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2 years ago

Find the area of the polygon

Mathematics

1 answer:

Oksana_A [137]2 years ago

8 0

Answer:

Area of a regular polygon formulas

Step-by-step explanation:

area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)

area = perimeter * ri / 2 , given ri and polygon perimeter.

area = n * (ri)² * tan(π/n) , given ri.

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11. Find the coordinates of A' and B'if A (3,5) and B (-7, 3) undergo

NISA [10]

<h2>Answer: $(-3,-5),(7,-3)$ </h2>

Step-by-step explanation:

If a point $(x,y)$ gets reflected about origin,the new point formed after reflection is $(-x,-y)$ .

Given that $A=(3,5)$ ,

So, $A'=(-3,-5)$

Given that $B=(-7,3)$ ,

So, $B'=(-(-7),-3)$ $=(7,-3)$

4 0

3 years ago

D<br> Find mZW.<br> X<br> WK (11x - 29)<br> Z<br> (6x + 5)<br> mZW

Artist 52 [7]

Answer:

m<W = 103°

Step-by-step explanation:

First, find the value of x

m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)

11x - 29 + 6x + 5 = 180 (substitution)

Add like terms

17x - 24 = 180

Add 24 to both sides

17x = 180 + 24

17x = 204

Divide both sides by 17

17x/17 = 204/17

x = 12

Find m<W:

m<W = 11x - 29

Plug in the value of x

m<W = 11(12) - 29 = 132 - 29

m<W = 103°

3 0

3 years ago

Please can you work it out quickly thanks

PolarNik [594]

the answer for the first one is 15

Step-by-step explanation:

the length of the rectangle is 18 and there are 6 squares in the horizontal lines so the length of each square is 18÷6=3.

there are 5 squares in the vertical line so the width is 3*5=15

5 0

3 years ago

A group of college students are volunteering for help the homeless during their spring break. they are putting the finishing tou

zzz [600]

---------------------------------------------------------------------------
Irina:
---------------------------------------------------------------------------
Irina takes 7 hours to paint the room.
In 1 hour, Irina can paint 1/7 of the room.

---------------------------------------------------------------------------
Paulo:
---------------------------------------------------------------------------
Paulo takes 6 hours to paint the room.
In 1 hour, Paulo can paint 1/6 of the room.

---------------------------------------------------------------------------
Both paint together:
---------------------------------------------------------------------------
In one hour they can paint (1/7 + 1/6) of the room.
1/7 + 1/6 = 13/42

So, it takes 13/42 of the room takes 1 hour.

---------------------------------------------------------------------------
Find the number of hours
---------------------------------------------------------------------------
13/42 of the room = 1 hour

Whole room = 1 ÷ 13/42
Whole room = 1 x 42/13
Whole room = 3.23 hours

---------------------------------------------------------------------------
Answer: They need 3.23 hours to paint the room.
---------------------------------------------------------------------------

4 0

3 years ago

a firm wants to select a group of 8 out of its 20 employees to attend a Business trip .in how many ways can this be done if ther

inna [77]

Answer:

Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.

Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.

Step-by-step explanation:

Given

The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.

Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is

$^7C_{19}$ = 50388

If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is

$^8C_{19}$ = 75582

3 0

3 years ago