Mathematics High School

rationalize the following​

Rationalize The Following

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]

(On Rationalizing )

[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]

[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]

[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]

[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]

[tex] = \sqrt{2} - 1(ans)[/tex]

Related Questions

Find the perimeter and area of the figure.
5 cm
The perimeter of the figure is
centimeters
The area of the figure is
square centimeters.
PS: I got it wrong and I need help :)

Answers

Answer:

The perimeter is 20 cm.

The area is 25 cm^2.

Step-by-step explanation:

The perimeter is the distance around the figure.

This is a square, so each side is the same length.

There are four sides, so

5 + 5 + 5 + 5 = 20 cm

The area of the figure is

s^2

where s is a side

so 5 * 5 = 25 cm^2

What is the GCF of 48&72

Answers

Answer:

24 is GCF

Step-by-step explanation:

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors they have in common: 1, 2, 3, 4, 6, 8, 12, 24

24 is the greatest factor they have in common; therefore, 24 is the greatest common factor, or GCF

How would I solve this problem

Answers

After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is

(70 km/h) t + (80 km/h) t = (150 km/h) t

They are 900 km apart after

(150 km/h) t = 900 km   ===>   t = (900 km) / (150 km/h) = 6 h

Explain the properties of following shapes in detail -
(a) Parallelogram
(b) Trapezium
(c) Rhombus

Satisfied answerer will get thanks and brainliest.​

Answers

Answer:

The Properties of parallelogram are

a) Opposite sides are equal

b) All angles are not 90°

The Properties of trapezium are

a) One pair of opposite side is parallel

b) side of adjacent angle and non parallel side

of trapezium is 180°

The Properties of rhombus are

a) All sides are equal

b) All angles are not 90°

Parallelogram: 4 sides with opposite sides equal and parallel. Opposite angles equal.

Trapezium: 4 sides with one pair of parallel sides.

Rhombus: 4 equal sides.

Yes. A rectangle is a special parallelogram an a square is both a parallelogram and a rhombus.
Both of them are special because the angles are all right angles.

10 +6.1n 8 + 6.3n
What is N

Answers

Answer:

30.4n

Step-by-step explanation:

10+8+6.3n+6.1n

18+12.4n

30.4n

measure of angle JKM if measure of angle JKL = 42° and measure of angle LKM = 28°

Answers

Answer:

80 degrees

Step-by-step explanation:

add both the angles

Is the following rational or irrational?

Square root 16

Square root 12

12/5

0.36274959282619

Answers

Answer:

rational

irrational

rational

rational

Step-by-step explanation:

Square root 16 = 4 rational since it can be written as a fraction of integers

Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational

12/5 rational since it is a fraction of integers

0.36274959282619 rational since it is a terminating decimal

Can you please answer this?

Answers

Step-by-step explanation:

plan a 40dollars

plan b 30 dollars

plan b cost less

Mark me brainliest plsss

A car is traveling at a rate of 54 kilometers per hour. What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 15 minutes? Do not round your answers.

Answers

Answer: 3.6

Step-by-step explanation: What i did was determined how many minutes are in a hour which are 60 minutes. so due to the fact that you're looking for the travel in (15) "minutes" I had to divide 54 by 15. Which gives you 3.6

Find the last three digits of the sum A=11!+12!+13!+...+2006!​

Answers

Answer:

996

Step-by-step explanation:

n = 2006-11+1 = 1996

the sum A = 1996/2 × (11+2006)

= 2,012,996

so, the last 3 digits : 996

Let’s see what happens to the last three digits
11! = ...800
12! = ...600
13! = ...800
14! = ...200
15! = ...000
Every remaining factorial will end in 000
800 + 600 + 800 + 200 = 2400
So the last three digits of 11! + 12! + 13! + ... + 2006! are 400

of
Use>,<, or = to solve the
inequality below
4/1___5/2

Answers

Answer:

4/1>5/2 because

when solved 4>2.5

2/3 divided by 1 3/7

Answers

Answer:0.46

Step-by-step explanation:

Need help with these 3

Answers

Answer For Number 4: The distance between the two points is five.

Step-by-step explanation:

First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.

Work out the value of (312 ÷ 35) ÷ (32 × 3)

Answers

Answer:

[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]

PQ is an example of what?

