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bogdanovich [222]
2 years ago
11

Find the area of the polygon​

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
3 0

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

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A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles in simpligied
GrogVix [38]

Answer:

1/16

Step-by-step explanation:

Both 5 and 80 can be divided by 5.

This reduces the ratio of 5/80 to 1/16.

3 0
3 years ago
Read 2 more answers
Pls Help asap
Alla [95]

Answer:

1. Q1=7 Q3=12 IQR=5

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Step-by-step explanation:

hope this helps have a good day or night

3 0
2 years ago
A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
_________________________________________________________
       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
_________________________________________________________
The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
8 0
3 years ago
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
Gelneren [198K]

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

3 0
3 years ago
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