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
lukranit [14]
3 years ago
9

Could somebody help me with Geometry? THANKS!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
5 0

I'll do problem 1 to get you started.

The answer to problem 1 is <u>3400 miles</u>

============================================================

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

----------------------------------------

Let's first find the length of segment AB

A = (x1,y1) = (0,0)

B = (x2,y2) = (400,300)

d = Length of AB

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\

The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.

----------------------------------------

Now find the length of segment BC

B = (x1,y1) = (400,300)

C = (x2,y2) = (-800,800)

d = length of BC

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(400-(-800))^2 + (300-800)^2}\\\\d = \sqrt{(400+800)^2 + (300-800)^2}\\\\d = \sqrt{(1200)^2 + (-500)^2}\\\\d = \sqrt{1440000 + 250000}\\\\d = \sqrt{1690000}\\\\d = 1300\\\\

----------------------------------------

The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

----------------------------------------

To summarize everything so far, we found these four side lengths

  • AB = 500
  • BC = 1300
  • CD = 800
  • DA = 800

The perimeter is going to be the sum of those four sides, leading to...

perimeter = sum of sides

perimeter = AB+BC+CD+DA

perimeter = 500+1300+800+800

perimeter = 3400 miles

This is the total distance traveled if you started at city A, went to B, then to C, then to D, and then finally went back to A.

makvit [3.9K]3 years ago
5 0

Answer:

The total distance is 3400 miles

Step-by-step explanation:

Given the following points:

​A(0,0)

B(400,300)

C(−800,800)

D(−800,0)

​

we can find the distance between each of them using the following equation:

d(X,Y)=

√(x2

−x1

)2

+(y2

−y1

)

2

in this case, we only need to find the distance from A to B and from B to C:

​d(A,B)=

√(400−0)2

+(300−0)2

=

√160000+90000

=

√250000

=500

d(B,C)=

√(−800−400)2

+(800−300)2

=

√1440000+250000

=

√1690000

=1300

​

next, notice that the distance from C to D and from D to A are on lines parallel to the x-axis and the y-axis, then, we can see that the distances are the follwing:

​d(C,D)=800

d(D,A)=800

​

then, the total distance traveled will be the perimeter of the polygon, Thus, adding the distances we have:

​P=d(A,B)+d(B,C)+d(C,D)+d(D,A)=500+1300+800+800

=3400

⇒P=3400miles

You might be interested in
What is 2y^2-15y+7 factored
Veseljchak [2.6K]

Answer:

(2y−1)(y−7)


Step-by-step explanation:


1) 2y^2-y-14y+7


2) y(2y−1)−7(2y−1)


3) (2y−1)(y−7)



6 0
3 years ago
A circular pizza has a diameter of 12 inches . a pizza in the center of the pan has a radius of 4 inches . how much of the pan i
matrenka [14]
I think its 4.28537832453 
7 0
3 years ago
Here is a Math Question. Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey has earned $400.
Sliva [168]
Joey originally put in $384.
4 0
3 years ago
Read 2 more answers
What are the coordinates of points E, F, and GS
salantis [7]

Answer:

its a i think

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The radius of the base of a cylinder is 3 feet. Is the volume of the cylinder a linear or nonlinear function of the height of th
Deffense [45]
Nonlinear.....it's not a line lol
6 0
3 years ago
Other questions:
  • Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes
    11·1 answer
  • What Did the Baby Porcupine Say When It Backed into a Cactus??
    5·2 answers
  • Graph the line with the given slope and y-intercept.<br> slope = 2. y-intercept =-5
    7·1 answer
  • A box contains 3 coins, one fair, one weighted with a 2 3 chance of coming up heads, and one weighted with a 2 3 chance of comin
    9·1 answer
  • I needd helpppppppp pleaseeeee
    7·1 answer
  • How many steps do we take from 0 to -13???
    6·1 answer
  • *EXTRA POINTS* Identify each pair of angles as-----
    5·1 answer
  • The perimeter of a rectangle is 104 meters. If the length of the
    13·1 answer
  • 2. Find the area of a circle with a diameter of 10<br> feet.
    9·2 answers
  • Please help me urgent
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!