rationalise the denominator 20 over root 2

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{20}{\sqrt{2} }[/tex]

To rationalise the denominator multiply the numerator and denominator by [tex]\sqrt{2}[/tex], that is

[tex]\frac{20(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }[/tex]

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

= 10[tex]\sqrt{2}[/tex]


Related Questions

What is the value of D(12)

Answers

Answer:

If  the question is looking for an absolute value  then the answer is 12.

Absolute value |-a|  = a.

"the quotient of a number and 4"

Answers

4 times X is the answer

You ride the train to an after-school job every weekday. The ticket for the trip from school to work costs $3. The ticket for the trip from work back home costs d dollars. How much do you spend on train tickets each day? How much do you spend in a 5-day week?

Answers

Answer:

each day= 3+d

each 5-day week= 15+5d

Step-by-step explanation:

HELP!!! NEED RATIO! A TON OF POINTS!

Answers

The length of CD IS 3 and AC IS 8 hope this helps

Answer:

yes

Step-by-step explanation:

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.

Answers

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour

Answers

The answer to your question is, The pool dropped 1.38/16 inches per hour.

Please help! Select the graph of the solution. 2x - 1 > 5

Answers

Answer:

See photo below

Step-by-step explanation:

First, start solving it. Add 1 to each side, so it now looks like this: 2x > 6Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x > 3Now, look at your options and pick the graph that fits the solved equation. The last option matches the solved equation exactly, so that's the answer.

I hope this helps!

x>3
add 1 to both sides than divide by 2 and you get x is greater than 3
your graph would be open circle on the 3 going right

Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.

Answers

Answer:

I belive, it is A I'm not sure

Step-by-step explanation:

The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?

Answers

Answer:

11 7/10 miles below sea level

Step-by-step explanation:

Given the following :

Peak of Mount everest = 5 1/2 miles above sea level

Bottom of Mariana trench = 6 9/10 miles below sea level

If mount everest is placed at the bottom of Mariana trench

. It's be will be :

Since sea level could be considered as a 0 point;

Adding the height and depth of both should give us the depth below sea level:

(6 9/10 + 5 1/2) miles

6 + 5 (9/10 + 1/2)

11 (9 + 5)/10

11 14/10

11 7/10

= 11 7/10 miles below sea level

what is the value of the 2 in 0.812

Answers

Answer:

the two is in the thousandths place

Step-by-step explanation:

the eight is in the tenths, and the one is in the hundredths

Answer:

.8 tenths

.01 hundredths

.002 thousandths

so the value of 2 would be 2 thousandths or .002 thousandths

What is the area of triangle abc? Pls explain thoroughly.

Answers

Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

Billy walked 52 miles in 3 days how many miles could he walk in 10 days?

Answers

Answer:

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

Step-by-step explanation:

To solve this problem let us use the ratio method

∵ Billy walked 52 miles in 3 days

∵ We need to find how many miles could he walk in 10 days

→ Use the ratio method

→ Miles  →  Days

→  52     →   3

→   x       →   10

→ x is the number of miles

→ By using cross multiplication

x × 3 = 52 × 10

∴ 3x = 520

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{520}{3}[/tex]

x = 173 [tex]\frac{1}{3}[/tex] miles

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?

Answers

Answer:

addition

Step-by-step explanation:

add 40+8 and you get 48 :P

ASAP PLEASE ANSWERRR find the value of x. 3x+34=16 ​

Answers

Answer:

-6

Step-by-step explanation:

subtract 3 from both sides and that leaves 3x=-18

then divide 3 by -18 and that equals -6

Answer:

x= -6

Step-by-step explanation:

Step 1: Subtract 34 from both sides.

3x+34−34=16−34

3x=−18

Step 2: Divide both sides by 3.

3x /3  =  −18 /3

x=−6

Need help, will mark brainliest plus 50 points.

Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?

Answers

Answer:

Step-by-step explanation:

To write the inequality, we need to first caculate the amount of money that Lia would ACTUALLY earn each week and compare that to her goal of $600.

We cannot actually get the amount of money that Lia would get because we don't know her sales so we will represent the sales with a X.

450+ X(5%).  -This the amount of money she would egt from her sales. We need to also figure out 5% of 450 to solve the next part of the equation. That is $22.5. 600-450=150/22.5= 6.6666- which is about 7 sales.

