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
Leto [7]
3 years ago
5

What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8,2), and (5,-2)?

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

The area of the parallelogram is 20 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The vertices of the parallelogram are (0 , -2) , (3 , 2) , (8 , 2) , (5 , -2)

- The side joining the points (0 , -2) and (5 , -2) is a horizontal side

  because the points have same y-coordinates

- The side joining the points (3 , 2) and (8 , 2) is a horizontal side

  because the points have same y-coordinates

∴ These two sides are parallel bases of the parallelogram

∵ The length of any horizontal side = x2 - x1

∴ The length of the side = 5 - 0 = 5 <em>or</em> 8 - 3 = 5

∴ The length of one base of the parallelogram is 5 units

- The height of this base is the vertical distance between these two

  parallel bases

∵ The length of any vertical distance = y2 - y1

∵ y2 = 2 and y1 = -2 ⇒ the y-coordinates of the parallel bases

∴ The length of the vertical distance = 2 - (-2) = 2 + 2 = 4 units

∵ This vertical distance between the two parallel bases is the height

  of these bases

∴ The height of the parallelogram is 4 units

- The area of the parallelogram = base × height

∵ The base = 5 units and the height = 4 units

∴ The area = 5 × 4 = 20 units²

* The area of the parallelogram is 20 units²

You might be interested in
I don't understand this and I can only miss 1 question on my quiz and already did​
Dahasolnce [82]

Answer:

23

Step-by-step explanation:

they add five

9+5=14

12+5=17

15+5=20

18+5=23

7 0
2 years ago
Read 2 more answers
At a university, 12% of students smoke. Calculate the expected number of smokers in a random sample of 140 students from this un
Masteriza [31]

Answer:

a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.

Step-by-step explanation:

To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

E(x)=n\cdot p=140\cdot 0.12=16.8

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.

4 0
2 years ago
Someone please help!! I’ll give brainliest!
snow_lady [41]

Answer:

1766.3

Step-by-step explanation:

V=4 /3πr^3

= 4/3(3.14)(7.5)^3

= 4/3(3.14)(421.88)

= 4/3(1324.69)

= 1766.25

= 1766.3

I hope this is right!

3 0
3 years ago
An ice chest contains 9 cans of apple juice6 cans of grape juice5 cans of orange juiceand 4 cans of pineapple juice Suppose that
KatRina [158]

Answer:

243/506

Step-by-step explanation:

There are 24 total juice boxes.

18 of them are not grape

You have an 18/24 chance of picking not grape juice

The second time, 1 is removed, then another is removed. This creates:

(18/24)*(18/23)*(18/22) = 243/506

4 0
2 years ago
The amount of money,y, in cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-inte
victus00 [196]

Amount of money received when x tickets are sold=$Y

Number of tickets sold=X

Slope of line= \frac{1}{4}

And , y- intercept = 8

Equation of line having slope m and y-intercept c is given by,

  y = m x + c,

Expressing the above statement in terms of linear equation in two variable i.e a line is

  Y = \frac{1}{4}X + 8

5 0
3 years ago
Other questions:
  • The functions f(x) and g(x) are graphed.
    6·2 answers
  • For which set of data will the scatter plot represent a positive linear association between x and y?
    14·1 answer
  • Find the value of x in the given triangle if the measure of angle 2 is x + 82.
    7·1 answer
  • How many miles is mars from earth​
    14·1 answer
  • 32km/s for 30 minutes
    11·1 answer
  • 6th grade math help me please
    7·2 answers
  • 2.<br> Determine if the function is Odd Even Neither.<br> [6]<br> f(x) = -3x4 + 2x3 – 5x2 + x
    14·1 answer
  • Philip has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 8
    14·1 answer
  • Giving brainliest to the correct answer
    13·2 answers
  • What is the value of X?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!