Write four different expressions for the perimeter of a pentagon whose sides are all s-2 units long

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer: The answers are given below.

Step-by-step explanation: Given that all the sides of a pentagon are (s-2) units long. This clearly tells us that the pentagon is a regular one with each side equal to (s-2) units.

We are to write the perimeter of the pentagon in four different expressions.

Let 'P' represents the perimeter of the pentagon.

Since it is a regular pentagon, we can write the perimeter in following four expressions.

P = (s-2) + (s-2) + (s-2) + (s-2) + (s-2),

= 5 × (s-2),

= 5s - 10,

= 5s - 5×2.

Thus, these are the four expressions for the perimeter of the pentagon.

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(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l

Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be any number.

Then the first even number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

$(2n)+(2n+2)=30$

And we solve from there:

$4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7$

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

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3 years ago

Would each situation be represented by a positive or a negative number?

insens350 [35]

If 2 sodas and 4 hamburgers are $12.00 and 4 sodas and 2 hamburgers are $9.00 how much is a single hamburger?
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2s + 4h = 12, (1) 4s + 2h = 9. (2) Multiply (1) by 2. You will get 4s + 8h = 24, (1') 4s + 2h = 9. (2') Distract (2') from (1'). You will get 8h - 2h = 24 - 9, or 6h = 15 ---> h = = = 2.5. Thus one hamburger price is $2.50. Then from (1) s = = 1. Answer. One hamburger price is $2.50 and 1 soda costs $1.00.

There is even more elegant way to solve the problem.

Simply add all hamburgers and all sodas. 6 hamburgers and 6 sodas. $12 + $9 = $21.

Hence, 1 hamburger + 1 soda = = $3.50.

Having this, everybody can solve to the end in this way, actually, without equations and using the mental math only.

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4 years ago

To solve 493x = 3432x 1, write each side of the equation in terms of base.

iVinArrow [24]

The solution of the equation in terms of the base is $\rm x = \dfrac{-1}{2939}\\\\$ .