rationalize the following​

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

Answer: Area= 1400[tex]meter^{2}[/tex]

Step-by-step explanation:

ok  so  we can assume the

breadth=X

so, length = X+5 (because the length is 5 meters more than the breadth)

perimeter= 150 meters

the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)

so now if we put the values,

2 * ( X+5 +X) = 150 ( because 150 is the perimeter)

2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).

now we multiply  2 with both sides

so ( 2 * 2X) + (2 * 5)

hence, 4X + 10 = 150

now we will solve the equation,

4X= 150 -10 (because we did transposal the signs will change from "+" to "-")

4x= 140

again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing

so now,

X= 140÷4

which is equal to 35

so finally X = 35

so as we have written in the beginning breadth= X

and LENGTH= X+5

so now we have found X

BREADTH= 35

LENGTH= 40 (because 35+5 is 40)

now we have to find area the formula for finding the area is LENGTH×BREADTH

so, 40 × 35 = 1400

now we put the unit which is square meters also known as [tex]m^{2}[/tex]

so there is your final answer 1400[tex]m^{2}[/tex]

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Answer:

6 is the answer. Hope this helps you! Stay blessed .

Answer:

Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

Answer:

See below

Step-by-step explanation:

22. 30 = 2 * 3 * 5

23. 126 = 2 * 3 * 3 * 7

24. 4900 = 2 * 2 * 5 * 5 * 7 * 7

25. 39204 = 2 * 2 * 3 * 3 * 3 * 3 * 11 * 11

26. There's no square number

27. The highest common factor are

   30 is 5

   126 is 7

  4900 is 7

 39204 is 11

28. The lowest common factor are

 30 is 2

 126 is 2

 4900 is 2

 39204 is 2

What about you? What did you get?

Answer:

Step-by-step explanation:

A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100

It will be 10 square root dates.

Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

Answer:

-213

Step-by-step explanation:

=3|x+y|²-(xy)²

Subtitute value of x and y above:

=3(|3+-5|)²-(3×-5)²

=3(|-2|)²-(-15)²

=3(2)²-(225)

=3(4)-225

=12-225

=-213

Note: If you need to ask question,I'll gladly give you answee.Thanks

Answer:

4.5

Step-by-step explanation:

find the difference,square them,add and find the square root

-1-1=-2

4-(-1)=4

2^2+4^2=4+16

=20

square root of 20=4.5(2dp)

Answer:

The correct choice is option B. -7 ≤ x < 12

Step-by-step explanation:

Answer:

8.24 is not a rational number

Step-by-step explanation:

The simple way to remember or find if the number is rational or not is that

* Rational numbers are always in the form of p/q and q should not be equal to zero

here u can even see 8.24 can be written as 8.24/0 so it is clearly showing that it is not a rational number

Answer:

x^2 + 2xy + y^2 - m^2

= (x+y)^2-m^2

Answer:

the large numbers are

125,100,234,450,650,550

I hope u will be able to make it in an exponents form if u can not feel free to ask me

the small numbers are

10,20,30,40,50

Have a happy day ahead

Answer:

∠ABC measures 85° and ∠DEF measures 95°.

Step-by-step explanation:

We are given that ∠ABC and ∠DEF are supplementary. Then by definition:

[tex]\displaystyle m\angle ABC + m\angle DE F = 180^\circ[/tex]

Substitute:

[tex]\displaystyle \left(9x+4\right) + \left(13x-22\right) = 180[/tex]

Solve for x. Combine like terms:

[tex]22x -18 = 180[/tex]

Add:

[tex]\displaystyle 22x = 198[/tex]

And divide. Hence:

[tex]\displaystyle x = 9[/tex]

To find the measure of ∠ABC, substitute and evaluate:

[tex]\displaystyle \begin{aligned}m\angle ABC &= 9x + 4 \\ &= 9(9) + 4 \\ &= 81 + 4 \\ &= 85^\circ \end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}m\ngle DE F &= 13x - 22 \\ &= 13(9) - 22 \\ &= 117-22 \\&= 95^\circ \end{aligned}[/tex]

In conclusion, ∠ABC measures 85° and ∠DEF measures 95°.

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

Answer:

Cost = $1 + $0.41x

Step-by-step explanation

Answer:

x < 4

Step-by-step explanation:

2x+1<9

Subtract 1 from each side

2x+1-1<9-1

2x< 8

Divide by 2

2x/2 <8/2

x < 4

Answer:

0.0012*​x*​0.46

Step-by-step explanation:

Answer:

A. 2+6+10+14+18+22+26+30+34+38

B. 6+18+54+162+486+1458+4374+13122+39366+118098

Step-by-step explanation:

I. In A. you can see 2 is plus by 4 = 6

                                6 is plus by 4 = 10

                                ... is plus by 4 ...

So the term was plus by 4

II. In B. you can see 6 is multiply by 3 = 18

                                18 is multiply by 3 = 54

                                 ... is multiply by 3 ...

So the term was multiply by 3

Leave comment if you're curious.

Answer:

Answer: k - 16

Step-by-step explanation:

If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.

K - 16

Answer:

2x+x+2=5x-10

3x+2=5x-10

-3x -3x

2=2x-10

+10 +10

12=2x

2x/2=x 12/2=6

x=6

QR=x+2

6+2=8

QR=8

The value of x is 6 and the value of QR will be 8 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the value of x and QR if Q is between P and R.

PQ=2x

QR=x + 2

PR= 5x -10

The value of x will be calculated as below:-

2x+x+2=5x-10

3x+2=5x-10

2=2x-10

12=2x

x = 12 / 2

x =6

The value of QR will be calculated as below:-

QR=x+2

6+2=8

Therefore, the value of x is 6 and the value of QR will be 8 units.

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

Answer:

8cm

Explanation:

If the 16 cm is the diameter then the radius is 8 cm

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Place 45

∘

set-square and make an angle of 45

∘

by drawing the rays BD and BC

Answer:

Answer: 49/6units^{2}49/6units

2

Step-by-step explanation:

You can convert from mixed number to fractions as following:

2 1/3=((2*3)+1)/3=7/3 units

3 1/2=((3*2)+1)/2=7/2 units

Then you can calculate the area of the rectangle as you can see below:

\begin{gathered}Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}\end{gathered}

Area=lenght∗width

Area=7/2units∗7/3units

Area=49/6units

2

Answer:

[tex]10\frac{1}{8}[/tex]

Step-by-step explanation:

→ Multiply the fractions together

[tex]4\frac{1}{2} *2\frac{1}{4}[/tex]

→ Convert to improper fractions

[tex]\frac{9}{2} *\frac{9}{4}[/tex]

→ Multiply across

[tex]\frac{81}{8}[/tex]

→ Convert back to mixed number

[tex]10\frac{1}{8}[/tex]