × 100=70% Hope this helps

- 1/3(6x+18)=10
Help me find the answer before 7:40

Answers

Answer:

x = -8

Step-by-step explanation:

[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]

[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x+18=-30[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]6x+18-18=-30-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6x=-48[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]

[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-8[/tex]

~Learn with Lenvy~

If you are researcher how would you make sure that the result or outcome of your study will be accurate and precise?​

Answers

Answer:

Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.

Do the test multiple times. The variations must be small.

keep everything calibrated (marked)

record measurement correctly with the correct units

Step-by-step explanation:


Find the zeros of the function f (x) = 4x^2-16

Answers

Answer:

x=-2

x=2

Step-by-step explanation:

We can think of this equation like a statement

"4 times what squared minus sixteen is equal to zero"

First, we need to rearrange the equation:

[tex]4x^2=16[/tex]

Now using our common knowledge, we know that 4 times 4 is equal to 16

now we have another statement:

"x times x is going to be equal to 4"

*Remember that the two numbers have to be the same since x is squared*

Again, we can use common knowledge and say that 2x2 is equal to 4

This means that x=2

Now when you square a variable, the variable can have to values, a positive, and a negative value

So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4

So we can come to a conclusion that

x=2

AND

x=-2

Sarah has two sets of cards. The first set of 26 cards is labeled with all the letters of the English Language. The second set of 10 cards is numbered 0 through 9.
If Sarah draws one lettered card and one numbered card at random, what is the probability of her drawing a letter in her name and an odd number? (Enter answer as a reduced fraction).

Answers

Answer:

1/13

Step-by-step explanation:

Probability of Sarah drawing a letter in her name

= number of letters in her name: S, A, R and H / total number of letters

= 4/26

Probability of drawing an odd number

= odd numbers / total numbers

= 5/10

Combining the above, Probability of her drawing a letter in her name and an odd number = 4/26 * 5/10

= 1/13

Total Alphabetical cards Sarah has ⇢ 26

Total Letters Sarah's name has ⇢ 4

Probability of getting a card with one of the letter in her name ⇢ 4/26

Total numerical Cards Sarah has ⇢ 10

Total odd numbers in those cards⇢5

Probability of getting a card with an odd number⇢ 5/10

probability of her drawing a letter in her name and an odd number⇢ 4/26 x 5/10 = 1/13

WHAT IS THE ANSWER OF 3/4=6

Answers

Answer: The answer to this is "False"

Which terms could have a greatest common factor of 5m2n2?.

Answers

Answer:

a common factor would be 5m^4n^3 or 15m^2n^2

Step-by-step explanation:

not sure what terms they want you to choose from but anything that starts with a number (5,10,15,) and "m" would any number 5 would go into

please help me again I have 2 tries again please and explain, please

Answers

Answer:

8

Step-by-step explanation:

→ Find width of first painting

48 ÷ 6 = 8

→ Find length of second painting

64 ÷ 8 = 8

Find the hypotenuse round to the nearest hundredth

Answers

Answer:

8.94

Step-by-step explanation:

hypotenuse=h

h=4^2+8^2

h=16+64

h=80

h=√80

h=8.94

Answer:

Step-by-step explanation:

[tex]hypotenuse=\sqrt{4^2+8^2} =\sqrt{16+64} =\sqrt{80}\approx 8.94[/tex]

Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

Answers

Answer:

Step-by-step explanation:

its A :)

Answer= y=2x+6

The slope-intercept form of an equation of a line: y=mx+b

m - slope

b - y-intercept

We have the points (5, -4) and (-1, 8). Substitute:

m= [tex]\frac{8-(-4)}{-1-5}[/tex] =[tex]\frac{12}{-6}[/tex] =-2

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line,

-4=-2(5)+b

=-10+b

6=b

y=2x+6

When the three integers 400, 366, and 213 are divided by a positive integer d > 1, the remainders are the same. What is the least possible value of d

Answers

The number d is not a divisor of the integers 400, 366 and 213

The least possible value of d is 17

How to determine the least possible value of d

The numbers are given as:

400, 366 and 213

The divisor is given as: d

Where d > 1

To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.

#This iterates from 2 to the smallest number of the three divisors

for d in range(2,213):

   #This checks for the common remainder

   if(400%d == 366%d) and (400%d == 213%d):

       #This prints the value of d, when the smallest remainder of all three integers is determined

       print(d)

At the end of the program, the output is 17

Hence, the least possible value of d is 17

Read more about remainders at:

https://brainly.com/question/25289437

what is 1/10 + 1/3 and simplify it

Answers

Answer:

[tex] \frac{13}{30} [/tex]

Step-by-step explanation:

Reduce the fractions to having a common denominator (find the L.C.M. of 10 and 3).