Find the product of-10/5 x (-15/5)

Answers

Answer:

6

Step-by-step explanation:use math- way it will help you in future

Answer:

6

Step-by-step explanation:

Equation: [tex]-\frac{10}{5}\cdot -\frac{15}{5}[/tex]

1). Apply [tex]-a(-b)-ab[/tex]: [tex]-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}[/tex]

2). [tex]\frac{10}{5}[/tex] simplfies to 2, so [tex]2\cdot \frac{15}{5}[/tex]

3). [tex]2\cdot 3[/tex]

Mr. Townsend bought five hot dogs for his family from the concession stand. Each hot dog cost
$
1.75
. How much change will he get back if he gives the cashier
$
10
? Show your work, including labeling your answer with the appropriate units of measure.

Answers

Answer:

1.25

Step-by-step explanation:

so you multiply 1.75 by 5 which is 8.25. You subract 10 by 8.25

Jackie is diving 25.65 feet below sea level and then dives down another 16.5 feet. Then he rose 12.45 feet. What is Jackie’s new depth?

Answers

Answer:

-29.7

Step-by-step explanation:

Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.

0-25.65= -25.65

-25.65-16.5= -42.15

-42.15+ 12.45= -29.7

OR 29.7 feet below sea level.

Pleaseee helppp meee question 2 !!!

Answers

just plot it in the graph
start by taking a coordinate in the xy table like 1,3 and find 1 on the x axis and 3 on the y and find where they cross and draw a point

Solve for j.

20 − 17j = –18j

j =

Answers

Answer:

[tex]\boxed {j = -20}[/tex]

Step-by-step explanation:

-Solve for the value of [tex]j[/tex]:

[tex]20 - 17j = -18j[/tex]

-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:

[tex]20 - 17j + 18j = -18j + 18j[/tex]

[tex]20 + j = 0[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]20 - 20 + j = 0 -20[/tex]

[tex]\boxed {j = -20}[/tex]

So, the value of [tex]j[/tex] is [tex]-20[/tex].

15. Find the value of x.
(7x-1)
(6x - 1)
X =

Answers

Answer:

the answer is -1

Step-by-step explanation:

Answer: x = 0

Step-by-step explanation: Firstly, set them equal to each other.

7x - 1 = 6x - 1

Now, subtract 6x from both sides:

x - 1 = -1

Add 1 to both sides:

x = 0

And if you need to know what type of function it is, it is an infinite function because if you plug in 0:

7(0) - 1 = 6(0) - 1

You get:

-1 = -1

If both sides are the same, it is an infinite function.

Hope this helps!

What is 1.2 simplified

Answers

Answer:

it is 1 2/10 but simplified to 1 1/5

Step-by-step explanation:

Write an equation to represent the following statement.
j is 14 less than 22
Solve for J

Answers

Step-by-step explanation:

22-14=8 so J=8

alex is working to simplify 5·(-8)·2


A. what is the product?

B. suppose Alex found the opposite of the correct product. describe an error he could have made that resulted in that product.

please answer quickly!!!!!!!!!!!!

Answers

Answer:

A. 5*(-8)*2=-80

B. Forgot about the signs

Step-by-step explanation:

Product of Signed Integers

The product of two integers with like (same) signs is positive. The product of two integers with different signs is negative.

A.

Alex is simplifying the product 5*(-8)*2. It can be done in any order, for example, let's multiply 5*(-8) first.

The numbers have different signs, so the product is negative and 8*5 =40, thus:  5*(-8)=-40.

Now we finish the operation multiplying (-40)*2. They have different signs, thus the result is negative and (-40)*2=-80, thus:

5*(-8)*2=-80

B.

If Alex found the opposite of the correct product, that is, 80 is more likely to have been the result of forgetting about the signs. He probably just multiplied the numbers regardless of their signs.

In one month, the median home price in the west fell from $203,400 to $192,300. Find the percent decrease

Answers

around 5.4572271...% decrease
(i’m not sure what to round it to)

subtract 192,300 from 203,400 to find the amount of change
(= 11,100)

then divide that amount from the original price (203,400)

then multiply that number by 100 to get a percent

finally round to a reasonable percent
203,400-192,300=11,100
11,100/203400= 5.46%
It decreased by 5.46%

The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.

Answers

Step-by-step explanation:

Given

cost of ticket=$60

a. the cost of x tickets is

C(x)=60x

b. sale tax of 5.5% of $60 is 5.5/100*60

   0.55*60=$3.3

processing fee = $8

the total cost T(a) for a dollars spent on tickets.

T(a)=60a+3.3+8

T(a)=60a+11.3

c. Find (T ∘ C)(x).

T(x)=60x+11.3

d. Find (T ∘ C)(6)

T(6)=60*6+11.3

T(6)=360+11.3

T(6)=$371.3

This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

ur answer is.. 90 degree

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.

