Find the area of the regular pentagon

Answer:-12

Step-by-step explanation:

subtract the 2 and 3 and you got your answer.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given integral is

[tex]\rm :\longmapsto\:\displaystyle\int\rm \frac{ {x}^{e - 1} + {e}^{x - 1} }{ {x}^{e} + {e}^{x} } \: dx[/tex]

To evaluate this integral, we use Method of Substitution.

So, Substitute

[tex]\rm :\longmapsto\: {x}^{e} + {e}^{x} = y[/tex]

[tex]\rm :\longmapsto\: \dfrac{d}{dx}({x}^{e} + {e}^{x}) = \dfrac{d}{dx}y[/tex]

[tex]\rm :\longmapsto\: {ex}^{e - 1} + {e}^{x} = \dfrac{dy}{dx}[/tex]

[tex]\rm :\longmapsto\:e( {x}^{e - 1} + {e}^{x - 1}) = \dfrac{dy}{dx}[/tex]

[tex]\rm :\longmapsto\:({x}^{e - 1} + {e}^{x - 1})dx = \dfrac{dy}{e}[/tex]

So, on substituting all these values in above integral, we get

[tex]\rm \:  =  \: \displaystyle\int\rm \frac{dy}{e \: y} [/tex]

[tex]\rm \:  =  \:\dfrac{1}{e} \displaystyle\int\rm \frac{dy}{ y} [/tex]

[tex]\rm \:  =  \:\dfrac{1}{e}log |y| + c[/tex]

[tex]\rm \:  =  \:\dfrac{1}{e}log \bigg| {x}^{e} + {e}^{x} \bigg| + c[/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \displaystyle\int\rm \frac{ {x}^{e - 1} + {e}^{x - 1} }{ {x}^{e} + {e}^{x} } \: dx = \frac{1}{e}log \bigg| {x}^{e} + {e}^{x}\bigg| + c}}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

LEARN MORE :-

[tex]\begin{gathered}\begin{gathered}\boxed{\begin{array}{c|c} \bf f(x) & \bf \displaystyle \int \rm \:f(x) \: dx\\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf k & \sf kx + c \\ \\ \sf sinx & \sf - \: cosx+ c \\ \\ \sf cosx & \sf \: sinx + c\\ \\ \sf {sec}^{2} x & \sf tanx + c\\ \\ \sf {cosec}^{2}x & \sf - cotx+ c \\ \\ \sf secx \: tanx & \sf secx + c\\ \\ \sf cosecx \: cotx& \sf - \: cosecx + c\\ \\ \sf tanx & \sf logsecx + c\\ \\ \sf \dfrac{1}{x} & \sf logx+ c\\ \\ \sf {e}^{x} & \sf {e}^{x} + c\end{array}} \\ \end{gathered}\end{gathered}[/tex]

Answer:

5/8

Step-by-step explanation:

1/4 (2/2)=2/8

3/8 (already simplified)

2/8+3/8=5/8

Answer:

x = 12.2;  angles are 77.6 and 102.4 total to 180

Step-by-step explanation:

The equations they are giving you for the two angles he was correct about.  When a line intersects two parallel lines, the angles on the opposite sides of the transverse line will equal 180 degrees.

So those two equations when added together must equal 180 degrees.

(5x + 16.6) + (9x - 7.4) = 180

Rearrange the equation

5x + 9x + 16.6 - 7.4 = 180

Add the x values together and subtract the regular numbers

14x + 9.2 = 180

Subtract 9.2 from both sides

14x = 170.8

Divide both sides by 14

x=12.2

The top angle in your drawing is 5x + 16.6  or

5 ( 12.2) + 16.6 = 77.6 degrees

The bottom angle in your drawing is 9x - 7.4 or

9 ( 12.2) - 7.4  = 102.4

Both angles added together is 77.6 + 102.4 = 180

Answer:

×=25 ; angle = 107 degree

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

3x+32+x+48=1803x+32+x+48=180

4x+80=1804x+80=180

4x=180-804x=180−80

4x=1004x=100

x=25x=25

The value of x is 25.

The measure of two consecutive exterior angles are

3x+32=3(25)+32=1073x+32=3(25)+32=107

x+48=25+48=73x+48=25+48=73

The measure of the larger angle is 107 degrees.

Answer:

the desired element lies in the 3rd row and 1st column, and is 25.

Step-by-step explanation:

We are given a 3 by 3 matrix:  There are 3 rows and 3 columns.

The symbol a       represents the element of this matrix that lines in row m and column 1.  Thus, the desired element lies in the 3rd row and 1st column, and is 25.

                      mn

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are :

Answer:

The last two I think

Step-by-step explanation:

Can I pls have brainly?

2

Step-by-step explanation:

:) hope its correct lol

Considering they're getting 2 more each wave, we can apply simple math to this.

6+2 and onwards,

0+3 and onwards until it surpasses the first value.

I calculated this, and it seems it takes around 6 minutes to catch up to the friend at 18 exercises.

It will take you 6 minutes to catch up to your friend.

Given that when you started your homework assignment, your friend already had 6 exercises done.

You can do about 3 exercises per minute, whereas your friend can only do 2 exercises per minute.

So, your friend is ahead by 6 exercises, and you can complete 3 exercises per minute while your friend can complete 2 exercises per minute.

This means you're gaining on your friend's lead at a rate of 3 - 2 = 1 exercise per minute.

To catch up to your friend's lead of 6 exercises, you'll need 6 minutes, because you'll be closing the gap by 1 exercise per minute.

So, it will take you 6 minutes to catch up to your friend.

Learn more about Unit rates click;

https://brainly.com/question/29180656

#SPJ3

Answer:

5.8 h po salamat

salamat po

Answer:

2nd option

Step-by-step explanation:

Answer:

-3 < x < -1/2

Step-by-step explanation:

4<-2x+3<9

1<-2x<6

-1/2 > x > -3

so

-3 < x < -1/2

Answer:

the answer is 6.8 litres

Step-by-step explanation:

3.4 × 2 = 6.8

Answer:

hi baby its me nick this is my new account

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Since the angle with the expession and the one that has a measure of 58 and corresponding, they have equal measure. This helps us write an equation-

12x-2=58

now, solve

-2+2=0, 58+2=60

12x=60

12x/12=60/12

x=5

hope this helps:)

please crown me brainliest!!!

Answer:

12x-2°=58°

12x=58°+2°

=60°

x=60÷12

=5

Answer:

5

Step-by-step explanation:

(8+4+5+4+9+0) /6 = 5

Answer:

06

Step-by-step explanation:

because the formula says so

Answer: (-9,-8) and (5,-4)

Step-by-step explanation:

I'm not 100% sure but i think this is the answer

Answer:

true its true ..

Step-by-step explanation:

we can know our profit or loss by our selling price

Answer:

r = c/2π

Step-by-step explanation

2πr = C

move 2π to the other side it will become division as 2π is multiplying r

r = C/2π

Answer:

2. 3(6+4)

Step-by-step explanation:

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

90, 90, 93, 94 ,96

Median = 93

Mode

96, 90, 94, 93, 90

Mode = 90

Range:

96 - 90 = 6

Range = 6

Answer:

4g + 5h

------------

   x

Step-by-step explanation:

Answer:

48 and 48

Step-by-step explanation:

product means multiplication

two middle values are 3 and 16

3*16 = 48

two outside values are 2 and 24

2*24 = 48

Answer:79°

Step-by-step explanation:

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: [tex]a^2+b^2=c^2[/tex]

C is always the largest number

a times a + b times b = c times c

Answer:

HF for shoo

Step-by-step explanation: