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dedylja [7]
4 years ago
15

Find the area of a regular pentagon with side equal to 3 and apothem equal to K

Mathematics
2 answers:
viva [34]4 years ago
7 0

a regular polygon has all equal sides.


a PENTA=5, pentagon has 5 sides, so a regular pentagon has 5 equal sides.


\bf \textit{area of a polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=K\\ p=\stackrel{3+3+3+3+3}{15} \end{cases}\implies A=\cfrac{1}{2}K15\implies A=\cfrac{15}{2}K

goblinko [34]4 years ago
4 0

The answer is 7.5K :)

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The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved . The bracelet costs $30. How much money
pochemuha

Lily has saved $ 7

<em><u>Solution:</u></em>

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin
jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

<u>GIVEN :-</u>

There are 2 right-angled triangles.

In the triangle on the right side ,

  • Hypotenuse = 26m
  • Base = 10m

In the triangle on the left side ,

  • Base = 18m

<u>TO FIND :-</u>

  • Length of the common perpendicular to both triangles.
  • Length of the hypotenuse of the triangle on the left side.

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • Hypotenuse = \sqrt{Base^2 + Perpendicular^2}.
  • Perpendicular = \sqrt{Hypotenuse^2 - Base^2}

<u>SOLUTION :-</u>

In the triangle on the right side ,

Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m

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3 0
3 years ago
Which of the following sets is NOT dlosed under addition?
sergij07 [2.7K]

Answer:

Odd numbers.

Step-by-step explanation:

Closed under addition means you will able to take any two numbers from whatever set is mentioned and add them to get a number in that same set.

(If I say counting numbers, I'm still talking about the natural numbers.)

So let's look at the natural numbers {1,2,3,4,5,6,...}.

1+1=2

1+2=3

1+3=4

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6+19=25

Let a and b be counting numbers.

a+b is still going to be a counting number.

You will always get a counting number when adding two counting numbers. So the counting numbers (also known as the natural numbers) is closed under addition.

Let's skip down to odd numbers because the other sets are similar to the first.

Let's add a pair of odd numbers.

3+5=8

8 is not odd so the odd numbers are not closed under addition because we will not always get an odd number. In fact, you will never get a odd number, but the thing is you just need one example to show it is not closed.

(2k+1)+(2a+1)

2(k+a)+2

2(k+a+1) is even so adding two odds will always give you an even.

4 0
3 years ago
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