Which best describes the transformation?

would be a R0, 90 degree  

i jst took the quiz....

Answer:

90 degrees

Step-by-step explanation:

A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?

Answers

Answer:

3x + 4y = 16

x = 8

y = -2

Hope this helps! Please mark Brainliest!

What are all the like terms of 5x

Answers

Answer:

a number times 5

Step-by-step explanation:

What is the equation of this line?
y= 4/5x-3
y=5/4x-3
y=4/5x+3
y=-4/5x-3

Answers

Answer:

the answer is y=4/5x-3

The equation of the line shown in the graph would be, [tex]y = \dfrac{4}{5} x - 3[/tex]

Hence, option 1 is true.

Given that;

Two points on the line are (5, 1) and (0, -3).

Used the concpet of the equation of the line,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, [tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now,

Since, The equation of line passes through the points (5, 1) and (0, -3)..

So, We need to find the slope of the line.

Hence, the slope of the line is,

[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

[tex]m = \dfrac{(- 3 - 1)}{(0 - 5)}[/tex]

[tex]m = \dfrac{(- 4)}{( - 5)}[/tex]

[tex]m = \dfrac{(4)}{( 5)}[/tex]

Thus, The equation of the line with slope 4/5 is,

[tex]y - 1 = \dfrac{4}{5} (x - 5)[/tex]

[tex]y - 1 = \dfrac{4}{5} x - 4[/tex]

[tex]y = \dfrac{4}{5} x - 4 + 1[/tex]

[tex]y = \dfrac{4}{5} x - 3[/tex]

Therefore, The equation of the line will be;

1) [tex]y = \dfrac{4}{5} x - 3[/tex]

So, option 1 is true.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

Other Questions
use the slope to determine if lines AB and CD are parallel, perpendicular, or neither. (please help asap!!) What are natural rights?A)agreements among people relating to their governmentB)freedoms people possess relating to life, liberty, and propertyC)ideas about freedom that were first discussed in the American coloniesD)Rights reserved only for monarchs what is anatomical position The original amount borrowed is called the A.principal B.TimeC.interestD.rate The French and Indian Wars were directly related to wars in Europe. True False 58 Questions Remainingers -How would the person that you most recently reported to rate your problem solving skills?leExcellentVery good64pgationAveragevai...Below averagetoryPoork Hi...ContinueoryCheck Work out the size of angle x What role did the Colonists play in the French and Indian War? What did Britaingain from its victory? Three different companies each purchased trucks on January 1, Year 1, for $72,000. Each truck was expected to last four years or 200,000 miles. Salvage value was estimated to be $7,000. All three trucks were driven 67,000 miles in Year 1, 42,000 miles in Year 2, 40,000 miles in Year 3, and 62,000 miles in Year 4. Each of the three companies earned $61,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation. Answer each of the following questions. Ignore the effects of income taxes. Required: a. Calculate the net income for Year 1. b. Which company will report the highest amount of net income for Year 1 DO you know the answer ? help me out if you can How many times greater is 5.6 x 10^6 than 1.4 x 10^2 What is the image of (8,-5) after a reflection over the line y = -x? 3. What kind of reaction did Abby's voyage cause?A Other teenaged girls around the world followed in Abby's footsteps.B Critics debated the wisdom of a young sailor making such a dangerous trip.C Many sailing experts praised Abby's parents for letting her go on the voyage.D Abby was universally acclaimed as a hero.(Can you please hurry If the FDIC charges Bank D 6.1 cents per 100 dollars insured, how much must Bank D pay to insure $7.3 million indeposits?a. $4,4530,000b. $445,300C. $4,453d. $445.30 In what country do almost all Middle Eastern Jews live? You come home after school to find a scene of great confusion in your kitchen. Look at the picture, then describe what you see by filling in the blanks in the sentences below with the appropriate words to indicate location. Paquito est ___________Symbols del escritorio. The graph of the linear equation 3x + 5y = 15 cuts the x-axis at the point ________. What value of x is in the solution set of 3(x-4) 5x + 2?1) -102) 53) 54) 10 I need 5 sentences on the History of Costa Rica!!!!!!!!!!!!!!!!!!!!!!!!! Aubrey is looking to purchase sons for her phone. Plan A will cost $2.00 per song. Plan B will require a $15 joining fee and $1.49 per song. When will Plan A be a less expensive option for Aubrey? When will Plan B be a less expensive option for Aubrey? (SHOW ALL WORK BY TYPING HERE). * 3 points