I'll do problem 1 to get you started.
The answer to problem 1 is 3400 miles
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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
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Let's first find the length of segment AB
A = (x1,y1) = (0,0)
B = (x2,y2) = (400,300)
d = Length of AB
[tex]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\\\\[/tex]
The distance from A to B is 500 miles. This is the same as saying segment AB is 500 miles long.
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Now find the length of segment BC
B = (x1,y1) = (400,300)
C = (x2,y2) = (-800,800)
d = length of BC
[tex]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\\\\[/tex]
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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.
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To summarize everything so far, we found these four side lengths
AB = 500BC = 1300CD = 800DA = 800The 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.
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
Three times a number minus five equals two times the number.
Answer:50
If the number is 5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
3x5-5=10x2=20
i need help with this question
Please answer. Geometry question. Please no fake answers
Answer:
[tex]Solution,\\<ACB = <CAF = 90^o [BC ~is~ parallel~ to~ CF~ and ~alternate~ angles]\\In~triangle~ABC,\\<ACB +<ABC+<BAC = 180^o [Sum~of~angles~of~triangle~is~180^o]\\or, 90^o + 28^o +<BAC = 180^o\\or, <BAC = 62^o \\Now,\\<BAC+<AED = <BDE [Sum~of~interior~angles~triangle~is~equal~to~the~exterior~angle]\\or, 62^o+3x = 4x+x\\or, 62^o = 5x-3x\\or, 2x = 62^o\\or, x = 31^o[/tex]
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Which of the following values make the inequality x≤11 true?
Select all that apply.
1: -4
2: 11
3: 22
4: 15
5: 9.2
6: 3/4
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Answer:
-8 and 4
Step-by-step explanation:
Answer:
-5 + (-3) = -8
6 + (-2) = 4
Step-by-step explanation:
Can somebody help me... plsssss
4y-x=5+2y in slope intercept form plz<3 explain
Answer:y=1/2x + 5/2
Step-by-step explanation:
A company produces 9366 pencils in 3 hours. The pencils are packaged into boxes with 144 pencils in each box. How many full boxes of pencils are produced in 3 hours
Answer:
432 boxes
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A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction, StartFraction p Over 6 EndFraction.
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
I might just be slow but it looks like all but the second one
Step-by-step explanation:
Answer:
a
d
e
f
g
Step-by-step explanation:
i just took the test
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Layla is selling pizzas to raise money for a school choir trip. She earns a profit of $6 for each pizza she sells. Let t represent the total profit earned for selling p pizzas.
On a separate piece of paper, write an explanation of how to graph the relationship. Then graph the relationship. Scan and upload your answer.
Answer:
It would be easier if you send the picture of the question, then I can edit and send the picture
Help me please please
Answer:
1. a=3
2. c=8.9
3. c=6.3
4. c=26
5. c=7.8
6. c=17
7. c=10
8. b=15
9. b=10.7
10. a=13.2
11. yes
12. no
13. yes
14. no
15. yes
16. no
FILE ATTACHED TO QUESTION
Answer:
Henson: 3x + y = 236. Garcia: 2x + 3y = 218
Step-by-step explanation:
Henson:
Adult tickets are x, and they bought 3 adult tickets meaning they bought 3x. A kid tiket is y and they bought one kid ticket meaning they have 3 adult (x) + one kid (y). Their total price was 236 so it 3x + y = 236
Garcia:
They bought 2 adult tickets and 3 kid tickets. 2x's and 3y's. Their total price was 218, so 2x + 3y = 218
Please give brainliest :)
i will give the brainiest
Answer:
first one
Step-by-step explanation:
Answer:
left table on the second picture
Step-by-step explanation:
1. ____________________________ plate boundaries occur where plates are drawing apart from each other.
2. _____________________________plate boundaries occur when adjacent plates move towards each other.
Please help, it's due today.......
