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serious [3.7K]
3 years ago
12

Please help i put a picture below

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

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The greatest integer function, shown below, is defined to be the greatest___ less than or equal to x.
Nataly_w [17]

Answer:

Integer

Step-by-step explanation:

The greatest integer function, F(x)=[[x]], is defined to be the greatest <u>integer that is </u>less than or equal to x.

The Greatest Integer Function is also referred to as the Floor Function.

It is written as  F(x)=[[x]]

The value of ⌊x⌋ is the largest or the greatest integer that is less than or equal to x

4 0
3 years ago
In a group of 55 people, 3x+5 people like banana and x+5 people like apple. If all the people who like apple also like banana an
pishuonlain [190]

i. The number of people who like banana only is 20.

ii. The number of people who like none of the fruits is zero.

iii. The number of people who like at most one fruit is 30.

The question has to do with sets.

<h3>What is a set?</h3>

A set a collection of well ordered items

<h3>i. How to find how many people like banana only.</h3>

Since we have 55 people, 3x + 5 people like banana and x + 5 people like apple. If all the people who like apple also like banana and if 2x + 15 people like at least one of fruit then, we have that

3x + 5 + x + 5 + 2x + 15 = 55

3x + 2x + x + 5 + 5 + 15 = 55

6x + 30 = 55

6x = 55 - 25

6x = 30

x = 30/6

x = 5

Since the number of people who like banana only is 3x + 5.

So, number of people who like banana only is n = 3x + 5

= 3(5) + 5

= 15 + 5

= 20

So, the number of people who like banana only is 20.

<h3>ii. The number of people who none of the fruits.</h3>

Since from the question, a person likes at least one fruit, either banana, apple or both. No one likes none of the fruits.

So, the number of people who like none of the fruits is zero.

<h3>iii. The number of people who like at most one fruit?</h3>

To like at most one fruit, the person either likes apple or banana.

So, their sum is n = 3x + 5 + x + 5

= 4x + 10.

Since x = 5, we have n = 4x + 10.

= 4(5) + 10

= 20 + 10

= 30

So, the number of people who like at most one fruit is 30.

Learn more about sets here:

brainly.com/question/27365556

#SPJ1

7 0
2 years ago
Find the slope and reduce.<br> P=(-3, -4) Q=(5, -1)<br> ?<br> Slope =<br> Enter
arsen [322]

Answer:

Slope is 3/8

Step-by-step explanation:

( -1 + 4)/ (5 + 3)

3/ 8

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3 years ago
If the least value of n is 4, which inequality best shows all the possible values of n?
Sladkaya [172]
Comment
If the least value of n is 4 that means that 4 is one of the numbers in whatever it is that you are describing. In other words n = 4 is part of your answer. If that is the case, the last two values are incorrect because 4 is not included in either one of them.

Discussion
So that means that you have to choose between one of the first 2. The key word is least. It means that the lowest possible value is 4. Nothing is lower. 

When you write something like n ≤ 4 what you are saying is the n must be = to or less than 4. The arrow head points to the smallest number which, in this case, is n. 

But the question says that the least number is 4. So the arrowhead must point towards the 4. This we have that n must be larger than 4. 

Conditions
There are 2 conditions to this problem
n must be greater than 4
n can equal 4. It is the smallest number.

Answer
n≥4 <<<<<answer
B <<<<<< answer.
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Alexeev081 [22]

Answer:

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Step-by-step explanation:

-4(2x+3)-2

you will use the -4 to open the bracket

-8x-12-2

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