What is the simplified version of this?[tex]\frac{\sqrt{2} }{3+\sqrt{5} }[/tex]

Answers

Answer 1

Answer:

(3√2 - √10)/4

Step-by-step explanation:

Simplify, rationalize the denominator

√2/(3 + √5) = √2(3 - √5)/(3 + √5) (3 - √5) =(3√2 - √10)/(3² - 5) =(3√2 - √10)/4

Related Questions

Andrew 720 seconds take shower and 420 seconds eating breakfast how many minutes does it take Andrew take a shower and eat breakfast

Answers

Answer:

Total time = 19 minutes.

Step-by-step explanation:

Given the following data;

Time to shower = 720 seconds

Time to eat breakfast = 420 seconds

To find the total time in minutes;

Total time = 720 + 420

Total time = 1140 seconds

We know that 60 seconds equals a minute.

Total time = 1140/60

Total time = 19 minutes.

Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.

Solve the equation h+28= -37

Answers

Answer:

-65

Step-by-step explanation:

h + 28 = -37

    -28    -28

        h = -65

-72 = 8d what does d =

Answers

Answer:

Step-by-step explanation:

8d=-72

d=-9

-72d=8d
Switch sides
8d=-72
Divide both sides by 8
8d/8=-72/8
D=-9 is the answer

how to prove triangles are congruent

Answers

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

these two triangles are similar. find the missing length.

Answers

so if we go by fractions, you could say that 6 cm is 6/10ths or 3/5ths so 3/5ths of 25 is 15, for questions like this, when you do something to one part you have to do it to both. hope this helps

A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?

A 616161 cubic centimeters

B 969696 cubic centimeters

C 250250250 cubic centimeters

D 280280280 cubic centimeters

Answers

The answer might be A or B I don’t know.

Jenny bought an item online for $180, and she was charged a $9 fee for shipping. What percent of the sale price was the shipping fee?

Answers

Answer:

Step-by-step explanation:

can u please help me with my english ?

Help Please!! On the 1st and 2nd one. just the decent and independent variable and the equation please!

Answers

hi, did you attach the picture for it?

-6 + -8 10 points plz help

Answers

Answer

The answer is negative 14.

Step-by-step explanation:

When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.

14$ plus 6% tax. $16 plus a 6%. Round to your nearest

Answers

Answer:

For 14 & tax: $14.84

For 16 & tax: $16.96

Step-by-step explanation:

14*0.06 = 0.84, 14 + 0.84 = 14.84

16*0.06 = 0.96, 16 + 0.96 = 16.96

An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$

Answers

Answer:
$713.8

Explanation:
14%of 860 = 120.4

3% of 860 = 25.8

so, subtract the sum of the above 2 values from 860.

860 - (120.4+25.8) = 860-146.2 = 713.8

Hope this helps

Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.

What is percentage?

Percentage is a "number or ratio that can be expressed as a fraction of 100".

According to the question,

An employee earned $860 over the past years. The employee needs to pay 14% for income tax and 3% for state income tax

Find an employee needs to pay in Federal income tax:

[tex]\frac{14}{100}[/tex] × 860 = 120.4

Find an employee need to pay in State income tax:

[tex]\frac{3}{100}[/tex] × 860 = 25.8

In order to find an  employee earn after paying both taxes only if we sum the amount of taxes paid by an employee and subtract from earned amount by past years.

860 - (120.4  + 25.8) =713.8

Hence, Using Percentage, the employee earn after paying Federal income tax and state income tax is $713.8.

Learn more about Percentage here

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Please help me geometry

Answers

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

What’s the value of a?

Answers

Answer:

a = 69

Step-by-step explanation:

The linear pair equals 180 degrees.

a + 90 + 21 = 180

a + 111 = 180

a = 69

nice!

Answer:

A= 69 degrees

Step-by-step explanation:

if all those angles equal a total of 180 degrees then all you need to do is add the angles your given which in this case is 21 and a 90 degree angle which would equal 111 degrees, then subtract 111 from 180 and that would be the answer to the missing angle, which is 69 degrees.

21 + 90 = 111

180- 111 = 69


A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?

Answers

Answer: Area=18324 square feet

Explanation: We need to find the area of the field using the side angle side method, which uses the equation (ab*sin C)/2.
Thus, we have (120*325*sin 70)/2=18324 square feet.

Farmer need 750.5 feet fencing for his triangular field.

What is triangle?

"Triangle is  two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.

