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
Tpy6a [65]
2 years ago
10

Find the perimeter of ABCD Find the area of Area

Mathematics
1 answer:
san4es73 [151]2 years ago
7 0

Step-by-step explanation:

A = (1, 3)

B = (3, 6)

C = (9, 2)

D = (7, -1)

the distance between 2 points is given by the Pythagoras equation based on the coordinate differences as legs of virtual right-angled triangles.

AD for example we get from

AD² = (7-1)² + (-1 - 3)² = 6² + (-4)² = 36 + 16 = 52

AD = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

and AB we get from

AB² = (3-1)² + (6-3)² = 2² + 3² = 4 + 9 = 13

AB = sqrt(13)

the perimeter of the given rectangle is

2×sqrt(52) + 2×sqrt(13) = 2×2×sqrt(13) + 2×sqrt(13) =

= 6×sqrt(13) = 21.63330765...

and the area of the rectangle is

2×sqrt(13)×sqrt(13) = 2×13 = 26

You might be interested in
Need help ASAP! due soon!!!
scoundrel [369]

Answer:

C

Step-by-step explanation:

C

7 0
3 years ago
Read 2 more answers
4 - 5/2 * (1/10x) = 1 what is the value of x
Inga [223]

4 - 5 / 2 * (1/10x) = 1\\

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

4 - 5 / 2 * (\frac{1}{10x})  = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12

We check our answer:

x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1

We are right!

So, x=12.

6 0
3 years ago
Samantha works at an animal shelter. She decides to track the total number of kittens that are brought in. The equation k=4w+3 r
mel-nik [20]

Answer:

B

Step-by-step explanation:

The equation k=4w+3 represents the total number of kittens, where w represents <u>the number of weeks that have passed since Samantha started counting.</u>

This means options C and D are false, because they say <u>the total number of kittens that have come into the shelter</u>.

w represents the number of weeks, weeks can be counted 0 weeks, first week, second week and so on, so option B is true (the domain is all whole numbers) because 0, 1, 2, 3, ... are whole numbers.

Number of weeks can't be a negative number. Since "real numbers" include negatives, therefore, we exclude option A.

7 0
3 years ago
In a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
Neko [114]

Answer:

105/330 = 21/66 = 7/22

7/22 is the answer I think

Step-by-step explanation:

n(U) = 330

n(A) = 85

n(B) = 200

n(A n B) = 60

Now,

n(A U B) = n(A) + n(B) - n(A n B)

or, n(A U B) = 85 + 200 - 60

or, n(A U B) = 285 - 60 = 225

Now,

n(A U B) compliment = n(U) - n(A U B)

n(A U B) compliment = 330 - 225

so, n(A U B) compliment = 105

Now,

probability = 105/330

8 0
2 years ago
vlad a economiit o suma de bani.A cheltuit 20 lei pentru felicitari apoi tatal i-a dublat suma. A cheltuit 40 lei pe martioare a
timurjin [86]

He had saved 320 initially

Step-by-step explanation:

Let the amount he saved be 'a'

Amount spent = 20 + 40 + 30

= 90

His grand father gave 50

At the end he has 280

280 = a - 90 +50

a = 280 -50 +90

= 320

He had saved 320 initially

7 0
4 years ago
Other questions:
  • Can someone please help me with this, marking brainliest and giving 15 points!
    10·1 answer
  • Quadratic Equation Word Problem
    10·1 answer
  • The isotope samarium-151 decays into europium-151, with a half-life of around 96.6 years. A rock contains 5 grams of samarium-15
    9·1 answer
  • Diego and Max are buying soft drinks for a neighborhood picnic. Each person is
    6·1 answer
  • What is y = sin-1(7/12)
    6·2 answers
  • What is the solution?
    13·1 answer
  • The table shows the coordinates of a function.
    13·2 answers
  • Please help me with this problem :) <br> show ur work please
    7·1 answer
  • Which equation would represent 30 kittens divided into groups of 4
    10·1 answer
  • One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!