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Arte-miy333 [17]
3 years ago
8

Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.

Mathematics
1 answer:
fgiga [73]3 years ago
8 0

Answer:

Number of sides of the polygon is 7.

Step-by-step explanation:

Let x be the number of sides of the polygon.

Given ,

Length of each side = 5.2 m

Perimeter = 36.4 m

=> 5.2*x = 36.4

x = 36.4/5.2

x = 7

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Please help I don’t know if I’m doing this correctly
solmaris [256]

Answers:

  1. Exponential and increasing
  2. Exponential and decreasing
  3. Linear and decreasing
  4. Linear and increasing
  5. Exponential and increasing

=========================================================

Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x where b is the base of the exponent and 'a' is the starting term (when x=0).

If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.

If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.

In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.

Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.

---------------------

Problems 3 and 4 are linear functions of the form y = mx+b

m = slope

b = y intercept

This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.

If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.

On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.

Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.

7 0
1 year ago
Find the slope of the line through the points -12, 10 and -9,-15
Pavlova-9 [17]

Answer:

-25/3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Are the triangles similar?
mestny [16]

Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

7 0
2 years ago
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An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572"
jolli1 [7]

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0

Given:

x=\dfrac{-7\pm\sqrt{57}}{2}

Comparing the terms of the given x-value with those of the quadratic formula:

\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}

Therefore:

  • 2a=2 \implies a=1
  • b = 7
  • b^2-4ac=57

Using the found values of a and b to solve for c:

\implies b^2-4ac=57

\implies (7)^2-4(1)c=57

\implies 49-4c=57

\implies -4c=57-49

\implies -4c=8

\implies c=-2

In summary:   a = 1,  b = 7,  c = -2

\implies x^2+7x-2=0

Therefore, <u>option B</u> is the correct solution.

5 0
2 years ago
Read 2 more answers
Enter an algebraic expression for the word expression.<br>The quotient of -4 and y​
Morgarella [4.7K]

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

7 0
2 years ago
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