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
A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?
Answers
Answer:
1 1/2
Step-by-step explanation:
Answer:
$1.26
Step-by-step explanation:
9.80/8 = 1.22500
1.22500 rounded up = 1.26
what is the opposite of 6.34
Answers
Answer:
-6.34
Step-by-step explanation:
the answer is -6.34
Find five liner solutions to the liner equation x-3/2y=-2 and plot the solutions as points o n a coordinate plane
PLEASE HELP i am failing math
Answers
Answer:
y=2x+4
if you need more help comment
what is a independent and dependent variable
Answers
Answer:
The independent variable doesn't rely on anything to change; it is independent
The dependent variable relies on the independent variable; what happens to it depends on the independent variable
Think of independent and dependent variables like cause and effect: the independent variable is the cause, while the dependent variable is the effect. For example; in an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.
I hope that wasn't to confusing!
I hope this helps! (✿◕‿◕✿)
Find DE
3x - 28
D
3x - 30
х
G
E
F
33
Answers
Answer:
EG= 18
Step-by-step explanation:
Please see the attached picture for the full solution.
72 + (7x+24) = 180
need to find value of x with steps
Answers
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults
15 points! :)
find the value of x for each figure. each figure is in the centimeters(cm). not to scale.
answer this, don't answer if you don't know
Answers
Answer:
10) 1/7
11) 3/4
12) 1/3
13) 1/2
14) 1/2
15) 7/9
Please help me!!!
Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?
1. How much money did they together have after making the payments?
2. How much money did Michael have after his pocket money was doubled. Find the value of x.
3. How much did Micheal's sister have before making the payment?
(ONLY THE ANSWER)
Answers
Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
Find three consecutive even integers whose sum is 48
Answers
Answer:
14, 16, and 18
Step-by-step explanation:
hope this helps!
Aha:/ help me please
Answers
Step-by-step explanation:
y<3x-6,x=0 for y>-3x-5,y=0
y<-6 x<-5/3
y=0,x>2 x=0, y>-5
therefore, values of x will be 2<x>-5/3
and values of y will be -5<y>-6
so the point will be (-9,-1)
hope it helps.
(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?
Answers
Answer:
Step-by-step explanation:
first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x and 6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.
I chose the wrong screensMaggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?hots for the last one, sorry about that!
Answers
A tv costs $150. You have a coupon for 12% off.
1) How much money will be taken off of the price of the tv?
2) How much will you pay for the tv?
Answers
Answer:$18 taken away and the total will be 132
Step-by-step explanation:
Pls help...
It is 12 points... Really need it for today
Answers
This is because what you're ultimately trying to do is find the difference in coordinates between the two figures, and that's 5 units to the left and 4 units up which is properly described by those coordinates
what dose the least common multiple of 4 and 6 mean in this situation (LCM)
Answers
Answer:
12
Step-by-step explanation:
You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.
find X X+3 5
—— = —
8 4
Answers
x
=
7
8
x
=
7
8
Decimal Form:
x
=
0.875
x
=
0.875
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
Answers
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
Learn more about solving linear equations here - https://brainly.com/question/1682776
#SPJ2
what is a counting system? what different types of counting systems are there? please help !
Answers
Answer:
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.
Step-by-step explanation:
Different types:
Oksapmin, base-27 body part counting. Photo Courtesy of Austronesian Counting. ...
Tzotzil, base-20 body part counting. ...
Yoruba, base-20 with subtraction. ...
Traditional Welsh, base-20 with a pivot at 15. ...
Alamblak, numbers built from 1, 2, 5, and 20. ...
Ndom, base-6. ...
Huli, base-15. ...
Bukiyip, base-3 and base-4 together.
Answer:
"A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value." Found on google not my words!
Step-by-step explanation:
Some different types are:
Decimal number system (Base- 10)
Binary number system (Base- 2)
Octal number system (Base-8)
Hexadecimal number system (Base- 16)
Please help me and explain your answer and how you got it.
Answers
Explaination
Answer:
35
Step-by-step explanation:
Its the only one that really makes sense.
PLEASE IM BEGGING U I NEED THIS PLEASE!!! THANK U FOR HELPING cries!!
What is the equation of the line, in standard form, if the slope is = - 1/4 and it passes through point (-3,4) ?
THANK U SO MUCH!!
