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3 years ago

The figures below are similar the label size are corresponding. What is the perimeter of the larger pentagon?

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

The perimeter of the larger Pentagon is 35in. You do 7 times the number of sides (7×5), because all the sides are congruent, which should equal 35.

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Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27

Luden [163]

Answer:

Recursive formula is: $a_1=-1 ; \ \ a_n=a_{n-1}+7$

Explicit formula is: $a_n=7n-8$

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type: $a_1= First \ term$ and $a_n=a_{n-1}+d$

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

$a_1=-1 ; \ \ a_n=a_{n-1}+7$

Finding Explicit Formula

The explicit formula is of type: $a_n=a_1+(n-1)d$

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

$a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8$

So, explicit formula is: $a_n=7n-8$

7 0

3 years ago

What is the approximate area of the circle? Use 3.14 for n.

anastassius [24]

Answer:

12.5 in^2

Step-by-step explanation:

$C=2\pi r$

25=2(3.14)r

25=6.28r

Divide by 6.28 on both sides:

3.98089172=r

Now use $\pi r^{2}$ :

12.5 in^2

6 0

3 years ago

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If a rectangle has an area of 132 Units and a length of 11 units what is the width? If necessary round your answer to decimal pl

Rus_ich [418]

Answer: 12.00 units

An area should be measured in square units so the area in the question should be 132 square units. In a rectangle having an area of 132 square units and a length of 11 units, the width (W) is computed as follows:

W=A/L

W=132/11

12.00 units

4 0

3 years ago

Read 2 more answers

Will give brainliest plz answer

Monica [59]

4x+8:

9x+2-5x+6

2x+1+2x+7

-4x-8

-7x-10+3x+2

4x-8:

-x+5+5x-13

-2x-7+6x-1

Step-by-step explanation:

We will have to solve each expression to see to which category it belongs

So,

1. 9x+2-5x+6

$9x-5x+2+6\\=4x+8$

2. -2x-7+6x-1

$=-2x+6x-7-1\\= 4x-8$

3. 2x+1+2x+7

$= 2x+2x+1+7\\= 4x+8$

4. -6x+2+2x-10

$=-6x+2x+2-10\\= -4x-8$

5. -x+5+5x-13

$=-x+5x-13+5\\=4x-8$

6. -7x-10+3x+2

$=-7x+3x+2-10\\=-4x-8$

Hence,

4x+8:

9x+2-5x+6

2x+1+2x+7

-4x-8

-7x-10+3x+2

4x-8:

-x+5+5x-13

-2x-7+6x-1

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

4 0

4 years ago

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

m_a_m_a [10]

Answer:

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x

and the cost of a large popcorn be $y

According to question,

A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85 ..............(1)

A family bought 3 medium drinks and 2 large popcorn for a total of $23.90

3x + 2y = 23.90 ..............(2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 2 , we get,

4x + 2y = 27.70 ..............(3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25

7 0

3 years ago

Read 2 more answers