a) Rationalise the denominator of a,b,c

A) Rationalise The Denominator Of A,b,c

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer 2

Answer:

The above answer is correct


Related Questions

The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *

Answers

Answer:

4 Dogs and 10 Cats

Step-by-step explanation:

2*2=4

5*2=10

4:10

Hope this helped!

Two containers of gasoline hold a total of 43 gallons. The big container can hold 8 less than twice the
smaller container. How many gallons does each container hold?
The smaller container holds
gallons while the larger one contains
gallons
Question Help D Video Written

Answers

Answer:10

Step-by-step explanation:

What is the midpoint of the segment shown below (3, 7) (2, -1)

Answers

Answer:

(3,7) (2,-1)

(y1,Y2K)(z1,z2)

(y2-y1)(z2-z1)

(7_3)(-1-2)

(4)(-3)

=-12

-19p ≤ 57
What could p be??

Answers

Answer:

81 units 2. Page 57. These items may be used by Louisiana educators for educational purposes. Algebra 1 Answer Key. ITEM 56. A committee at the ...

Step-by-step explanation:

Answer:

p≥−3

Step-by-step explanation:

Pls answer if you know the ANSWER


Cindy had 5 blue cars and 12 red cars in her collection. what is the ratio of blue cars to red cars. SELECT ALL THAT APPLY
5:17
5:12
5:7
12:5​

Answers

Answer:

5:12

Step-by-step explanation:

5:12 is the answer.

Explanation: 5 blue cars, and 12 red cars. Therefore, the answer is 5:12.

What is the area for this?

Answers

Answer:

174 ft sq is area of this figure

please help please really need help please

Answers

Answer:

x = 1

y = -2

Step-by-step explanation:

5x - 2y = 9 -----------(I)

2x + 7y = -12 --------------(II)

Multiply (I) by 7          35x - 14y = 63

Multiply (II) by 2         4x + 14y  = - 24   {Now add and thus y will be eliminated}

                                  39x         =      39

                                          x = 39/39

x = 1

Plugin x = 1 in equation(I)

5*1 - 2y = 9

5 -2y = 9

    -2y = 9 -5

    -2y = 4

        y = 4/-2

        y = -2

Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.

Answers

1. False
2. True
3. False
4. False
5. False


13. False
14. False

Which one plss I need to pass

Answers

Answer:

the middle or bottom one

Step-by-step explanation:

Interior-Angle
Lesson 7.8
Divide the polygon into triangles. Then, multiply the number
of triangles by 180 to find the interior-angle sum for each
polygon.

Answers

Answer:

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

copied from,

www.bbc.co.uk › guides › revision

Hope this helped

Hope this helpedALL THE BEST !!

A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.

please answer fasttt

Answers

Answer:

20 is the answer

Step-by-step explanation:

48-28=20

Alexander needs to collect at least 120 cans for a food drive to urban community service credit he has already collected 64 items

Answers

Answer:

120-64=56

Step-by-step explanation:

Is this expression equivalent to 1.5?

15.0 / 10
15.0 (divided by) 10

Answers

Answer:

Yes it is true

Step-by-step explanation:

15/10 equals 1.5

Find the 80th derivative of f(c)
ET
sin(2).
f(80)
Submit Question

Answers

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

Simplify the expression to a polynomial in standard form:
(
3
x
+
5
)
(
2
x
2
+
x
+
5
)
(3x+5)(2x
2
+x+5)

Answers

Answer:

9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2

Step-by-step explanation:

(3x+5)(2x2+x+5)(3x+5)(2x2+x+5)

 

=(6×2+3x

2

+15x+10x2+5x+25)(3x+5)(2x2+x+5)=

=(3x

2

+20x+10x2+25+6×2)(3x+5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+6×2⋅3x+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+6×2⋅5)(2x2+x+5)=

=(9x

3

+15x

2

+60x

2

+100x+30×2+50x2+75x+125+18x

2

x2+30×2)(2x2+x+5)=

=(9x

3

+75x

2

+175x+50x2+125+30×2+18x

2

x2+30×2)(2x2+x+5)=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+30×2⋅2x2+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30×2x+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+30×2⋅5+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+18x

2

x2⋅2x2+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

2

x2x+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+18x

2

x2⋅5+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+30×2⋅2x2+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30×2x+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+30×2⋅5=

=18x

3

x2+9x

4

+45x

3

+150x

2

x2+75x

3

+375x

2

+350×2+175x

2

+875x+100x2

2

+50x2x+250x2+250x2+125x+625+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2=

=9x

4

+120x

3

+550x

2

+1000x+100x2

2

+500x2+625+18x

3

x2+150x

2

x2+350×2+50x2x+60×2

2

+30x

2

x2+150×2+36x

2

x2

2

+18x

3

x2+90x

2

x2+60×2

2

+30x

2

x2+150×2

12)
Data is collected on the amounts paid to several yard cutting services. The mean of the data is $65 per yard, and the median of the
data is $60. After comparing the mean to the median, which statement BEST describes the data?
A)
The data contains no outliers.
B)
No conclusion can be made about outliers.
The outliers of the data are extremely low rates.
D)
The outliers of the data are extremely high rates.
13)
25
28
30
32
41
45

Answers

Answer:

I believe it is B or C

Step-by-step explanation: sorry if wrong...

