if n is an integer, what is the sum of the next three consecutive even integers greater than 2n? a. 6n + 12 b. 6n + 10 c. 6n + 4 d. 6n + 8​

Answer:

Option D, $2.71

Step-by-step explanation:

Step 1:  Figure out the height

[tex](5.4)^{2} + b^{2} = (17.2)^{2}[/tex]

[tex]29.16 + b^{2} = 295.84[/tex]

[tex]b^{2} = 266.68[/tex]

[tex]\sqrt{b^{2}} = \sqrt{266.68}[/tex]

[tex]b = 16.33[/tex]

Step 2:  Figure out the area

[tex]A = \frac{5}{4} * tan(54) * a^{2} + 5 * \frac{a}{2} * \sqrt{h^{2} + (\frac{a * tan(54)} {2})^{2}}[/tex]

[tex]A = \frac{5}{4} * tan(54) * (8)^{2} + 5 * \frac{(8)}{2} * \sqrt{(16.33)^{2} + (\frac{(8) * tan(54)} {2})^{2}}[/tex]

[tex]A = 454.77[/tex]

Step 3:  Figure out the price

[tex]454.77 * 0.006[/tex]

[tex]2.72862[/tex]

Answer:  Option D, $2.71

Answer:

I don't know what is your name is your

Answer:

hi

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

Answer:

1/4

Step-by-step explanation:which is 2/8 simplified

Answer:

3/10

Step-by-step explanation:

3/5 x 2/4

2/4 = 1/2

3/5 x 1/2

3 x 1 = 3

5 x 2 = 10

3/5 x 2/4 = 3/10

Answer:

3. second

4. first

Step-by-step explanation:

the area of the figure is 113

Answer:

n= 5x each time

Step-by-step explanation:

=

Answer:

X = 20in

Step-by-step explanation:

6in × 2.5 = 15in

4in × 2.5 = 10in

8in × 2.5 = 20in

I hope this helps! I'm sorry if wrong.

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,

[tex]k=\dfrac{4}{10}[/tex]

The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,

[tex]k=\dfrac{8}{x}[/tex]

Both the factor are of same condition. Thus,

[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

Learn more about the scale factor here;

https://brainly.com/question/10253650

#SPJ2

Answer:

C

Step-by-step explanation:

it lacks the inequality signs

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

Answer:

69.5935735 miles or about 70 miles

Step-by-step explanation:

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

Answer:

450

Step-by-step explanation:

Answer:

450 square units, the formula is bxh divided by 2

Step-by-step explanation:

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

Answer:

Look below.

Step-by-step explanation:

Point slope fromula: y-y1=m(x-x1)

First we have to plug in our points and slope into the formula.

3 will be plugged into x1 while -1 will be plugged into y1.

Since m represents slope we will plug in -2 into m.

Answer: y+1=-2(x-3)