Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.​

Answers

Answer 1

Answer:

(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23

Answer 2
(2+√3)(2-√3)(5+ √2)
(5-√2)=(2^2-√3^2)(5^2-√2^2)=(4-3)(25-2)=23 and 23 is rational number

Related Questions

A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30 mph, how fast would the plane be going without air helping/hurting?​

Answers

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex]    [Time = distance / speed]

From (i) and (ii), we get

[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]

Hence, the speed of the plane = 240 mph.

FOR BRAINLIST!! and points

Answers

Answer:

A

Step-by-step explanation:

The answer is A. The initial weight is known so it can’t be mutipliy with a variable. We don’t know how many weeks he will lose weight, but we know that the goal is 228 and that he had planned to lose 2 pounds per week

so 2 multiply the weeks, the variable

Please help meeeee I’m desperate

Answers

Answer: I believe the Big B is 169 and the perimeter is 52

Step-by-step explanation:

Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?​

Answers

Answer:

The loss is $120 and the loss percentage is 8%.

Step-by-step explanation:

Given that,

SP of a car = $1,380

CP of a car = $1,500

As CP > SP, it means there is a loss in selling of that car.

Loss = CP - SP

= $1,500 - $1,380

= $120

Loss percentage,

[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]

Hence, the loss is $120 and the loss percentage is 8%.

Tim spent $8.16 on 12 pounds
of Sweet-smarts. How much is one
pound of Sweet-smarts?

Answers

Answer:

1.47058823529

Step-by-step explanation:

Round if needed

Answer:

Tim is gonna get diabetes >:(

Step-by-step explanation:

but your answer is .68 cents lol

What is sin49° to the nearst tenth

Answers

Answer:

The sin of 49 degrees is 0.75471.

Step-by-step explanation:

To obtain 49 degrees in radian multiply 49° by  pi/ 180° = 49/180pi. Sin 49degrees = sin (49/180 × pi) .

plz help meeeeeeeeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

Answer:
A


Step-by-step explanation:

Pls help with this question pls and thx!

Answers

ANSWERS:

4a= 25/6 or 4.16 and 6 is repeating or 4 1/6

4b= 26

5a= 39.556

5b= 5.4


WHY:

4a= simplify

4b= divide the first expression by the second expression

5a= multiply

5b= divide


MARK ME BRAINLIEST PLEASE

I need help with other question b, with explanation please

Answers

Answer:

[tex]96 - 14[/tex]

Step-by-step explanation:

Given

[tex]Digits: 6\ 1\ 9\ 4[/tex]

Required

Fill in the blanks to get the largest subtraction

The largest subtraction is the difference between the highest possible value and the least possible value.

From the 4 given digits.

We have:

[tex]Highest = 96[/tex]

[tex]Least = 14[/tex]

So, the blanks become:

[tex]96 - 14[/tex]

And the difference is:

[tex]82[/tex] --- possible largest

The quotient of a numberpo, and five
Please help

Answers

Answer:

x over 5 or x divided by 5

Step-by-step explanation:

x over 5 : [tex]\frac{x}{5}[/tex]

x divided by 5 : x ÷ 5

A line that passes through the point (-4,6) with a slope of 2. The equation of that line in slope is y=......... X+?

Answers

Answer:

y=2x-2

Step-by-step explanation:

Zoe drove 55 miles in 11/12​ hours. On average, how fast did she drive, in miles per hour?

Answers

Answer:

60

Step-by-step explanation:

So, first we need to divide the miles(55) by the time(11).

This should look like:

55/11

=

5

This should get you 5. Now lets multiply the 5 by the total time(12).

This should now look like:

5x12

=

60

This should get you 60. This is the answer.

If you want to solve more of these, here is a step-by-step:

Divide the value by the first time.Take the new value.Multiply it by the second time.This is your answer

Lets try another example:

Bob the builder made a 5 story building in 8 hours. How many stories on a building can Bob make in 24 hours?

Lets start with step 1. Divide the 5(value) by the 8(first time).

You should get 5/8 which is a bit of a strange number:

0.625

Now lets do step 2. Take the new 0.625 value.

Now to step 3. Lets multiply that value by the 24(second time)

This should get you 0.625x24:

This will get you 15

So your answer IN THE EXAMPLE I MADE is:

15 stories

Hope this make sense and helps you with your math ;)

What is the measure of angle x

Answers

Answer: 95



Proof:
35+50=85 180-85=[95]

I WILL MARK BRAINLIEST! NO LINKS OR IMAGES.

Conducting a survey best fits which step of the statistical process?