Answer:
1. Divergent
2. Convergent
Step-by-step explanation:
enjoy :)
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You have a spinner with 4 sections labeled A, B, C & D. You plan to spin the spinner once and then roll a number cube. What is the probability that the spinner will land on B and the dice will land on an even number?
Answer:
1/4 possibility of choosing B and 1/2 possibility of getting an even number.
Step-by-step explanation:
B has a 1/4 chance of being picked since there are 4 sections. A cube has 3 even numbers . . . and a cube has 3 odd numbers. The total amount of numbers on a cube is 6, since there are 3 even numbers it is 3/6 which is reduced to 1/2.
The system of equations relates the distance, y,
from a station of two trains and the speed, x, at which they are moving.
y + 10x = 250
2.5y = -25x + 625
a. What does the system of equations tell you about the speed
of the trains?
b. What does the solution tell about the locations of the trains if they
left the station at the same time? If they left at different times?
Helppppp pleaseeeeee
Answer:if you get the app socratic if can really help you out
Step-by-step explanation:
Good Luck! Try your best!
Answer:
4 and 1/6
Step-by-step explanation:
3/3 + 1/2 + 8/3
6/6 + 3/6 + 16/6
9/6 + 16/6
25/6
4 1/6
please help, explain and be specifec please
Pls do all three:) I will mark brainliest!
Answer:
1. C
2. D
3. B
Step-by-step explanation:
what is 4 days 1 day 5hr - 7hr 15 min 50 min
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $4.00 and a small lemonade is $3.00.
The expression represents 50% of the money he collects. 0.50(4l + 3s)
Use the Distributive Property to expand the expression.
The simplified expression is...... ?
Answer:
0.5 x 4 + 0.50 x 3
Step-by-step explanation:
Everthying in the parenthases is being multiplied by 0.5 or 0.50
help me with this pls help
Answer:
1646/1
Step-by-step explanation:
To write 1646 as a fraction you have to write 1646 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1646 = 1646/1 = 16460/10
Which relation is a function?
{0, –9, –2, –3}
{(0, –9), (–9, –2), (0, –3)}
{(0, –9), (–2, –3), (–2, 0), (–3, –2)}
{(0, –9), (–9, 0), (–3, –3)}
Please help me. Please please
Answer:
Your answer is slightly correct but there are flaws, You need to re write it better, 6.5=6.5=13+5=18=64 and the rest you put
Step-by-step explanation:
Hope this helps
Please answer 93 points
Answer:
8/125 cu.yd.
Step-by-step explanation:
the answer is simple it is 8/125 cubic yards. the problem gives you the formula and in the picture one side is 2/5yds. so you take that number and plug it into the formula. so you take 2/5 and raise it to the 3rd power giving you the answer of 8/125cu.yd.
another one :/ .....
Answer:
6.62 , 6.63
Step-by-step explanation:
Answer:
6.60, 6.62
Step-by-step explanation:
thats 7th?
Select the TWO multiplication equations that could represent the following question: how many 3/8s are in 5/4
A. ? x 3/8 = 5/4
B. 3/8 x ? = 5/4
C. ? x 5/4 = 3/8
D. 3/8 x 5/4 = ?
Answer:
3
Step-by-step explanation:
it would be 3/8 and 10/8... 3 can only go into 10, 3 times.
A person who weighs 160 pounds on Earth will weigh approximately 380 pounds on Jupiter. Sam makes this table to help him determine how much a person who weighs 120 pounds on Earth will weigh on Jupiter:
Which equation shows what Sam can do next to determine how much a person who weighs 120 pounds on Earth will weigh on Jupiter, yy?
Answer:
220
Step-by-step explanation:
the answers is 220 as the y=220
the graph models the height h in meters if a hot air balloon t minutes after beginning to descend. how high was the balloon when it began its descent
Answer:
95 m
Step-by-step explanation:
If the graph shows the height of the balloon after t minutes from beginning of descent, look to when t = 0. At t=0 it has not yet begun it's descent because no minutes have passed. At that point on the graph the height is 95 m (the point is (0,95))