35 POINTS AND BRAINLIEST PLEASE ANSWER PROPERLY MUST BE DONE IN 10MIN​

Answers

C 89.54 goes to A

D goes to B

A goes to C

B goes to D

F goes to E

Since the laptop is on sale, that would make it $206.99.

-4 < t + 2 < 4
How do you do this?

Answers

Answer:

t(-6,2)

Step-by-step explanation:

t(-6,2)

t+2>-4

t+2<4

t>-6

t+2<4

t>-6

t<2

On Monday, Maggle ran n miles. On Tuesday, she ran 90% of the number of miles that she ran on Monday. On Wednesday, she ran 50% of the

number of miles that she ran on Tuesday.

Move a symbol to the box and expressions to the blanks to create two equivalent expressions that represent the total number of miles

Maggie ran on Monday, Tuesday, and Wednesday.

First expression: n +0.91

Second expression:

+

х

0.45

0.45n

0.5

0.5

1.35

1.5

2.35



Answers

Answer:

[tex]Total = 2.35n[/tex]

Step-by-step explanation:

Given

Monday = n

Tuesday = 90% of Monday

Wednesday = 50% of Tuesday

Required

Determine the total miles

We have:

Tuesday = 90% of Monday

Substitute n for Monday

Tuesday = 90% of n

[tex]Tuesday = 90\% * n[/tex]

Express percentage to decimal

[tex]Tuesday = 0.90 * n[/tex]

[tex]Tuesday = 0.90n[/tex]

We also have that:

Wednesday = 50% of Tuesday

Wednesday = 50% * Tuesday

Substitute 0.90n for Tuesday

[tex]Wednesday = 50\% * 0.90n[/tex]

Express percentage to decimal

[tex]Wednesday = 0.50 * 0.90n[/tex]

[tex]Wednesday = 0.45n[/tex]

The total number of miles is:

[tex]Total = Monday + Tuesday + Wednesday[/tex]

[tex]Total = n + 0.90n + 0.45n[/tex]

[tex]Total = 2.35n[/tex]

There are 10 socks in a bag. 5 of those socks are blue.

Answers

Answer:

so 1/2 of those socks aren't blue?

Sandy spent half of her allowance going to the movies. She washed the family car and camed 6
dollars. What is her weekly allowance if she ended with 11 dollars?

Answers

Answer:

12

Step-by-step explanation:

12 is what she ended with and spent half of the weekly allowance and got 6 for the car wash.

so 12 - 6 is 6 which is the money she has after the movies but before the car wash.

And before the movies she has 12$ a week


A coin with a head side and a tail side is flipped 3 times.
What is the probability that it lands on tails all 3 times?

Answers

Answer:

like a 10% chance

Step-by-step explanation:

Assuming heads and tails are independent i.e. obtaining one a result doesn’t affect the outcome of the next draw, The answer is the probability multiplied three times.

Find the length of side x in simplest radical form with a rational denominator.
45°
45°
x
√2
_
_

Answers

Answer:

a & b=a

Step-by-step explanation:

If a triangles' degrees are 45° 45° and 90°; you have what is called a Special Right Triangle. This is simple and easy to understand with the right equations and setup. Draw yourself a right triangle with side a & b being the same length, label your triangle and angles. I am guessing with the limited question that your side x is either side a or b on your triangle, which means they are both the same length. But if you have a measurement for side c, your hypotenuse, the equation would be: c

[tex] \frac{c \sqrt{2} }{2} [/tex]

Triangle ABC is similar to Triangle XYZ.
Solve for x and y

Answers

Yz =5
Xz= 7
Hope this helps!!!

I need help with this

Answers

Answer:

what is your cam qlty

Step-by-step explanation:

Answer:

22ft^2

132 ft^3

Step-by-step explanation:

reducción de 7a-10b+6b+2a+9a=


Answers

Answer:

7a-10b+6b+2a+9a=?

7a+2a+9a= 18a

-10b+6b= -4b

Final: 18a-4b

Step-by-step explanation:

Hope that this helps you out! :)

Is this expression equivalent to 1.5?

1.5 / 10

(1.5 divided by 100)

Answers

Answer:

Very False

Step-by-step explanation:

1.5 divided by 100 I can tell you is not equivalent to 1.5

2. Which of the following fractions is greater
than 3/4?

A 1/4
B 5/6
C 3/8
D 2/3

Answers

3/4 = 0.75

A 1/4 = 0.25
B 5/6 = 0.83333
C 3/8 = 0.375
D 2/3 = 0.6666

Therefore B 5/6

Answer: I THINK it would be 1/4. I could be incorrect though.

Please I would be grateful I need help

Answers

Answer:

A.. 3x

Step-by-step explanation:

Option A is the correct answer.

[tex] 9xy^2 - 6xy - 3x[/tex]

[tex]= 3x(3y^2 - 2y - 1)[/tex]

The answer is A which is 3x

There are 3 space helmets and you take away 2,how many do you have?​

Answers

Answer:

1 space helmet

Step-by-step explanation:

subtract 3-2 = 1 helmet

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