Answers
Answer:
x+4y=13
Step-by-step explanation:
slope m= -1/4
(-3,4)
Slope intercept form: y=mx+c. plug in values of x,y,m, find c
4=(-1/4)*(-3)+c
c=4-3/4=(16-3)/4=13/4
Equation of line is:
y=(-1/4)x+13/4
To bring it to standard form, 4y=-x+13
x+4y=13
PLEASE HELP IM
GOING TO FAIL IF NOBODY ANSWERS THIS
Answers
Answer:
1) 180
2) 67
3) angle 4 and angle 1 are alternate interior angles
4) congruent
5) 59 degrees
6) alternate interior angles
7) congruent
8) 54 degrees
9) 180 degrees
10) 180 degrees
Step-by-step explanation:
Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).
Answers
5y = -2x + 15
y = -(2/5)x + 3
y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3
Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.
Answers
Answer:
Selection to make is C, D, E
Step-by-step explanation:
Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y
10 tulip = $10x
14 bulbs = $14y
The addition of both gives a total $402
10x + 14y = 402 •••••••(i)
11 tulip = $11x
4 dudafodil = $4y
Total is 237
11x + 4y = 237 ••••••••(ii)
So let’s solve to get the value of x and y
10x + 14y = 402
11x + 4y = 237
Divide equation 1 by 2
5x + 7y = 201
11x + 4y = 237
Multiply equation 1 by 4 and 2 by 7
20x + 28y = 804
77x + 28y = 1659
Subtract i from ii
57x = 855
x = 855/57
x = 15
Recall;
5x + 7y = 201
5(15) + 7y = 201
75 + 7y = 201
7y = 201-75
7y = 126
y = 126/7
y = 18
Cost of tulip is $15, cost of daffodil is $18
2/7x + 1/5x = 34 x= what?
Answers
Answer:
70
Step-by-step explanation:
[tex]\frac{2}{7}x +\frac{1}{5}x=34[/tex]
We need to combine like terms but since they are fractions we first need to find a common denominator. The common multiple of 5 and 7 is 35 so we need to multiply 7 by 5 and 5 by 7, but we have to do the same to the numerator too.
[tex]\frac{2*5}{7*5} +\frac{1*7}{5*7}[/tex]
[tex]\frac{10}{35}x+\frac{7}{35} x=34[/tex]
Combine like terms
[tex]\frac{17}{35}x=34[/tex]
Divide 34 by [tex]\frac{17}{35}[/tex]
[tex]\frac{34}{1} *\frac{35}{17} =\frac{1190}{17} =70[/tex]
Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS
Answers
Answer:
A. △GHD ≅ △EDH by SAS
Step-by-step explanation:
This is right on edge. 2020
In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.
Given :
∠GHD and ∠EDH are rightGH ≅ ED Triangles G H D and E D H overlap and intersect at point F.The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.
Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.
So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/8476788
Three friends order a pizza. Danny eats 1/2 of the pizza, Mike eats 1/3 of the pizza, and Chris eats 1/6 of the pizza. The next day they order a pizza and Danny eats 1/8, Mike eats 1/2, and Chris eats 3/8. Who ate the most pizza over the two days?
Answers
Answer:
It Mike who ate the most pizza
Step-by-step explanation:
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
Answers
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
(10 Points) Question is In picture:
Answers
Complete the steps to solve for x.
-0.66x + 0.46x = 5.2
X = 5.2
Answers
Answer:
[tex]\huge\boxed{x=-26}[/tex]
Step-by-step explanation:
[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]
Answer:
-26
Step-by-step explanation:
You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.
Answers
Answer:
t=1.58 seconds
Explanation:
The equation which models the height h of the seashell above water after t seconds
Height of seashell above water after t seconds; h = 40 - 8t²
Time that seashell is in air; t = 1.58 s
The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;
S = ut + ½gt²
Since it was dropped from a height and not the ground, then;
h = height of shell from ground
h_o = height from which the shell was dropped.
Thus, we have;
h - h_o = ut + ½gt²
We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;
h_o = 40 ft
It was dropped from rest and so; u = 0 ft/s
Acceleration due to gravity is; g = -32ft/s² (since it is free fall)
Thus;
h - 40 = 0(t) + ½(-32t²)
h = 40 - 8t²
The time that the seashell in the air will be after it has hit the surface which will be when h = 0.
Thus;
0 = 40 - 16t²
16t² = 40
t² = 40/16
t² = 2.5
t = √2.5
t = 1.58 s
Read more at; brainly.com/question/17576926