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
Rudik [331]
3 years ago
12

Select the correct answer. A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of th...

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0

Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair  (3, 1),  and (7, 2), the length of that side

= √(7 - 3)^2 + (2  - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

You might be interested in
Can someone help me ? <br> answers are written below on picture sorry for handwriting
andrew11 [14]
I think it's 60
°°°°°°°°°°°°°°°°
3 0
3 years ago
Read 2 more answers
486 is what percent of 900
gladu [14]
486/900 = .54 = 54%. .......
3 0
3 years ago
(4 ten Thousands 4 thousands) x 10 =
sweet-ann [11.9K]
The answer would be

40,000
8 0
3 years ago
Read 2 more answers
Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar
Brrunno [24]

The distance between the two points is d=8.6m

The polar coordinate of A is \left(4.47,296.57\right)

The polar coordinate of B is \left(4.24,135\right)

Explanation:

The two points are A(2,-4) and B(-3,3)

The distance between two points is given by,

d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6

Thus, the distance between the two points is d=8.6m

The polar coordinates of A can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting A(2,-4), we get,

Distance = \sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47

tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43

To make the angle positive, let us add 360,

\theta=360-63.43=296.57

The polar coordinate of A is \left(4.47,296.57\right)

Similarly, The polar coordinate of B can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting B(-3,3), we get,

Distance = \sqrt{(3)^{2}+(3)^{2}}=4.24

tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45

To make the angle positive, let us add 360,

\theta=180-45=135^{\circ}

The polar coordinate of B is \left(4.24,135\right)

5 0
3 years ago
Is 8/12 greater than 10/15?<br><br> and how do you know?
valentina_108 [34]

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

first find the least common denominator

that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

8 0
3 years ago
Read 2 more answers
Other questions:
  • A set of data consists of 38 observations. how many classes would you recommend for the frequency distribution
    8·1 answer
  • Express 79.2% as a decimal. <br> A. 7.92 <br> B. 79 <br> C. .0792 <br> D. .792
    6·2 answers
  • The Briarwood Middle School chess club has 55 members. 22 of the members are in seventh grade. What percent of the members of th
    12·2 answers
  • Please help me on how to solve this question, it is really confusing, pleaseeeee
    15·1 answer
  • Sasha is outside of a building. She sees Thomas on the 4th floor at an angle of elevation (from ground level) of 48°. She then s
    6·1 answer
  • 38.72 X 10 to the power of 4
    14·1 answer
  • May someone please help out with this
    15·1 answer
  • 1. two lines meet at a point. set up and solve an equation to find the value of x
    15·1 answer
  • 3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund​
    7·1 answer
  • in any given year a factory has a 10% probability of having a serious accident. about every how many years might the factory exp
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!