how many sides a hetergon got​

Answer:

Convert the decimal to a percentage by multiplying the decimal by  

100 .

500%

700%

900%

400%

Answer:

The first term is 10.

The second term is 16

The third term is 22.

We can see that the first term plus 6, is:

10 + 6 = 16

Then the first term plus 6 is equal to the second term.

And the second term plus 6 is:

16 + 6 = 22

Then the second term plus 6 is equal to the third term.

A) As we already found, the recursive rule is:

Aₙ = Aₙ₋₁ + 6

B) The explicit rule is:

Aₙ = A₁ + (n - 1)*6

Such that A1 is the first term, in this case A₁ = 10

Then:

Aₙ = 10 + (n - 1)*6

C)

Now we want to find A₅, then:

A₅ = 10 + (5 - 1)*6 = 34

There are 34 chairs in row 5.

D)

Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:

C = A₀ + A₁ + ... + A₁₆

This summation can be written as:

∑ 10 + (n - 1)*6        such that n goes from 0 to 16.

The formula  for the sum of the first N terms of a sum like this is:

S(N) = (N)*(A₁ + Aₙ)/2

Then the sum of the 17 rows gives:

S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.

There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.

A rule defined such that its definition includes itself.

Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.

For this case, we're provided that:

Seats in rows are 10 in front, 16 in second, 22 in third, and so on.

10 , 16 , 22 , .....

16 - 10 = 6

22 - 16 = 6

...

So consecutive difference is 6

If we take [tex]T_i[/tex] as ith term of the series then:

[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]

Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]

From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]

Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]

For 5th row, putting n = 5 gives us:

[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]

If the auditorium has 17 rows, then total chairs are:

[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]

(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )

Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].

Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593

Answer:

2d) d = 60°

3a) x = 50°

Step-by-step explanation:

2d) both of the diagonals pass through the centre of the circle and divide the rectangle into 4 triangles,then it means that;

30 + d = 90°

d = 90 - 30

d = 60°

3a) since O is the centre of the circle, and we can see that the 2 chords directly above and below the centre are parallel to each other, it means that angle x = 50° since the two sides projecting from the centre to form x° and 50° are equal and in essence used to form isosceles triangle.

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

Answer:

first, second and fourth are all correct

Step-by-step explanation:

Answer:  

588245.  

Step-by-step explanation:  

nth term = an = a1 r^(n-1)   where a1 = the first term  

a3 = 35 = a1  7^(3 - 1)  

35 = a1* 49  

a1 = 35/49 = 5/7  

So the 8th term = (5/7)* (7)^7

= 588245

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

Answer:

17 feet

Step-by-step explanation:

L² = 15² + 8² = 225 + 64 = 289

L = √289 = 17 feet

Answer:

do you need the area or the perimiter?

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Answer: uhhhhhhhhhhhhhhhhhhh whats the question?

Step-by-step explanation:

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

Answer:

3 AND 6 - 2 AND 5!

Step-by-step explanation:

hope i helped!

Answer:Im pretty sure it's 25% percent loss

Step-by-step explanation:

sorry if im wrong

Answer:

not really good at maths. 15.33

Step-by-step explanation:

3(x-5)-7=3×8

3x-15-7=24

3x =24+15+7

3x = 46

Three will divide it's self to give you one and divide 46 to give you 15.333

(correct me if i'm wrong)

Answer:

D. the average difference in height between each player and the mean height

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.

Answer:

hope this helps

you will find all answer in the photo i sent

Answer:

the answer is 35

Step-by-step explanation:

because if BC is 35 that means AB will have to be that same because it's a triangle

The required value of AB is 33 units for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Assume BC is the hypotenuse,

Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.

AB² + AC² = BC²

AB² + (12)² = (35)²

AB² + 144 = 1225

AB² = 1225 -144

AB² = 1081

AB = 32.8785

Rounded to two decimal places,

AB = 33 units

Therefore, the required value of AB is 33 units.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

Answer:

7.2

Step-by-step explanation:

Answer:

I dont think you realize you posted the answer...

Step-by-step explanation:

7.2

Answer:

The answer is D

Step-by-step explanation:

They are using 135 times the weeks, but the car already had 100 miles on it to start.  Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Answer:

20.3%

Step-by-step explanation:

Hope that helps :)

Answer:5.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct