A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answers
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
Related Questions
19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?
Answers
Answer:
0.24$
Step-by-step explanation:
Each egg costs 1/12 of 2.88.
So either you multiply 2.88 by 1/12
or you divde 2.88 by 12
Answer:
0.24
Step-by-step explanation:
you would divide 2.88 by 12 hope this helps.
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answers
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
1) A pair of snow boots at an equipment store in Big Bear costs $60. If there is a tax of 7% how much do you pay?
O $64.20
O $67.00
O $53.00
O $42.60
Answers
Answer:
$64.20
Step-by-step explanation:
%7 of a dollar is .07
.07 × 60 = 4.20
4.20 + 60 = 64.20
25 POINTS what is the domain of the quadratic function graphed below?
a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)
Answers
Answer:
A or D i tink
Step-by-step explanation:
becuz i tink b and c is not to me
Answer: (a) all real numbers
Step-by-step explanation:
The arrows mean that the line continues for infinity, so the x continues to change for infinity.
7+root 3 divided by 7-root 3
Answers
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659
help the extra pics are for the extra answers to the same questions.
Answers
Answer:
B
B
B
I think these are right
Step-by-step explanation:
All of them are bs.
Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds
Answers
Answer:
B)7.25
Step-by-step explanation:
16x7.25=116
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answers
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answers
I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.
The book contains 200 thin sheets of paper.
The student wants to find the average mean, thickness of a sheet of paper in the book
Describe how he can determine such a small distance using only a ruler.
Answers
Answer:
Measure all the sheets together and divide by 200
Step-by-step explanation:
An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.
Using these clues, make a quadilateral. Write the name and each side. What is the perimeter?
1. rectangle with sides 7 feet
2. 7feet
3. 10 feet
4. 10feet
Answers
The name of my shape is a parallelogram. The sides are:
7 feet7 feet10 feet10 feetThe perimeter is 34 feet because:
Step 1: Add smaller groups.
10 + 10 = 20
7 + 7 = 14.
Step 2: Add the two numbers.
14 + 20 = 34.
Hope this answer helps you!
Solve for : x
6x+34+ 8x+14
my last one please helpp
Answers
Answer:
x = 10
Step-by-step explanation:
8x + 14 = 6x + 34 (vertically opposite angles are equal)
Rearrange
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
So we know that they are equal to each other.
so 6x+34=8x+14
-6x
34=2x+14
-14
20=2x
/2
x=10
A family leaves at 6:35 AM on a 225 mile trip. If the average speed is 76 miles per hour, what time will they reach their destination?
Answers
Answer: 9:32
Step-by-step explanation:
225/76 is 2.96, then you do 60x0.96 to find how many minutes that is which is 57 plus the 2 hours is 2 hours 57 minutes and when you add 2 hours 57 minutes to 6:35 you get 9:32
Expressions equivalent to (7^3 x^4)^0
Answers
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1
The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?
Answers
Answer:
145.9°C
Step-by-step explanation:
Given that :
Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C
Highest temperature recorded (Greenland Ranch California) = 56.7°C
Difference between the highest and lowest recorded temperature :
(Highest temperature - lowest temperature)
(56.7°C - (-89.2°C))
= 56.7°C + 89.2°C
= 145.9°C
What is the equation of the line with a slope of 2/3 and a y-intercept of 4?
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
pls answer for points
Answers
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.
Answers
Answer:
Purchases= production + desired ending inventory - beginning inventory
Step-by-step explanation:
Giving the following information:
Two pounds of raw materials are needed to produce one product.
The desired ending balance of raw materials is 10% of the next month's production needs.
The beginning inventory of raw materials is 4,000 pounds.
The raw material cost per unit is $0.50 per pound.
To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.
To calculate the purchase required, we need to use the following formula:
Purchases= production + desired ending inventory - beginning inventory
For example:
Production:
January= 5,000 units
February= 4,500 units
Direct material purchases January:
Production= 5,000*2= 10,000
Desired ending inventory= (4,500*2)*0.1= 900
Beginning inventory= (4,000)
Total purchase in pounds= 6,900
Total direct material cost= 6,900*0.5= $3,450
Solving each proportions 10/8=n/10
Answers
Answer:
n=12.5
Step-by-step explanation:
10/8=n/10
multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5
rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form
Answers
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?
Answers
Answer:
161secsStep-by-step explanation:
If Frederick can swim 25 yards in 23 seconds, then:
25 yards = 23 seconds
To determine how long it will take him to swim 175yards, we will say:
175 yards = x
Equating both expression:
25 yards = 23 seconds
175 yards = x
Cross multiply
25x = 23*175
25x = 4025
Divide both sides by 25
25x/25 = 4025/25
x = 161 secs
This means that it will take Frederick 161 secs to swim 175 yards
Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?
Answers
Answer:
Victor runs 0.6 of a lap in 1 minute
Step-by-step explanation:
From the question;
3 laps = 5 minutes
x laps = 1 minute
3 * 1 = 5 * x
3 = 5x
x = 3/5
x = 0.6
Victor runs 0.6 of a lap in a minute
Name the slope of a line parallel to y = -3x -2
Answers
they only said simplify and i guessed the answer as undefined
Answers
Last one lol. Could I have an explanation so I can understand and ty!
Answers
Answer:
(x,y)→(x+7,y)
Step-by-step explanation:
Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.
Im reallyyyy bad at explanations but hope this helped:)
how do I factor polynomials
Answers
Look for factors that appear in every single term to determine the GCF. ...
Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...
Multiply out to simplify each term.
Show work.
Simplify 5! 3! / 2! 2!
Answers
Answer:
Simplify the expression.
Exact Form:
41 /12
Decimal Form:
3.41 6
Mixed Number Form:
3 5 /12
Can anyone do this question?
Answers
Answer:
its simple 5.90
Step-by-step explanation:
If f(x)=ax²+bx+c and f(1)=6,f(2)=11,f(3)=18 find the value of a,b,c
Answers
f(x) = ax² + bx + c
f(1) = 6
f(2) = 11
f(3) = 18
Find:value of a,b,c
Solution:Substitute x = 1 , 2 , 3 in the given polynomial.
★ f(1) = a(1)² + b(1) + c
⟹ 6 = a + b + c -- equation (1)
Similarly,
★ f(2) = a(2)² + b(2) + c
⟹ 11 = 4a + 2b + c -- equation (2)
★ f(3) = a(3)² + b(3) + c
⟹ 18 = 9a + 3b + c -- equation (3)
Subtract equation (1) from (2).
⟹ 4a + 2b + c - (a + b + c) = 11 - 6
⟹ 4a + 2b + c - a - b - c = 5
⟹ 3a + b = 5 -- equation (4).
From equation (3) ,
⟹ 18 - c = 9a + 3b
⟹ 18 - c = 3(3a + b)
Substitute the value of 3a + b from equation (4).
⟹ 18 - c = 3 * 5
⟹ 18 - 15 = c
⟹ 3 = c
substitute the value of c in equation (1).
⟹ 6 = a + b + 3
⟹ 6 - 3 = a + b
⟹ 3 = a + b -- equation (5)
Subtract equation (5) from equation (4).
⟹ 3a + b - (a + b) = 5 - 3
⟹ 3a + b - a - b = 2
⟹ 2a = 2
⟹ a = 1
Substitute a value in equation (5).
⟹ 1 + b = 3
⟹ b = 3 - 1
⟹ b = 2
Therefore,
a = 1
b = 2
c = 3.
I hope it will help you.
Regards.
A carpenter has less than 120 minutes to spend painting furniture each day. Today, he has spent 30.5 minutes painting a desk. Now he will paint x chairs, each of which takes 12.5 minutes. What is the maximum number of chairs the carpenter can paint?
Answers
Answer:
Maximum number of chairs is 7.
Step-by-step explanation:
We are told he has less than 120 minutes to spend painting furniture each day.
Now he has spent 30.5 minutes painting a desk.
Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.
Thus, we have;
30.5 + 12.5x < 120
Subtract 30.5 from both sides to get;
12.5x < 120 - 30.5
12.5x < 89.5
x < 89.5/12.5
x < 7.16
Thus, maximum number of chairs he can paint is 7