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3 years ago

1. What is a polygon? 2. What makes a polygon a regular polygon?

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Answer:

Step-by-step explanation:

A polygon is a simple, closed curve in the plane composed of finite number of line segments.

That it connects back where it started, and that its perimiter can be mesured.

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye

svetlana [45]

Answer:

The required recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

$Year \: 1 = 500$

Each year thereafter the number of leaves was 40% more than the year before so that means

$Year \: 2 = 500(1+0.40) = 500\times 1.4\\$

For the third year the number of leaves increase 40% than the year before so that means

$Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\$

Similarly for fourth year,

$Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\$

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

$f(n)= 500\times(1.4)^{n-1}\\$

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

$f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330$

So there will be 10330 leaves in the 10th year.

3 0

3 years ago

Read 2 more answers

10 divided by 2-(16 divided by 4) +14

ankoles [38]

Answer:

Step-by-step explanation:

okay so you gotta use pemdas (p = parentheses, e = exponents, m = multiplication, d = division, a = addition, s = subtraction), but for the multiplication/division and addition/subtraction parts, if division or subtraction happens first then you must do it first rather than doing multiplication or addition first

10 / 2 -(16/4) + 14

10 / 2 -(4) + 14

5 - 4 + 14

1 + 14

7 0

3 years ago

Read 2 more answers

Help plz:

Mice21 [21]

Step-by-step explanation:

you will see, this is totally easy. so, once you understand that principle, I am sure you will agree with me that this costs more time putting it in here than just doing it yourself in the future.

you need to consider for addition and subtraction every variable combined with an exponent a different thing, a fruit for example.

you know exactly what to do, when you are being asked to add 3 apples to 2 apples, right ?

or, when are are asked to add 4 apples and 2 pears to 3 apples and 2 pears.

in the first case we simply get 5 (2+3) apples.

in the second case we get 7 (3+4) apples and 4 (2+2) pears.

and nothing else happens here.

we could call x² apples, y² pears, y³ plums, x kiwis, t strawberries, t² raspberries. and the constants could be another fruit or grams of sugar.

now, we simply combine the "fruits" that belong together. there is nothing more to this.

5x² + 3y³ - 4x² = x² - 3y³ (because 5-4 for x²)

y³ + 2y³ - 8 + 2 = 3y³ - 6 (1+2 for y³ and -8+2 constant)

9 - 3x - 4x + 2x - 12 = -5x - 3

-6t + 4t² - 6 + 7t - 4t² = t - 6 (4-4 for t², -6+7 for t)

6 0

3 years ago

Which statements are true regarding undefinable terms in geometry? Check all that apply.

Vanyuwa [196]

I do not have your choices but all the statements that I can think of is the following: A point in the x,y form has two dimensions, a plane has a definite beginning and end, the line has one dimension or length, and finally a point consists of an infinite set of the lines <span />

7 0

4 years ago

Read 2 more answers

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 54 inches, find the

CaHeK987 [17]

w - width

3w - 1 - length

54 in - perimeter

w + w + (3w - 1) + (3w - 1) = 8w - 2 - perimeter

The equation:

8w - 2 = 54 <em>add 2 to both sides</em>

8w = 56 <em>divide both sides by 8</em>

w = 7

3w - 1 = 3(7) - 1 = 21 - 1 = 20

<h3>Answer: The length = 20 in.</h3>

7 0

3 years ago