[tex] \frac{1}{10} + \frac{1}{3} [/tex]

[tex] = \frac{1 \times 3}{10 \times3} + \frac{1 \times 10}{3 \times 10} [/tex]

[tex] = \frac{3}{30} + \frac{10}{30} [/tex]

[tex] = \frac{13}{30} [/tex]

What type of triangle is a 30, 40, 50

Answers

Answer:

Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle

Step-by-step explanation:

please mark me as brainlist please

Please find α/beta. EXPLAIN all the steps and use a trigonometric function.(give the value, explain and show all steps with a sentence for brainiest) ty

Answers

Answer: I don't know

Step-by-step explanation:  Use the fact that 180° is equivalent to \pi  radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.

225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad

\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}

I know this is probably not right sorry if I wasted your time cause my friend told me this.

What’s this answer?

Answers

5 and 11/12 is the answer

Answer:

175/24

Step-by-step explanation:

First change mixed fraction to improper fraction.

1¾= (1×4+3)/4

= 7/4

4⅙= (4×6+1)/6

= 25/6

now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)

I.e

7/4 × 25/6

= 7×25/4×6

= 175/24

it cannot be further simplified so 175/24 is the answer.

Need help on this question ASAP pleasee and thank you (:

Answers

Easiest way to understand it is like this x^1/3 is the same as cube root(x)
So in this case: cube root(4) * cube root (16)
Now with radical rule we can combine 4 and sixteen under the same cube root.
So: cube root (4*16)
Or cube root (64)
And simplify = 4
Because 4^3 = 64

Which line has a slope of -3?
y= 4x + 3
y= 3x - 3
y=-3x+1
y=-2x - 3

Answers

Answer:

y= 4x + 3

Step-by-step explanation:

mark me brainliest!

The total remodeling budget for Central Square Tower is 1.5×106 dollars. The owners of the building have set aside 6×105 dollars for upgrading just the lobby. What percent of the budget will be spent on the lobby? Write your answer in standard form. Do not write exponents.

Answers

Answer:

40%

Step-by-step explanation:

assuming you actually mean 10^5 and 10^6, to find percentages you do

part/total x percent/100

you have (6x10^5/1.5x10^6) x (x/100)

cross multiply, and you have 6x10^7=1.5x10^6x

divide on both sides by 1.5x10^6

x=40

so the answer is 40%

Characteristics of Polynomials

Answers

d.) A polynomial cannot have a variable in the denominator.
A polynomial consists of constants, variables and exponents. Polynomials are named based on the number of terms they have. Polynomials with 1 term are called monomials. Those with 2 terms are called binomials, and the ones with 3 terms are called trinomials.


Brainlest pls.



The there angles in a triangle ge in the ratio
of 2.4.6. Find the measure of
and hence state the type of triangle.
of each angle

Answers

Answer:

Step-by-step explanation:

45:60 as its simplest form

Answers

Answer :

3/4.

Explanation

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 60 is 15

Divide both the numerator and denominator by the GCD

45 ÷ 15

60 ÷ 15

Reduced fraction: 3/4

Therefore, 45/60 simplified to lowest terms is 3/4.

Hi! I hope you are enjoying your day!

In order to simplify this ratio (and 45:60 is a ratio), we should divide both sides of the ratio by 5 (because both 45 and 60 are evenly divisible by 5)

Divide:

9:12

Is the ratio in its simplest form? No.

Why?

Because 9 and 12 can be divided by 3:

3:4

Now the ratio IS in its simplest form.

Hence, the answer is

[tex]\boxed{\boxed{\bold{3:4}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Write a function for the line shown

Answers

Answer: Y = -1/2X - 10
————————————————————-
Identify type of line: Linear so y = mx + b
Pick two points: (-10,-5),(0,-10)
Find slope:
M = ((-10)-(-5))/(0-(-10)) = -5/10 = -1/2
Plug-in to linear equation:
y = mx + b
(-5) = (-1/2)(-10) + b
(-5) = 5 + b
-10 = b
——————————————————————
So…. Y = -1/2x - 10

There are 16 girls in the
class. This represents 20%
of the class. How many
total students are there

Answers

Answer:

80 total students

Step-by-step explanation:

hope this helps!

Answer:

80

Step-by-step explanation:

If 16 is %20 then it represents 1/5 of the class. Multiply 16 x 5 = 80

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