Formula used

Cosine rule

As per the diagram,

cosθ = (b² +c² -a²) / 2bc

cos 70° = 0.3420

According to the question,

Let AB = c , AC = b  are given sides of measure 120 feet and 325 feet respectively.

and BC = a

Angle between given sides be θ = 70°

Substitute the value in the formula we get,

cos70° = [ (325)² +(120)² - a²] / 2(120)(325)

⇒ 0.3420 = [ 120025 - a²] / 78000

⇒ 120025 -a² = 26676

⇒ a² = 93349

⇒ a = 305.5

Total fencing required for  triangular field = AB + BC +CA

                                                                      = 120 + 325 + 305.5

                                                                      = 750.5 feet

Hence, farmer need 750.5 feet fencing for his triangular field.

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5x^2-10x=0 written in factored form​

Answers

Answer: 2,x=0
You can use symbolab

Which statement(s) describe perpendicular lines? Choose ALL that apply.

A. Perpendicular lines never meet or cross.

B. Perpendicular lines form a 90 degree angle.

C. Perpendicular lines intersect.

Answers

Perpendicular line never meet so the answer is A
The answer is B & C. Parallel line are the lines that never meet or cross.

Find the slope between the following two points: (-4, 6) (5, 2)​

Answers

Answer:

m=-4/9

Step-by-step explanation:

Hope this helps ❤

Write an equation in point-slope form of the line that passes through the two given
points.
(4,7) and (5, 1)

Answers

Answer:

y-7=-6(x-4)

Step-by-step explanation:

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

m=(1-7)/(5-4)

m=-6/1=-6

y-y1=m(x-x1)

y-7=-6(x-4)

Pls help thanks okay bye

Answers

6+5+10= 22 (ignore this i have to have 20 characters to submit this answer )

Answer:

6 + 5 + 10= 22 is the answer

Step-by-step explanation:

14=-4(-6c-3)+2 find c​

Answers

Answer:

C = 0

Step-by-step explanation:

To find the answer simply, isolate the variable by dividing each side by factors that don't contain the variable to get the value of 'C'

-(5 – 9) - (-2)(2)
how do i solve this?

Answers

Answer:

8

Step-by-step explanation:

-(5 – 9) - (-2)(2)

-(-4) - (-2)(2)

4 - (-4)

4 + 4

8

Use PEMDAS

Answer: The answer is 8

Step-by-step explanation:

The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?

Answers

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

Need help ASAP

which point could represent 5 over 3?​

Answers

Answer:

I think D, I am not sure though

Step-by-step explanation:

Answer:

5/3 is 5÷3 = 1.666666. point C is closest to 1.67.

what is the answer to 7.7w-4.6w

Answers

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

What is 74 in standard form?

Answers

Answer:

seventy four

Step-by-step explanation:

None

7.4 x 10^1

aaaaaaaaaaaaaaaaaaaaaa

PLEASE HURRY TY:)))))):):);););)::):):):):):):):

Answers

ASA. Benebdbdbfbdvfvfvfv
End d f f

A small radio station can broadcast a distance of 16 miles in all directions. A broadcast from the radio station can reach a total area of-?​

Answers

Answer:

Step-by-step explanation:n1g4 a 103837 miles

Which table could NOT represent a function?


input 0 1 2 3 4
output 2 4 6 8 10

input 30 40 50 60 70
output 21 11 -1 -11 -21

input 4 9 14 19 24
output 10 12 14 16 18

input -10 -10 0 0 10
output 8 16 24 32 40

Answers

Answer:

The fourth one

Step-by-step explanation:

Just cause its right

The last one is correct because the x repeats
If the x repeats it’s not a function

The perimeter of a rectangular pool is 72 meters. If the length of the pool is twice its breadth. Its length is_________.

Answers

Answer:

Length = 18 meters

Step-by-step explanation:

Let the length of the rectangular pool = l meters

And breadth of the pool = w meters

Perimeter of the rectangular pool = 2(l + 2w)

Since, perimeter of the rectangular pool is 72 meters.

2(l + 2w) = 72

l + 2w = 36 --------(1)

If length of the pool is twice of its breadth,

l = 2w

w = [tex]\frac{l}{2}[/tex] -------(2)

By substituting the value of 'w' from equation (2) to equation (1),

[tex]l+2\times{\frac{l}{2}}=36[/tex]

2l = 36

l = 18 meters

Find the slope of the line passing through the pair of points.
(-4,5) and (0, 2)

Answers

Answer:

y = 3/-4x + 2

Step-by-step explanation:

Answer:

slope = [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

1) To find the slope between a pair of points, use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line also passes through. We know the line passes through (-4,5) and (0,2). So, substitute their x and y values for the formula (following the appropriate order) and solve:

[tex]\frac{(2)-(5)}{(0)-(-4)} \\= \frac{2-5}{0+4} \\= \frac{-3}{4}[/tex]

Thus, the slope is [tex]-\frac{3}{4}[/tex]

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