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
SVEN [57.7K]
3 years ago
7

Find the perimeter of the polygon. Round your answer to the nearest tenth.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units

Perimeter refers to sum of lengths of all the sides.

Perimeter = 5.4+8.5+7.1+7+10.8=38.8

Or approximately 39 units

You might be interested in
A circle has a 10 centimeter radius. Find the area of the circle to the nearest tenth. (Use 3.14 for ?)
pickupchik [31]

Answer:

314.2 cm^2

Step-by-step explanation:

The formula for the area of a circle of radius r is A = 3.14r^2.

With r = 10 cm, r^2 = 100 cm^2, and so the area of this circle is 314.2 cm^2, to the nearest tenth.

3 0
3 years ago
Round 2,165.413 to the nearest hundredth.
stira [4]

2,200.413 is 2,165.413 to its nearest hundredth.

4 0
3 years ago
Solve the equation by factoring 2x^2+7x=4
Softa [21]

Answer:

x = - 4 , x = \frac{1}{2}

Step-by-step explanation:

given 2x² + 7x = 4

rearrange into standard form : ax² + bx + c = 0 : a ≠ 0

subtract 4 from both sides

2x² + 7x - 4 = 0 ← in standard form

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is

product = 2 × - 4 = - 8 and sum = + 7

The factors are + 8 and - 1

use these factors to split the middle term

2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )

2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )

(x + 4)(2x - 1) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}


6 0
3 years ago
Read 2 more answers
The graph shows the distance a boat is traveling over time. Does the boat travel at a constant or variable speed? How fast is th
defon

Answer:

the boat is traveling 35 m/h

5 0
3 years ago
What is an equation in math?
lesya692 [45]
 an equation<span> is a statement of an equality containing one or more variables</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Factorize 2x^3+7x^2-3x-18
    7·1 answer
  • 16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
    10·1 answer
  • Distributive Property Assignment<br> 1/6(3/5x+18)=<br> Leave answer as a fraction.
    15·1 answer
  • 11/3 divided by what equals 11​
    9·1 answer
  • Which ordered pair is a solution to the system of linear equations below?
    9·1 answer
  • Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R
    14·2 answers
  • If (2p + 1) is a prime number, which one of the following digits could be the value of p?
    7·1 answer
  • Bal Mukund can do 1/4 of a work can he do in 2 days​
    9·1 answer
  • 13. A counterexample
    15·2 answers
  • (3x-4y)^2-(3x-4y)(3x+4y)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!