1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
satela [25.4K]
3 years ago
10

Given A(-2,0); B(2,0); C(4,3); D(0,4); and E(-4,3) find the area and perimeter

Mathematics
2 answers:
Alik [6]3 years ago
8 0

Answer:

The <u>area is 20 and perimeter is 19.4</u>

Step-by-step explanation:

The given points will be plot on graph as shown in figure-1  

To calculate the area of this figure,

we divide this pentagon into 5 equal parts (figure-2)

we calculate area of  only one part and then multiply with 5 to get area of pentagon.

we can see in figure-2 , base is shown by green line which is '4' and height is shown by red line which is '2'

so, the area of triangle is calculated by \frac{1}{2}\times\text{height}\times{base}

A=\frac{1}{2}\times2\times4

A=4

therefore, the total area of pentagon is <u>A=5*4 = 20</u>

To calculate the perimeter of pentagon;

<u>Parameter</u> = Add all the sides of pentagon

to find the length of sides of polygon by using distance formula;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

distance between (-4,3) & (-2,0) =(4,3) & (2,0) = \sqrt{(-2-(-4))^2+(0-3)^2}

=\sqrt{(2)^2+(-3)^2}

=\sqrt{4+9}

=\sqrt{13}

=√13

distance between (0,4) & (4,3) =(0,4) & (-4,3) = \sqrt{(4-(0))^2+(3-4)^2}

=\sqrt{(4)^2+(1)^2}

=\sqrt{16+1}

=\sqrt{17}

=√17

and distance between (-2,0) & (2,0) is 4

So, Parimeter 'P' ;

P= 2*√17 + 2*√13 + 4

P= 2*√17 + 2*√13 + 4

P= 8.246 + 7.21 + 4

P = 19.4

<u>Hence area is 20 and perimeter is 19.4</u>

Iteru [2.4K]3 years ago
6 0

Answer:

If you graph the points and count the length you would get bases, 4 and 8 and the height 3

split it in two triangles like this http://prntscr.com/mtt4sq

then the triangle area formula base*height/2

8*3/2 = 12

4*3/2= 6

12+6=18

Now if we add the top triangle/s.   b*h/2

8*1/2=4

There are two triangles. The top half would equal 8.

18+8=26

The area would be 26

For perimeter:

We just need to find the hypotenuse since we know the height and the base of the triangle in the corner the base is 2. http://prntscr.com/mtt5bx

Using a2+b2=c2

2^2+3^2=c^2

4+9=13^2

13^2=3.6

Now we know all 4 sides.

3.6+3.6+4=11.2

This is for the bottom half total.

For the top triangle hypotenuse:    a^2+b^2=c^2

4^2+1^2=c^2

16+1=c^2

17^2=4.1

11.2+8.2= 19.4

The perimeter is 19.4

Hope this helped. :)

You might be interested in
A radio station had 141 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tick
erica [24]

Answer:

Option C: 47 tickets

Step-by-step explanation:

Given that:

Tickets given to employees = 1 part

Tickets given to listeners = 2 parts

This means 141 tickets are totally divided into 3 parts so:

1 part = 141/3

1 part = 47

So now,

Tickets given to employees = 1 part = 47 tickets

Tickets given to listeners = 2 parts = 47 *2 tickets = 94 tickets

I hope it will help you!

4 0
3 years ago
8.4 km/min into km/h​
Lisa [10]

Answer:

504km/h

Step-by-step explanation:

there are 60 minutes in an hour.

8.4kmx60min= 504km/h

6 0
3 years ago
Lisa is seven times as old as her brother. She will be four times as old as her brother in three years. Represent the above situ
dlinn [17]

Answer:

3

Step-by-step explanation:

3 0
2 years ago
PLEASE ANSWER ALL
mars1129 [50]

Step-by-step explanation:

The axis of symmetry: is the line that makes the parabola split in exactly half and lines up with the vertex. For that parabola x=1 is the line of symetry.

The vertex is where the minimum of the graph is, on this graph you can eyeball it to be (1,-9)

The x-intercept is where y is 0 so that's where the lines intersex with the x-axis. (-2,0) and (4,0)

The y-intercept of the function is where x is 0 and where the parabola intersects with the y-axis. On this graph it would be (0,-8)

Hope that helps :)

4 0
3 years ago
Verify the identity. Justify each step.
pishuonlain [190]
From the trigonometry:

tan θ = (sin θ) / (cos θ)
cot θ = (cos θ) / (sin θ)

∴ tan θ + cot θ = (sin θ) / (cos θ)  +  (cos θ) / (sin θ)
  = [ sin² θ + cos² θ]/( sin θ cos θ) = 1 /( sin θ cos θ )


note :   sin² θ + cos² θ = 1

6 0
2 years ago
Other questions:
  • Choose the linear eqution that has a y- intercept of 3.
    9·1 answer
  • 46 less than -8 times a number is the same as 8 less than -6 times the number
    13·1 answer
  • 17. Find the value of each of these:<br>(1) 4² (11) 92<br>(iii) 100²<br>(iv) 64²​
    12·1 answer
  • Find the sum of an AP sequence 6,2,-2,-6,-10..... up to 20 terms
    5·1 answer
  • A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b). What is the volume of the box in te
    6·1 answer
  • Please help ASAP! please and thank you have a great and blessed day!
    8·1 answer
  • Need help with this problem ​
    14·1 answer
  • Explain how (-3) x (-3) = 9 using coupons as the real world example
    5·2 answers
  • Help please!please ASAP
    5·2 answers
  • Find the slope y-intercept of each line. Write the equation of the line please help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!