All categories

4 years ago

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

Mathematics

1 answer:

igor_vitrenko [27]4 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.

You might be interested in

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the near

olga2289 [7]

Use the calculator to graph the function y = $2x^2+ 25x + 3$

In the graph , the coordinates of the vertex is the turning point of the graph.

Given function is the quadratic function. For quadratic function the graph will be U shaped parabola.

There will be only one turning point for parabola

Turning point is the vertex

To find vertex we use formula x= $\frac{-b}{2a}$

y = $2x^2+ 25x + 3$

a=2, b= 35

$x =\frac{-25}{2*2} =\frac{-25}{4}$ = -6.25

Now plug in $\frac{-25}{4}$ in f(x)

$y= 2(\frac{-25}{4})^2+ 25(\frac{-25}{4}) + 3$

Take common denominator

$y= \frac{625}{8}+ (\frac{-625}{4}) + 3 =\frac{625-1250+24}{8} =-\frac{601}{8}$ = -75.125

So coordinates of turning point is (-6.25, -75.13)

The graph is attached below.

8 0

4 years ago

Read 2 more answers

What is the solution to the system of linear equations?

balu736 [363]

2x + 4y = 38......multiply by -5
10x + 3y = 105
-----------------
-10x - 20y = - 190....result of multiplying by -5
10x + 3y = 105
----------------add
-17y = - 85
y = -85/-17
y = 5

2x + 4y = 38
2x + 4(5) = 38
2x + 20 = 38
2x = 38 - 20
2x = 18
x = 18/2
x = 9

solution is : (9,5)

3 0

3 years ago

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i

AleksandrR [38]

The answer is 22 your welcome

6 0

3 years ago

Read 2 more answers

One quarter of the rectangle

igomit [66]

Um what do you mean if your asking it as a fraction then 1/4

4 0