Answers

Answer:

PQ=

Step-by-step explanation:

Performance Qualification

(regarding business or acquiring a job)

3x-2=9x+10-6x

I need help ASAP pls

Answers

Answer:

[ no solution ]

Step-by-step explanation:

[tex]3x - 2 = 9x + 10 - 6x[/tex]

group x terms together and constants together:

[tex]3x - 9x + 6x = 10 + 2[/tex]

factorise out x on the left hand side :

[tex] x(3 - 9 + 6) = 12 \\ x(0) = 12[/tex]

since coefficient of x is 0, there is no solution.

Simplify by using the law of exponent (3/7)2 * (3/7)

Answers

Answer:

7^3 or 343

Step-by-step explanation:

2*3=6

7×7×7×7×7×7=117649

7^3=7×7×7=343

117649/343=343 or 7^3

need help on #4 !!!!

Answers

Step-by-step explanation:

What other numbers are of this form have exactly four factors?

8 = 2³ has 4 factors 1, 2, 2², 2³

For any prime p, p³ has 4 factors 1, p, p², p³

Do all the perfect cubes have exactly four factors?

If p is not prime, then it is not true anymor

For instance, 8³ has more than 4 factors 1, 2², 2³,:

Is it true that all numbers that have exactly four factors are perfect cubes?

6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.

pls I need clear workings.
(A.)evaluate without tables

1.)3log2+log20-log1.6

2.)log√2/log9

3.)log0.2/log25

4.)if logx-log(2x-1)=1,find x?​

Answers

Answer:

1)2.602

3)-2.007

4)x=10/19

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask question,I'll answer it

In a three-person tug-of-war, three ropes are tied at a point. Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, and Levi is pulling the third rope. The knot in the middle is not moving. What is the magnitude of Levi's effort?
A) 34.7 Newtons
B) 55.3 Newtons
C) 550 Newtons
D) 790.6 Newtons​

Answers

Answer:

Its D) 790.6

Step-by-step explanation:

All I can say is that I aced the test so.

The answer to the question what is the magnitude of Levi's effort is D 790.6 N

Since Gary is pulling due East with a force of 650 Newtons, June is pulling due North with a force of 450 Newtons, the force due to Levi will be equal to the resultant force from Gary and June.

Since both Gary and June pull due East and due North respectively and these directions are perpendicular to each other, their resultant force is

R = √[(650 N)² + (450 N)²]

R = √[422500 N² + 202500 N²]

R = √[625000 N²]

R = 790.57 N

R ≅ 790.6 N

Since the resultant force due to Gary and June is 790.6 N, this is equal to the magnitude of Levi's effort since the knot does not move.

So, the magnitude of Levi's effort is 790.6 N

So, the answer to the question what is the magnitude of Levi's effort is D 790.6 N

Learn more about magnitude of resultant force here:

https://brainly.com/question/21444383

how many students are good in mathematics only and how many students are not good in any of the three courses

Answers

Answer:

do you have a graph to go along with this?

Which fraction on number lin is equal to 3

Answers

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $2000?
A. 90
B. 80
C. 100

Answers

Answer:

100

Step-by-step explanation:

if the pattern continues it looks like the equation f(x)=10x+1000 so you would need 100 hours to make 2000 dollars

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

Hi, I need help on the question that is listed on the photograph below: Thanks In Advance!

Answers

Answer:

first ma 8x+4y and bic ma 6x +5y last ma -2x+y

PLEASE HELP I WILL GIVE YOU A BRAINLY AND ALOT OF POINTS I HAVE A VERY LIMITED AMOUNT OF TIME PLSS

Answers

3x

x+3

x-3

x/3

x³

3^x (write the x small and above the 3 the same way as the 3 is written with the x above)

Answer:

3xx + 33 - x3/xx^33^x

Step-by-step explanation:

2)

product means multiply 3*xSum means add x + 3Difference between means subtract. The first number is written first 3-xQuotient means divide 3/x. The first number is the numerator.Third power means x raised to the 3     x^3the xth power means 3^x

what is the fraction 3/5 written as a Percent

A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

percent means out of 100

3/5 * 20/20

60/100

60 %

Answer:

C. 60%

Step-by-step explanation:

I need help on what to do I would gladly appreciate if you can help

Answers

Answer:

9.89 or 7 radical 2

Step-by-step explanation:

Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?

Answers

Answer:

(01.07) Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (1 point) Divide both sides by 6 and then add 2. The solution is x = 8. Subtract 6 from both sides and then divide by 2. The solution is x = 8.

mark me a brainlist

Answer:

2x-6=22

2x=22+6

2x=28

x=28/2

x=14

Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4​

Answers

I think the answer to this question is (c)
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