Form a question that can be answered by data.
Design and implement a plan that collects data.
Analyze the data using graphical and numerical methods.
Interpret and compare the data.

Answers

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Looking at the answer choices, we can use the process of elimination:

1) Form a question that can be answered by data.

2) Design and implement a plan that collects data.

3) Analyze the data using graphical and numerical methods.

4) Interpret and compare the data.

1) The question is most likely already formed, as a survey cannot be conducted without a question or objective. Not 1.

2) A survey collects data.

3) This happens after the collection of data, or the survey. Not 3.

4) This also happens after the collection of data, or the survey. Not 4.

2. Designer Dolls, Inc. found that the number N of dolls sold varies directly with their
advertising budget A and inversely with the price P of each doll. The company sold 5400 dolls
when $20,000 was spent on advertising and the price of a doll was set at $50. Determine the
number of dolls sold when the amount spent on advertising is increased to $52,000. Round to
the nearest whole number
A. 14,040 dolls
C. 2,782 dolls
B. 1,070 dolls
D. 5.400 dolls

Answers

Answer:

c

Step-by-step explanation:

just is

Please help asap will give brainliest

Answers

Answer:

I cant see the choices

Step-by-step explanation:

Sherrie just registered for her wedding. So far 6 items have been purchased from her list. Find the MEAN price of the purchased items.

$29, $58, $15, $129, $75, $22

**Round to the nearest tenths EX. 18.6**

Answers

Answer:

54.6

Step-by-step explanation:

29+58+15+129+75+22= 328

328÷6= 54.6666666667

round to the nearest tenth= 54.6

Will mark brainliest :) Given vectors u = -9i + 8j and v = 7i + 5j find 2u -6j in terms of unit vectors i and j
(answer choices below vv)

Answers

Answer:

the answer is option number b..

Need help please and thank you have a nice day

Answers

Answer:

106 is the correct answer

Mrs. Stancil is planning to use
wrapping paper to cover a gift box that is the
shape of a rectangular prism with dimensions of
3ft by 4ft by 5ft. If the wrapping paper costs
S0.05 per square foot, how much will it cost?

Answers

Answer:

4.70

Step-by-step explanation:

there are 6 sides on a box

2 sides are 12 square feet (3*4), 2 sides are 15 square ft (3*5), and 2 sides are 20 square ft (4*5)

12*2+15*2+20*2=24+30+40=94 square feet

if each square foot costs $0.05 (I think that's what it says) then you would do 94*0.05= $4.70

so, your answer is $4.70

Not sure if this is right, but I tried

angela is seeking a venue for her school’s athletic council banquet.Primo Banquet Hall charges $2000 plus $50 per person.The Lookout Banquet Hall charges $1500 plus $75 per person.
a)write an equation to represent each banquet hall
b)when do both halls charge the same amount
c)which hall should angela choose?explain indicating intervals

Answers

I think answer is B...

If AB = 10 and m_A = 20° , find AC . Round to the nearest tenth.

Answers

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693

Please can someone help me. It’s not 26, please find X

Answers

I found your exact problem online, I would ask your teacher why the answer is not 26

HELPPP PLEASE HELP A GIRL OUT

Answers

Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

16ft by 24ft what is the are?

Answers

I’m assuming you’re talking about area...

16ft x 24ft = 384ft

Help me please! :Will give brainliest!:

Answers

Answer:

Step-by-step explanation:

Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!

Answer:

B, 2 5/6 x 2 5/6

Step-by-step explanation:

This is the only answer that is greater than 2 5/6

Solve for the following by
FACTORING:
x2 + 11x + 28 = 0

Answers

Step-by-step explanation:

(x+7)(x+4)

x = -4 and -7

have a nice night

Answer:

Alternate forms:

(x + 4) (x + 7) = 0

(x + 11/2)^2 - 9/4 = 0

Solutions:

x = -7

x = -4

Step-by-step explanation:

HOPE THIS HELPSSS

What is the value of C in the matrix equation below

Answers

I cannot see the equation

5. Carlotta's Beauty Supply store sells two brands of bar soap. A 6 pack of Brand A costs
$6.78 and an 8 pack of Brand B costs $8.40. What brand is the better buy?

Answers

I think it would be be because you’re actually saving a little bit more amount of money you’re paying a dollar and would say two cent for each bar


[tex]8 \div \frac{2}{3} [/tex]
I need this is an improper fraction​

Answers

Answer:

you could just do 12/1 or let 8 turn into 24/3

Step-by-step explanation:

on step 1 we should do reciprocal

on step 2 we should multiply

on third step 3 we should divide

so the answer is 12

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